1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
|
The Project Gutenberg EBook of How it Works, by Archibald Williams
This eBook is for the use of anyone anywhere at no cost and with
almost no restrictions whatsoever. You may copy it, give it away or
re-use it under the terms of the Project Gutenberg License included
with this eBook or online at www.gutenberg.org
Title: How it Works
Dealing in simple language with steam, electricity, light,
heat, sound, hydraulics, optics, etc., and with their
applications to
Author: Archibald Williams
Release Date: April 10, 2009 [EBook #28553]
Language: English
Character set encoding: ASCII
*** START OF THIS PROJECT GUTENBERG EBOOK HOW IT WORKS ***
Produced by Steven Gibbs, Greg Bergquist and the Online
Distributed Proofreading Team at https://www.pgdp.net
Transcriber's Note
The punctuation and spelling from the original text have been faithfully
preserved. Only obvious typographical errors have been corrected.
Subscripts are represented as X_1. Superscripts are represented by X^1.
HOW IT WORKS
AUTHOR'S NOTE.
I beg to thank the following gentlemen and firms for the help they have
given me in connection with the letterpress and illustrations of "How It
Works"--
Messrs. F.J.C. Pole and M.G. Tweedie (for revision of MS.); W. Lineham;
J.F. Kendall; E. Edser; A.D. Helps; J. Limb; The Edison Bell Phonograph
Co.; Messrs. Holmes and Co.; The Pelton Wheel Co.; Messrs. Babcock and
Wilcox; Messrs. Siebe, Gorman, and Co.; Messrs. Negretti and Zambra;
Messrs. Chubb; The Yale Lock Co.; The Micrometer Engineering Co.;
Messrs. Marshall and Sons; The Maignen Filter Co.; Messrs. Broadwood and
Co.
[Illustration: ON THE FOOTPLATE OF A LOCOMOTIVE.]
How It Works
Dealing in Simple Language with Steam, Electricity,
Light, Heat, Sound, Hydraulics, Optics, etc.
and with their applications to Apparatus
in Common Use
By
ARCHIBALD WILLIAMS
Author of "The Romance of Modern Invention,"
"The Romance of Mining," etc., etc.
THOMAS NELSON AND SONS
London, Edinburgh, Dublin, and New York
PREFACE.
How does it work? This question has been put to me so often by persons
young and old that I have at last decided to answer it in such a manner
that a much larger public than that with which I have personal
acquaintance may be able to satisfy themselves as to the principles
underlying many of the mechanisms met with in everyday life.
In order to include steam, electricity, optics, hydraulics, thermics,
light, and a variety of detached mechanisms which cannot be classified
under any one of these heads, within the compass of about 450 pages, I
have to be content with a comparatively brief treatment of each subject.
This brevity has in turn compelled me to deal with principles rather
than with detailed descriptions of individual devices--though in several
cases recognized types are examined. The reader will look in vain for
accounts of the Yerkes telescope, of the latest thing in motor cars, and
of the largest locomotive. But he will be put in the way of
understanding the essential nature of _all_ telescopes, motors, and
steam-engines so far as they are at present developed, which I think may
be of greater ultimate profit to the uninitiated.
While careful to avoid puzzling the reader by the use of mysterious
phraseology I consider that the parts of a machine should be given their
technical names wherever possible. To prevent misconception, many of
the diagrams accompanying the letterpress have words as well as letters
written on them. This course also obviates the wearisome reference from
text to diagram necessitated by the use of solitary letters or figures.
I may add, with regard to the diagrams of this book, that they are
purposely somewhat unconventional, not being drawn to scale nor
conforming to the canons of professional draughtsmanship. Where
advisable, a part of a machine has been exaggerated to show its details.
As a rule solid black has been preferred to fine shading in sectional
drawings, and all unnecessary lines are omitted. I would here
acknowledge my indebtedness to my draughtsman, Mr. Frank Hodgson, for
his care and industry in preparing the two hundred or more diagrams for
which he was responsible.
Four organs of the body--the eye, the ear, the larynx, and the
heart--are noticed in appropriate places. The eye is compared with the
camera, the larynx with a reed pipe, the heart with a pump, while the
ear fitly opens the chapter on acoustics. The reader who is unacquainted
with physiology will thus be enabled to appreciate the better these
marvellous devices, far more marvellous, by reason of their absolutely
automatic action, than any creation of human hands.
A.W.
UPLANDS, STOKE POGES, BUCKS.
CONTENTS.
Chapter I.--THE STEAM-ENGINE.
What is steam?--The mechanical energy of steam--The boiler--The
circulation of water in a boiler--The enclosed furnace--The
multitubular boiler--Fire-tube boilers--Other types of boilers--Aids
to combustion--Boiler fittings--The safety-valve--The
water-gauge--The steam-gauge--The water supply to a
boiler 13
Chapter II.--THE CONVERSION OF HEAT ENERGY
INTO MECHANICAL MOTION.
Reciprocating engines--Double-cylinder engines--The function of
the fly-wheel--The cylinder--The slide-valve--The eccentric--"Lap"
of the valve: expansion of steam--How the cut-off is
managed--Limit of expansive working--Compound engines--Arrangement
of expansion engines--Compound locomotives--Reversing
gears--"Linking-up"--Piston-valves--Speed governors--Marine-speed
governors--The condenser 44
Chapter III.--THE STEAM TURBINE.
How a turbine works--The De Laval turbine--The Parsons turbine--Description
of the Parsons turbine--The expansive action of
steam in a Parsons turbine--Balancing the thrust--Advantages
of the marine turbine 74
Chapter IV.--THE INTERNAL-COMBUSTION ENGINE.
The meaning of the term--Action of the internal-combustion engine--The
motor car--The starting-handle--The engine--The carburetter--Ignition
of the charge--Advancing the spark--Governing
the engine--The clutch--The gear-box--The compensating
gear--The silencer--The brakes--Speed of cars 87
Chapter V.--ELECTRICAL APPARATUS.
What is electricity?--Forms of electricity--Magnetism--The permanent
magnet--Lines of force--Electro-magnets--The electric
bell--The induction coil--The condenser--Transformation of
current--Uses of the induction coil 112
Chapter VI.--THE ELECTRIC TELEGRAPH.
Needle instruments--Influence of current on the magnetic needle--Method
of reversing the current--Sounding instruments--Telegraphic
relays--Recording telegraphs--High-speed telegraphy 127
Chapter VII.--WIRELESS TELEGRAPHY.
The transmitting apparatus--The receiving apparatus--Syntonic
transmission--The advance of wireless telegraphy 137
Chapter VIII.--THE TELEPHONE.
The Bell telephone--The Edison transmitter--The granular carbon
transmitter--General arrangement of a telephone circuit--Double-line
circuits--Telephone exchanges--Submarine telephony 147
Chapter IX.--DYNAMOS AND ELECTRIC MOTORS.
A simple dynamo--Continuous-current dynamos--Multipolar
dynamos--Exciting the field magnets--Alternating current dynamos--The
transmission of power--The electric motor--Electric lighting--The
incandescent lamp--Arc lamps--"Series" and "parallel" arrangement of
lamps--Current for electric lamps--Electroplating 159
Chapter X.--RAILWAY BRAKES.
The Vacuum Automatic brake--The Westinghouse air-brake 187
Chapter XI.--RAILWAY SIGNALLING.
The block system--Position of signals--Interlocking the signals--Locking
gear--Points--Points and signals in combination--Working
the block system--Series of signalling operations--Single
line signals--The train staff--Train staff and ticket--Electric
train staff system--Interlocking--Signalling operations--Power
signalling--Pneumatic signalling--Automatic
signalling 200
Chapter XII.--OPTICS.
Lenses--The image cast by a convex lens--Focus--Relative position
of object and lens--Correction of lenses for colour--Spherical
aberration--Distortion of image--The human eye--The use of
spectacles--The blind spot 230
Chapter XIII.--THE MICROSCOPE, THE TELESCOPE,
AND THE MAGIC-LANTERN.
The simple microscope--Use of the simple microscope in the telescope--The
terrestrial telescope--The Galilean telescope--The
prismatic telescope--The reflecting telescope--The parabolic
mirror--The compound microscope--The magic-lantern--The
bioscope--The plane mirror 253
Chapter XIV.--SOUND AND MUSICAL INSTRUMENTS.
Nature of sound--The ear--Musical instruments--The vibration of
strings--The sounding-board and the frame of a piano--The
strings--The striking mechanism--The quality of a note 270
Chapter XV.--WIND INSTRUMENTS.
Longitudinal vibration--Columns of air--Resonance of columns of
air--Length and tone--The open pipe--The overtones of an
open pipe--Where overtones are used--The arrangement of the
pipes and pedals--Separate sound-boards--Varieties of stops--Tuning
pipes and reeds--The bellows--Electric and pneumatic
actions--The largest organ in the world--Human reeds 287
Chapter XVI.--TALKING-MACHINES.
The phonograph--The recorder--The reproducer--The gramophone--The
making of records--Cylinder records--Gramophone
records 310
Chapter XVII.--WHY THE WIND BLOWS.
Why the wind blows--Land and sea breezes--Light air and moisture--The
barometer--The column barometer--The wheel barometer--A
very simple barometer--The aneroid barometer--Barometers
and weather--The diving-bell--The diving-dress--Air-pumps--Pneumatic
tyres--The air-gun--The self-closing door-stop--The
action of wind on oblique surfaces--The balloon--The
flying-machine 322
Chapter XVIII.--HYDRAULIC MACHINERY.
The siphon--The bucket pump--The force-pump--The most marvellous
pump--The blood channels--The course of the blood--The
hydraulic press--Household water-supply fittings--The
ball-cock--The water-meter--Water-supply systems--The household
filter--Gas traps--Water engines--The cream separator--The
"hydro" 350
Chapter XIX.--HEATING AND LIGHTING.
The hot-water supply--The tank system--The cylinder system--How
a lamp works--Gas and gasworks--Automatic stoking--A
gas governor--The gas meter--Incandescent gas lighting 386
Chapter XX.--VARIOUS MECHANISMS.
CLOCKS AND WATCHES:--A short history of timepieces--The construction
of timepieces--The driving power--The escapement--Compensating
pendulums--The spring balance--The cylinder
escapement--The lever escapement--Compensated balance-wheels--Keyless
winding mechanism for watches--The hour hand
train. LOCKS:--The Chubb lock--The Yale lock. THE CYCLE:--The
gearing of a cycle--The free wheel--The change-speed gear.
AGRICULTURAL MACHINES:--The threshing-machine--Mowing-machines.
SOME NATURAL PHENOMENA:--Why sun-heat varies
in intensity--The tides--Why high tide varies daily 410
HOW IT WORKS.
Chapter I.
THE STEAM-ENGINE.
What is steam?--The mechanical energy of steam--The boiler--The
circulation of water in a boiler--The enclosed furnace--The
multitubular boiler--Fire-tube boilers--Other types of
boilers--Aids to combustion--Boiler fittings--The safety-valve--The
water-gauge--The steam-gauge--The water supply to a boiler.
WHAT IS STEAM?
If ice be heated above 32 deg. Fahrenheit, its molecules lose their
cohesion, and move freely round one another--the ice is turned into
water. Heat water above 212 deg. Fahrenheit, and the molecules exhibit a
violent mutual repulsion, and, like dormant bees revived by spring
sunshine, separate and dart to and fro. If confined in an air-tight
vessel, the molecules have their flights curtailed, and beat more and
more violently against their prison walls, so that every square inch of
the vessel is subjected to a rising pressure. We may compare the action
of the steam molecules to that of bullets fired from a machine-gun at a
plate mounted on a spring. The faster the bullets came, the greater
would be the continuous compression of the spring.
THE MECHANICAL ENERGY OF STEAM.
If steam is let into one end of a cylinder behind an air-tight but
freely-moving piston, it will bombard the walls of the cylinder and the
piston; and if the united push of the molecules on the one side of the
latter is greater than the resistance on the other side opposing its
motion, the piston must move. Having thus partly got their liberty, the
molecules become less active, and do not rush about so vigorously. The
pressure on the piston decreases as it moves. But if the piston were
driven back to its original position against the force of the steam, the
molecular activity--that is, pressure--would be restored. We are here
assuming that no heat has passed through the cylinder or piston and been
radiated into the air; for any loss of heat means loss of energy, since
heat _is_ energy.
THE BOILER.
The combustion of fuel in a furnace causes the walls of the furnace to
become _hot_, which means that the molecules of the substance forming
the walls are thrown into violent agitation. If the walls are what are
called "good conductors" of heat, they will transmit the agitation
through them to any surrounding substance. In the case of the ordinary
house stove this is the air, which itself is agitated, or grows warm. A
steam-boiler has the furnace walls surrounded by water, and its function
is to transmit molecular movement (heat, or energy) through the furnace
plates to the water until the point is reached when steam generates. At
atmospheric pressure--that is, if not confined in any way--steam would
fill 1,610 times the space which its molecules occupied in their watery
formation. If we seal up the boiler so that no escape is possible for
the steam molecules, their motion becomes more and more rapid, and
_pressure_ is developed by their beating on the walls of the boiler.
There is theoretically no limit to which the pressure may be raised,
provided that sufficient fuel-combustion energy is transmitted to the
vaporizing water.
To raise steam in large quantities we must employ a fuel which develops
great heat in proportion to its weight, is readily procured, and cheap.
Coal fulfils all these conditions. Of the 800 million tons mined
annually throughout the world, 400 million tons are burnt in the
furnaces of steam-boilers.
A good boiler must be--(1) Strong enough to withstand much higher
pressures than that at which it is worked; (2) so designed as to burn
its fuel to the greatest advantage.
Even in the best-designed boilers a large part of the combustion heat
passes through the chimney, while a further proportion is radiated from
the boiler. Professor John Perry[1] considers that this waste amounts,
under the best conditions at present obtainable, to eleven-twelfths of
the whole. We have to burn a shillingsworth of coal to capture the
energy stored in a pennyworth. Yet the steam-engine of to-day is three
or four times as efficient as the engine of fifty years ago. This is due
to radical improvements in the design of boilers and of the machinery
which converts the heat energy of steam into mechanical motion.
CIRCULATION OF WATER IN A BOILER.
If you place a pot filled with water on an open fire, and watch it when
it boils, you will notice that the water heaves up at the sides and
plunges down at the centre. This is due to the water being heated most
at the sides, and therefore being lightest there. The rising
steam-bubbles also carry it up. On reaching the surface, the bubbles
burst, the steam escapes, and the water loses some of its heat, and
rushes down again to take the place of steam-laden water rising.
[Illustration: FIG. 1.]
[Illustration: FIG. 2.]
If the fire is very fierce, steam-bubbles may rise from all points at
the bottom, and impede downward currents (Fig. 1). The pot then "boils
over."
Fig. 2 shows a method of preventing this trouble. We lower into our pot
a vessel of somewhat smaller diameter, with a hole in the bottom,
arranged in such a manner as to leave a space between it and the pot
all round. The upward currents are then separated entirely from the
downward, and the fire can be forced to a very much greater extent than
before without the water boiling over. This very simple arrangement is
the basis of many devices for producing free circulation of the water in
steam-boilers.
We can easily follow out the process of development. In Fig. 3 we see a
simple U-tube depending from a vessel of water. Heat is applied to the
left leg, and a steady circulation at once commences. In order to
increase the heating surface we can extend the heated leg into a long
incline (Fig. 4), beneath which three lamps instead of only one are
placed. The direction of the circulation is the same, but its rate is
increased.
[Illustration: FIG. 3.]
A further improvement results from increasing the number of tubes (Fig.
5), keeping them all on the slant, so that the heated water and steam
may rise freely.
THE ENCLOSED FURNACE.
[Illustration: FIG. 4.]
[Illustration: FIG. 5.]
Still, a lot of the heat gets away. In a steam-boiler the burning fuel
is enclosed either by fire-brick or a "water-jacket," forming part of
the boiler. A water-jacket signifies a double coating of metal plates
with a space between, which is filled with water (see Fig. 6). The fire
is now enclosed much as it is in a kitchen range. But our boiler must
not be so wasteful of the heat as is that useful household fixture. On
their way to the funnel the flames and hot gases should act on a very
large metal or other surface in contact with the water of the boiler, in
order to give up a due proportion of their heat.
[Illustration: FIG. 6.--Diagrammatic sketch of a locomotive type of
boiler. Water indicated by dotted lines. The arrows show the direction
taken by the air and hot gases from the air-door to the funnel.]
THE MULTITUBULAR BOILER.
[Illustration: FIG. 7.--The Babcock and Wilcox water-tube boiler. One
side of the brick seating has been removed to show the arrangement of
the water-tubes and furnace.]
To save room, boilers which have to make steam very quickly and at high
pressures are largely composed of pipes. Such boilers we call
multitubular. They are of two kinds--(1) _Water_-tube boilers; in which
the water circulates through tubes exposed to the furnace heat. The
Babcock and Wilcox boiler (Fig. 7) is typical of this variety. (2)
_Fire_-tube boilers; in which the hot gases pass through tubes
surrounded by water. The ordinary locomotive boiler (Fig. 6) illustrates
this form.
The Babcock and Wilcox boiler is widely used in mines, power stations,
and, in a modified form, on shipboard. It consists of two main
parts--(1) A drum, H, in the upper part of which the steam collects; (2)
a group of pipes arranged on the principle illustrated by Fig. 5. The
boiler is seated on a rectangular frame of fire-bricks. At one end is
the furnace door; at the other the exit to the chimney. From the furnace
F the flames and hot gases rise round the upper end of the sloping tubes
TT into the space A, where they play upon the under surface of H before
plunging downward again among the tubes into the space B. Here the
temperature is lower. The arrows indicate further journeys upwards into
the space C on the right of a fire-brick division, and past the down
tubes SS into D, whence the hot gases find an escape into the chimney
through the opening E. It will be noticed that the greatest heat is
brought to bear on TT near their junction with UU, the "uptake" tubes;
and that every succeeding passage of the pipes brings the gradually
cooling gases nearer to the "downtake" tubes SS.
The pipes TT are easily brushed and scraped after the removal of plugs
from the "headers" into which the tube ends are expanded.
Other well-known water-tube boilers are the Yarrow, Belleville,
Stirling, and Thorneycroft, all used for driving marine engines.
FIRE-TUBE BOILERS.
Fig. 6 shows a locomotive boiler in section. To the right is the
fire-box, surrounded on all sides by a water-jacket in direct
communication with the barrel of the boiler. The inner shell of the
fire-box is often made of copper, which withstands the fierce heat
better than steel; the outer, like the rest of the boiler, is of steel
plates from 1/2 to 3/4 inch thick. The shells of the jacket are braced
together by a large number of rivets, RR; and the top, or crown, is
strengthened by heavy longitudinal girders riveted to it, or is braced
to the top of the boiler by long bolts. A large number of fire-tubes
(only three are shown in the diagram for the sake of simplicity) extend
from the fire-box to the smoke-box. The most powerful "mammoth" American
locomotives have 350 or more tubes, which, with the fire-box, give 4,000
square feet of surface for the furnace heat to act upon. These tubes
are expanded at their ends by a special tool into the tube-plates of the
fire-box and boiler front. George Stephenson and his predecessors
experienced great difficulty in rendering the tube-end joints quite
water-tight, but the invention of the "expander" has removed this
trouble.
The _fire-brick arch_ shown (Fig. 6) in the fire-box is used to deflect
the flames towards the back of the fire-box, so that the hot gases may
be retarded somewhat, and their combustion rendered more perfect. It
also helps to distribute the heat more evenly over the whole of the
inside of the box, and prevents cold air from flying directly from the
firing door to the tubes. In some American and Continental locomotives
the fire-brick arch is replaced by a "water bridge," which serves the
same purpose, while giving additional heating surface.
The water circulation in a locomotive boiler is--upwards at the fire-box
end, where the heat is most intense; forward along the surface;
downwards at the smoke-box end; backwards along the bottom of the
barrel.
OTHER TYPES OF BOILERS.
For small stationary land engines the _vertical_ boiler is much used.
In Fig. 8 we have three forms of this type--A and B with cross
water-tubes; C with vertical fire-tubes. The furnace in every case is
surrounded by water, and fed through a door at one side.
[Illustration: FIG. 8.--Diagrammatic representation of three types of
vertical boilers.]
The _Lancashire_ boiler is of large size. It has a cylindrical shell,
measuring up to 30 feet in length and 7 feet in diameter, traversed from
end to end by two large flues, in the rear part of which are situated
the furnaces. The boiler is fixed on a seating of fire-bricks, so built
up as to form three flues, A and BB, shown in cross section in Fig. 9.
The furnace gases, after leaving the two furnace flues, are deflected
downwards into the channel A, by which they pass underneath the boiler
to a point almost under the furnace, where they divide right and left
and travel through cross passages into the side channels BB, to be led
along the boiler's flanks to the chimney exit C. By this arrangement the
effective heating surface is greatly increased; and the passages being
large, natural draught generally suffices to maintain proper combustion.
The Lancashire boiler is much used in factories and (in a modified form)
on ships, since it is a steady steamer and is easily kept in order.
[Illustration: FIG. 9.--Cross and longitudinal sections of a Lancashire
boiler.]
In marine boilers of cylindrical shape cross water-tubes and fire-tubes
are often employed to increase the heating surface. Return tubes are
also led through the water to the funnels, situated at the same end as
the furnace.
AIDS TO COMBUSTION.
We may now turn our attention more particularly to the chemical process
called _combustion_, upon which a boiler depends for its heat. Ordinary
steam coal contains about 85 per cent. of carbon, 7 per cent. of oxygen,
and 4 per cent. of hydrogen, besides traces of nitrogen and sulphur and
a small incombustible residue. When the coal burns, the nitrogen is
released and passes away without combining with any of the other
elements. The sulphur unites with hydrogen and forms sulphuretted
hydrogen (also named sulphurous acid), which is injurious to steel
plates, and is largely responsible for the decay of tubes and funnels.
More of the hydrogen unites with the oxygen as steam.
The most important element in coal is the carbon (known chemically by
the symbol C). Its combination with oxygen, called combustion, is the
act which heats the boiler. Only when the carbon present has combined
with the greatest possible amount of oxygen that it will take into
partnership is the combustion complete and the full heat-value (fixed by
scientific experiment at 14,500 thermal units per pound of carbon)
developed.
Now, carbon may unite with oxygen, atom for atom, and form _carbon
monoxide_ (CO); or in the proportion of one atom of carbon to _two_ of
oxygen, and form _carbon dioxide_ (CO_2). The former gas is
combustible--that is, will admit another atom of carbon to the
molecule--but the latter is saturated with oxygen, and will not burn,
or, to put it otherwise, is the product of _perfect_ combustion. A
properly designed furnace, supplied with a due amount of air, will cause
nearly all the carbon in the coal burnt to combine with the full amount
of oxygen. On the other hand, if the oxygen supply is inefficient, CO as
well as CO_2 will form, and there will be a heat loss, equal in
extreme cases to two-thirds of the whole. It is therefore necessary that
a furnace which has to eat up fuel at a great pace should be
artificially fed with air in the proportion of from 12 to 20 _pounds_ of
air for every pound of fuel. There are two methods of creating a violent
draught through the furnace. The first is--
The _forced draught_; very simply exemplified by the ordinary bellows
used in every house. On a ship (Fig. 10) the principle is developed as
follows:--The boilers are situated in a compartment or compartments
having no communication with the outer air, except for the passages down
which air is forced by powerful fans at a pressure considerably greater
than that of the atmosphere. There is only one "way out"--namely,
through the furnace and tubes (or gas-ways) of the boiler, and the
funnel. So through these it rushes, raising the fuel to white heat. As
may easily be imagined, the temperature of a stokehold, especially in
the tropics, is far from pleasant. In the Red Sea the thermometer
sometimes rises to 170 deg. Fahrenheit or more, and the poor stokers have
a very bad time of it.
[Illustration: FIG. 10.--Sketch showing how the "forced draught" is
produced in a stokehold and how it affects the furnaces.]
[Illustration: SCENE IN THE STOKEHOLD OF A BATTLE-SHIP.]
The second system is that of the _induced draught_. Here air is
_sucked_ through the furnace by creating a vacuum in the funnel and in a
chamber opening into it. Turning to Fig. 6, we see a pipe through which
the exhaust steam from the locomotive's cylinders is shot upwards into
the funnel, in which, and in the smoke-box beneath it, a strong vacuum
is formed while the engine is running. Now, "nature abhors a vacuum," so
air will get into the smoke-box if there be a way open. There
is--through the air-doors at the bottom of the furnace, the furnace
itself, and the fire-tubes; and on the way oxygen combines with the
carbon of the fuel, to form carbon dioxide. The power of the draught is
so great that, as one often notices when a train passes during the
night, red-hot cinders, plucked from the fire-box, and dragged through
the tubes, are hurled far into the air. It might be mentioned in
parenthesis that the so-called "smoke" which pours from the funnel of a
moving engine is mainly condensing steam. A steamship, on the other
hand, belches smoke only from its funnels, as fresh water is far too
precious to waste as steam. We shall refer to this later on (p. 72).
BOILER FITTINGS.
The most important fittings on a boiler are:--(1) the safety-valve; (2)
the water-gauge; (3) the steam-gauge; (4) the mechanisms for feeding it
with water.
THE SAFETY-VALVE.
Professor Thurston, an eminent authority on the steam-engine, has
estimated that a plain cylindrical boiler carrying 100 lbs. pressure to
the square inch contains sufficient stored energy to project it into the
air a vertical distance of 3-1/2 miles. In the case of a Lancashire
boiler at equal pressure the distance would be 2-1/2 miles; of a
locomotive boiler, at 125 lbs., 1-1/2 miles; of a steam tubular boiler,
at 75 lbs., 1 mile. According to the same writer, a cubic foot of heated
water under a pressure of from 60 to 70 lbs. per square inch has _about
the same energy as one pound of gunpowder_.
Steam is a good servant, but a terrible master. It must be kept under
strict control. However strong a boiler may be, it will burst if the
steam pressure in it be raised to a certain point; and some device must
therefore be fitted on it which will give the steam free egress before
that point is reached. A device of this kind is called a _safety-valve_.
It usually blows off at less than half the greatest pressure that the
boiler has been proved by experiment to be capable of withstanding.
In principle the safety-valve denotes an orifice closed by an
accurately-fitting plug, which is pressed against its seat on the boiler
top by a weighted lever, or by a spring. As soon as the steam pressure
on the face of the plug exceeds the counteracting force of the weight
or spring, the plug rises, and steam escapes until equilibrium of the
opposing forces is restored.
On stationary engines a lever safety-valve is commonly employed (Fig.
11). The blowing-off point can be varied by shifting the weight along
the arm so as to give it a greater or less leverage. On locomotive and
marine boilers, where shocks and movements have to be reckoned with,
weights are replaced by springs, set to a certain tension, and locked up
so that they cannot be tampered with.
[Illustration: FIG. 11.--A LEVER SAFETY-VALVE. V, valve; S, seating; P,
pin; L, lever; F, fulcrum; W, weight. The figures indicate the positions
at which the weight should be placed for the valve to act when the
pressure rises to that number of pounds per square inch.]
Boilers are tested by filling the boilers quite full and (1) by heating
the water, which expands slightly, but with great pressure; (2) by
forcing in additional water with a powerful pump. In either case a
rupture would not be attended by an explosion, as water is very
inelastic.
The days when an engineer could "sit on the valves"--that is, screw them
down--to obtain greater pressure, are now past, and with them a
considerable proportion of the dangers of high-pressure steam. The
Factory Act of 1895, in force throughout the British Isles, provides
that every boiler for generating steam in a factory or workshop where
the Act applies must have a proper safety-valve, steam-gauge, and
water-gauge; and that boilers and fittings must be examined by a
competent person at least once in every fourteen months. Neglect of
these provisions renders the owner of a boiler liable to heavy penalties
if an explosion occurs.
One of the most disastrous explosions on record took place at the Redcar
Iron Works, Yorkshire, in June 1895. In this case, twelve out of fifteen
boilers ranged side by side burst, through one proving too weak for its
work. The flying fragments of this boiler, striking the sides of other
boilers, exploded them, and so the damage was transmitted down the line.
Twenty men were killed and injured; while masses of metal, weighing
several tons each, were hurled 250 yards, and caused widespread damage.
The following is taken from a journal, dated December 22, 1895:
"_Providence_ (_Rhode Island_).--A recent prophecy that a boiler would
explode between December 16 and 24 in a store has seriously affected the
Christmas trade. Shoppers are incredibly nervous. One store advertises,
'No boilers are being used; lifts running electrically.' All stores have
had their boilers inspected."
THE WATER-GAUGE.
No fitting of a boiler is more important than the _water-gauge_, which
shows the level at which the water stands. The engineer must continually
consult his gauge, for if the water gets too low, pipes and other
surfaces exposed to the furnace flames may burn through, with disastrous
results; while, on the other hand, too much water will cause bad
steaming. A section of an ordinary gauge is seen in Fig. 12. It consists
of two parts, each furnished with a gland, G, to make a steam-tight
joint round the glass tube, which is inserted through the hole covered
by the plug P^1. The cocks T^1 T^2 are normally open, allowing the
ingress of steam and water respectively to the tube. Cock T^3 is kept
closed unless for any reason it is necessary to blow steam or water
through the gauge. The holes C C can be cleaned out if the plugs P^2
P^3 are removed.
Most gauges on high-pressure boilers have a thick glass screen in front,
so that in the event of the tube breaking, the steam and water may not
blow directly on to the attendants. A further precaution is to include
two ball-valves near the ends of the gauge-glass. Under ordinary
conditions the balls lie in depressions clear of the ways; but when a
rush of steam or water occurs they are sucked into their seatings and
block all egress.
[Illustration: FIG. 12.--Section of a water-gauge.]
On many boilers two water-gauges are fitted, since any gauge may work
badly at times. The glasses are tested to a pressure of 3,000 lbs. or
more to the square inch before use.
THE STEAM-GAUGE.
It is of the utmost importance that a person in charge of a boiler
should know what pressure the steam has reached. Every boiler is
therefore fitted with one _steam-gauge_; many with two, lest one might
be unreliable. There are two principal types of steam-gauge:--(1) The
Bourdon; (2) the Schaeffer-Budenberg. The principle of the Bourdon is
illustrated by Fig. 13, in which A is a piece of rubber tubing closed at
one end, and at the other drawn over the nozzle of a cycle tyre
inflator. If bent in a curve, as shown, the section of the tube is an
oval. When air is pumped in, the rubber walls endeavour to assume a
circular section, because this shape encloses a larger area than an oval
of equal circumference, and therefore makes room for a larger volume of
air. In doing so the tube straightens itself, and assumes the position
indicated by the dotted lines. Hang an empty "inner tube" of a pneumatic
tyre over a nail and inflate it, and you will get a good illustration of
the principle.
[Illustration: FIG. 13.--Showing the principle of the steam-gauge.]
[Illustration: FIG. 14.--Bourdon steam-gauge. Part of dial removed to
show mechanism.]
In Fig. 14 we have a Bourdon gauge, with part of the dial face broken
away to show the internal mechanism. T is a flattened metal tube
soldered at one end into a hollow casting, into which screws a tap
connected with the boiler. The other end (closed) is attached to a link,
L, which works an arm of a quadrant rack, R, engaging with a small
pinion, P, actuating the pointer. As the steam pressure rises, the tube
T moves its free end outwards towards the position shown by the dotted
lines, and traverses the arm of the rack, so shifting the pointer round
the scale. As the pressure falls, the tube gradually returns to its zero
position.
The Schaeffer-Budenberg gauge depends for its action on the elasticity of
a thin corrugated metal plate, on one side of which steam presses. As
the plate bulges upwards it pushes up a small rod resting on it, which
operates a quadrant and rack similar to that of the Bourdon gauge. The
principle is employed in another form for the aneroid barometer (p.
329).
THE WATER SUPPLY TO A BOILER.
The water inside a boiler is kept at a proper level by (1) pumps or (2)
injectors. The former are most commonly used on stationary and marine
boilers. As their mechanism is much the same as that of ordinary force
pumps, which will be described in a later chapter, we may pass at once
to the _injector_, now almost universally used on locomotive, and
sometimes on stationary boilers. At first sight the injector is a
mechanical paradox, since it employs the steam from a boiler to blow
water into the boiler. In Fig. 15 we have an illustration of the
principle of an injector. Steam is led from the boiler through pipe A,
which terminates in a nozzle surrounded by a cone, E, connected by the
pipe B with the water tank. When steam is turned on it rushes with
immense velocity from the nozzle, and creates a partial vacuum in cone
E, which soon fills with water. On meeting the water the steam
condenses, but not before it has imparted some of its _velocity_ to the
water, which thus gains sufficient momentum to force down the valve and
find its way to the boiler. The overflow space O O between E and C
allows steam and water to escape until the water has gathered the
requisite momentum.
[Illustration: FIG. 15.--Diagram illustrating the principle of a
steam-injector.]
[Illustration: FIG. 16.--The Giffard injector.]
A form of injector very commonly used is Giffard's (Fig. 16). Steam is
allowed to enter by screwing up the valve V. As it rushes through the
nozzle of the cone A it takes up water and projects it into the "mixing
cone" B, which can be raised or lowered by the pinion D (worked by the
hand-wheel wheel shown) so as to regulate the amount of water admitted
to B. At the centre of B is an aperture, O, communicating with the
overflow. The water passes to the boiler through the valve on the left.
It will be noticed that the cone A and the part of B above the orifice O
contract downward. This is to convert the _pressure_ of the steam into
_velocity_. Below O is a cone, the diameter of which increases
downwards. Here the _velocity_ of the water is converted back into
_pressure_ in obedience to a well-known hydromechanic law.
An injector does not work well if the feed-water be too hot to condense
the steam quickly; and it may be taken as a rule that the warmer the
water, the smaller is the amount of it injected by a given weight of
steam.[2] Some injectors have flap-valves covering the overflow orifice,
to prevent air being sucked in and carried to the boiler.
When an injector receives a sudden shock, such as that produced by the
passing of a locomotive over points, it is liable to "fly off"--that is,
stop momentarily--and then send the steam and water through the
overflow. If this happens, both steam and water must be turned off, and
the injector be restarted; unless it be of the _self-starting_ variety,
which automatically controls the admission of water to the
"mixing-cone," and allows the injector to "pick up" of itself.
For economy's sake part of the steam expelled from the cylinders of a
locomotive is sometimes used to work an injector, which passes the water
on, at a pressure of 70 lbs. to the square inch, to a second injector
operated by high-pressure steam coming direct from the boiler, which
increases its velocity sufficiently to overcome the boiler pressure. In
this case only a fraction of the weight of high-pressure steam is
required to inject a given weight of water, as compared with that used
in a single-stage injector.
[1] "The Steam-Engine," p. 3.
[2] By "weight of steam" is meant the steam produced by boiling a
certain weight of water. A pound of steam, if condensed, would form a
pound of water.
Chapter II.
THE CONVERSION OF HEAT ENERGY INTO MECHANICAL MOTION.
Reciprocating engines--Double-cylinder engines--The function of the
fly-wheel--The cylinder--The slide-valve--The eccentric--"Lap" of
the valve: expansion of steam--How the cut-off is managed--Limit of
expansive working--Compound engines--Arrangement of expansion
engines--Compound locomotives--Reversing
gears--"Linking-up"--Piston-valves--Speed governors--Marine-speed
governors--The condenser.
Having treated at some length the apparatus used for converting water
into high-pressure steam, we may pass at once to a consideration of the
mechanisms which convert the energy of steam into mechanical motion, or
_work_.
Steam-engines are of two kinds:--(1) _reciprocating_, employing
cylinders and cranks; (2) _rotary_, called turbines.
RECIPROCATING ENGINES.
[Illustration: FIG. 17.--Sketch showing parts of a horizontal
steam-engine.]
Fig. 17 is a skeleton diagram of the simplest form of reciprocating
engine. C is a _cylinder_ to which steam is admitted through the
_steam-ways_[3] W W, first on one side of the piston P, then on the
other. The pressure on the piston pushes it along the cylinder, and the
force is transmitted through the piston rod P R to the _connecting rod_
C R, which causes the _crank_ K to revolve. At the point where the two
rods meet there is a "crosshead," H, running to and fro in a guide to
prevent the piston rod being broken or bent by the oblique thrusts and
pulls which it imparts through C R to the crank K. The latter is keyed
to a _shaft_ S carrying the fly-wheel, or, in the case of a locomotive,
the driving-wheels. The crank shaft revolves in bearings. The internal
diameter of a cylinder is called its _bore_. The travel of the piston is
called its _stroke_. The distance from the centre of the shaft to the
centre of the crank pin is called the crank's _throw_, which is half of
the piston's _stroke_. An engine of this type is called double-acting,
as the piston is pushed alternately backwards and forwards by the steam.
When piston rod, connecting rod, and crank lie in a straight line--that
is, when the piston is fully out, or fully in--the crank is said to be
at a "dead point;" for, were the crank turned to such a position, the
admission of steam would not produce motion, since the thrust or pull
would be entirely absorbed by the bearings.
[Illustration: FIG. 18.--Sectional plan of a horizontal engine.]
DOUBLE-CYLINDER ENGINES.
[Illustration: FIG. 19.]
[Illustration: FIG. 20.]
Locomotive, marine, and all other engines which must be started in any
position have at least _two_ cylinders, and as many cranks set at an
angle to one another. Fig. 19 demonstrates that when one crank, C_1,
of a double-cylinder engine is at a "dead point," the other, C_2, has
reached a position at which the piston exerts the maximum of turning
power. In Fig. 20 each crank is at 45 deg. with the horizontal, and both
pistons are able to do work. The power of one piston is constantly
increasing while that of the other is decreasing. If _single_-action
cylinders are used, at least _three_ of these are needed to produce a
perpetual turning movement, independently of a fly-wheel.
THE FUNCTION OF THE FLY-WHEEL.
A fly-wheel acts as a _reservoir of energy_, to carry the crank of a
single-cylinder engine past the "dead points." It is useful in all
reciprocating engines to produce steady running, as a heavy wheel acts
as a drag on the effects of a sudden increase or decrease of steam
pressure. In a pump, mangold-slicer, cake-crusher, or chaff-cutter, the
fly-wheel helps the operator to pass _his_ dead points--that is, those
parts of the circle described by the handle in which he can do little
work.
THE CYLINDER.
[Illustration: FIG. 21.--Diagrammatic section of a cylinder and its
slide-valve.]
The cylinders of an engine take the place of the muscular system of the
human body. In Fig. 21 we have a cylinder and its slide-valve shown in
section. First of all, look at P, the piston. Round it are white
grooves, R R, in which rings are fitted to prevent the passage of steam
past the piston. The rings are cut through at one point in their
circumference, and slightly opened, so that when in position they press
all round against the walls of the cylinder. After a little use they
"settle down to their work"--that is, wear to a true fit in the
cylinder. Each end of the cylinder is closed by a cover, one of which
has a boss cast on it, pierced by a hole for the piston rod to work
through. To prevent the escape of steam the boss is hollowed out true to
accommodate a _gland_, G^1, which is threaded on the rod and screwed
up against the boss; the internal space between them being filled with
packing. Steam from the boiler enters the steam-chest, and would have
access to both sides of the piston simultaneously through the
steam-ways, W W, were it not for the
SLIDE-VALVE,
a hollow box open at the bottom, and long enough for its edges to cover
both steam-ways at once. Between W W is E, the passage for the exhaust
steam to escape by. The edges of the slide-valve are perfectly flat, as
is the face over which the valve moves, so that no steam may pass under
the edges. In our illustration the piston has just begun to move towards
the right. Steam enters by the left steam-way, which the valve is just
commencing to uncover. As the piston moves, the valve moves in the same
direction until the port is fully uncovered, when it begins to move back
again; and just before the piston has finished its stroke the steam-way
on the right begins to open. The steam-way on the left is now in
communication with the exhaust port E, so that the steam that has done
its duty is released and pressed from the cylinder by the piston.
_Reciprocation_ is this backward and forward motion of the piston: hence
the term "reciprocating" engines. The linear motion of the piston rod is
converted into rotatory motion by the connecting rod and crank.
[Illustration: FIG. 22.--Perspective section of cylinder.]
The use of a crank appears to be so obvious a method of producing this
conversion that it is interesting to learn that, when James Watt
produced his "rotative engine" in 1780 he was unable to use the crank
because it had already been patented by one Matthew Wasborough. Watt was
not easily daunted, however, and within a twelvemonth had himself
patented five other devices for obtaining rotatory motion from a piston
rod. Before passing on, it may be mentioned that Watt was the father of
the modern--that is, the high-pressure--steam-engine; and that, owing to
the imperfection of the existing machinery, the difficulties he had to
overcome were enormous. On one occasion he congratulated himself because
one of his steam-cylinders was only three-eighths of an inch out of
truth in the bore. Nowadays a good firm would reject a cylinder 1/500 of
an inch out of truth; and in small petrol-engines 1/5000 of an inch is
sometimes the greatest "limit of error" allowed.
[Illustration: FIG. 23.--The eccentric and its rod.]
THE ECCENTRIC
is used to move the slide-valve to and fro over the steam ports (Fig.
23). It consists of three main parts--the _sheave_, or circular plate S,
mounted on the crank shaft; and the two _straps_ which encircle it, and
in which it revolves. To one strap is bolted the "big end" of the
eccentric rod, which engages at its other end with the valve rod. The
straps are semicircular and held together by strong bolts, B B, passing
through lugs, or thickenings at the ends of the semicircles. The sheave
has a deep groove all round the edges, in which the straps ride. The
"eccentricity" or "throw" of an eccentric is the distance between C^2,
the centre of the shaft, and C^1, the centre of the sheave. The throw
must equal half of the distance which the slide-valve has to travel over
the steam ports. A tapering steel wedge or key, K, sunk half in the
eccentric and half in a slot in the shaft, holds the eccentric steady
and prevents it slipping. Some eccentric sheaves are made in two parts,
bolted together, so that they may be removed easily without dismounting
the shaft.
The eccentric is in principle nothing more than a crank pin so
exaggerated as to be larger than the shaft of the crank. Its convenience
lies in the fact that it may be mounted at any point on a shaft, whereas
a crank can be situated at an end only, if it is not actually a V-shaped
bend in the shaft itself--in which case its position is of course
permanent.
SETTING OF THE SLIDE-VALVE AND ECCENTRIC.
The subject of valve-setting is so extensive that a full exposition
might weary the reader, even if space permitted its inclusion. But
inasmuch as the effectiveness of a reciprocating engine depends largely
on the nature and arrangement of the valves, we will glance at some of
the more elementary principles.
[Illustration: FIG. 24.]
[Illustration: FIG. 25.]
In Fig. 24 we see in section the slide-valve, the ports of the cylinder,
and part of the piston. To the right are two lines at right angles--the
thicker, C, representing the position of the crank; the thinner, E, that
of the eccentric. (The position of an eccentric is denoted
diagrammatically by a line drawn from the centre of the crank shaft
through the centre of the sheave.) The edges of the valve are in this
case only broad enough to just cover the ports--that is, they have no
_lap_. The piston is about to commence its stroke towards the left; and
the eccentric, which is set at an angle of 90 deg. in _advance_ of the
crank, is about to begin opening the left-hand port. By the time that C
has got to the position originally occupied by E, E will be horizontal
(Fig. 25)--that is, the eccentric will have finished its stroke towards
the left; and while C passes through the next right angle the valve will
be closing the left port, which will cease to admit steam when the
piston has come to the end of its travel. The operation is repeated on
the right-hand side while the piston returns.
[Illustration: FIG. 26.]
It must be noticed here--(1) that steam is admitted at full pressure
_all through_ the stroke; (2) that admission begins and ends
simultaneously with the stroke. Now, in actual practice it is necessary
to admit steam before the piston has ended its travel, so as to
_cushion_ the violence of the sudden change of direction of the piston,
its rod, and other moving parts. To effect this, the eccentric is set
more than 90 deg. in advance--that is, more than what the engineers call
_square_. Fig. 26 shows such an arrangement. The angle between E and
E^1 is called the _angle of advance_. Referring to the valve, you will
see that it has opened an appreciable amount, though the piston has not
yet started on its rightwards journey.
"LAP" OF THE VALVE--EXPANSION OF STEAM.
In the simple form of valve that appears in Fig. 24, the valve faces are
just wide enough to cover the steam ports. If the eccentric is not
_square_ with the crank, the admission of steam lasts until the very end
of the stroke; if set a little in advance--that is, given _lead_--the
steam is cut off before the piston has travelled quite along the
cylinder, and readmitted before the back stroke is accomplished. Even
with this lead the working is very uneconomical, as the steam goes to
the exhaust at practically the same pressure as that at which it entered
the cylinder. Its property of _expansion_ has been neglected. But
supposing that steam at 100 lbs. pressure were admitted till
half-stroke, and then suddenly cut off, the expansive nature of the
steam would then continue to push the piston out until the pressure had
decreased to 50 lbs. per square inch, at which pressure it would go to
the exhaust. Now, observe that all the work done by the steam after the
cut-off is so much power saved. The _average_ pressure on the piston is
not so high as in the first case; still, from a given volume of 100 lbs.
pressure steam we get much more _work_.
HOW THE CUT-OFF IS MANAGED.
[Illustration: FIG. 27.--A slide-valve with "lap."]
[Illustration: FIG. 28.]
Look at Fig. 27. Here we have a slide-valve, with faces much wider than
the steam ports. The parts marked black, P P, are those corresponding to
the faces of the valves shown in previous diagrams (p. 54). The shaded
parts, L L, are called the _lap_. By increasing the length of the lap we
increase the range of expansive working. Fig. 28 shows the piston full
to the left; the valve is just on the point of opening to admit steam
behind the piston. The eccentric has a throw equal to the breadth of a
port + the lap of the valve. That this must be so is obvious from a
consideration of Fig. 27, where the valve is at its central position.
Hence the very simple formula:--Travel of valve = 2 x (lap + breadth of
port). The path of the eccentric's centre round the centre of the shaft
is indicated by the usual dotted line (Fig. 28). You will notice that
the "angle of advance," denoted by the arrow A, is now very
considerable. By the time that the crank C has assumed the position of
the line S, the eccentric has passed its dead point, and the valve
begins to travel backwards, eventually returning to the position shown
in Fig. 28, and cutting off the steam supply while the piston has still
a considerable part of its stroke to make. The steam then begins to work
expansively, and continues to do so until the valve assumes the position
shown in Fig. 27.
If the valve has to have "lead" to admit steam _before_ the end of the
stroke to the other side of the piston, the _angle of advance_ must be
increased, and the eccentric centre line would lie on the line E^2.
Therefore--total angle of advance = angle for _lap_ and angle for
_lead_.
LIMIT OF EXPANSIVE WORKING.
Theoretically, by increasing the _lap_ and cutting off the steam earlier
and earlier in the stroke, we should economize our power more and more.
But in practice a great difficulty is met with--namely, that _as the
steam expands its temperature falls_. If the cut-off occurs early, say
at one-third stroke, the great expansion will reduce the temperature of
the metal walls of the cylinder to such an extent, that when the next
spirt of steam enters from the other end a considerable proportion of
the steam's energy will be lost by cooling. In such a case, the
difference in temperature between admitted steam and exhausted steam is
too great for economy. Yet we want to utilize as much energy as
possible. How are we to do it?
COMPOUND ENGINES.
In the year 1853, John Elder, founder of the shipping firm of Elder and
Co., Glasgow, introduced the _compound_ engine for use on ships. The
steam, when exhausted from the high-pressure cylinder, passed into
another cylinder of equal stroke but larger diameter, where the
expansion continued. In modern engines the expansion is extended to
three and even four stages, according to the boiler pressure; for it is
a rule that the higher the initial pressure is, the larger is the number
of stages of expansion consistent with economical working.
[Illustration: FIG. 29.--Sketch of the arrangement of a
triple-expansion marine engine. No valve gear or supports, etc., shown.]
In Fig. 29 we have a triple-expansion marine engine. Steam enters the
high-pressure cylinder[4] at, say, 200 lbs. per square inch. It exhausts
at 75 lbs. into the large pipe 2, and passes to the intermediate
cylinder, whence it is exhausted at 25 lbs. or so through pipe 3 to the
low-pressure cylinder. Finally, it is ejected at about 8 lbs. per square
inch to the condenser, and is suddenly converted into water; an act
which produces a vacuum, and diminishes the back-pressure of the exhaust
from cylinder C. In fact, the condenser exerts a _sucking_ power on the
exhaust side of C's piston.
ARRANGEMENT OF EXPANSION ENGINES.
In the illustration the cranks are set at angles of 120 deg., or a third
of a circle, so that one or other is always at or near the position of
maximum turning power. Where only two stages are used the cylinders are
often arranged _tandem_, both pistons having a common piston rod and
crank. In order to get a constant turning movement they must be mounted
separately, and work cranks set at right angles to one another.
COMPOUND LOCOMOTIVES.
In 1876 Mr. A. Mallet introduced _compounding_ in locomotives; and the
practice has been largely adopted. The various types of "compounds" may
be classified as follows:--(1) One low-pressure and one high-pressure
cylinder; (2) one high-pressure and two low-pressure; (3) one
low-pressure and two high-pressure; (4) two high-pressure and two
low-pressure. The last class is very widely used in France, America, and
Russia, and seems to give the best results. Where only two cylinders are
used (and sometimes in the case of three and four), a valve arrangement
permits the admission of high-pressure steam to both high and
low-pressure cylinders for starting a train, or moving it up heavy
grades.
REVERSING GEARS.
[Illustration: FIGS. 30, 31, 32.--Showing how a reversing gear alters
the position of the slide-valve.]
The engines of a locomotive or steamship must be reversible--that is,
when steam is admitted to the cylinders, the engineer must be able to
so direct it through the steam-ways that the cranks may turn in the
desired direction. The commonest form of reversing device (invented by
George Stephenson) is known as Stephenson's Link Gear. In Fig. 30 we
have a diagrammatic presentment of this gear. E^1 and E^2 are two
eccentrics set square with the crank at opposite ends of a diameter.
Their rods are connected to the ends of a link, L, which can be raised
and lowered by means of levers (not shown). B is a block which can
partly revolve on a pin projecting from the valve rod, working through
a guide, G. In Fig. 31 the link is half raised, or in "mid-gear," as
drivers say. Eccentric E^1 has pushed the lower end of the link fully
back; E^2 has pulled it fully forward; and since any movement of the
one eccentric is counterbalanced by the opposite movement of the other,
rotation of the eccentrics would not cause the valve to move at all, and
no steam could be admitted to the cylinder.
Let us suppose that Fig. 30 denotes one cylinder, crank, rods, etc., of
a locomotive. The crank has come to rest at its half-stroke; the
reversing lever is at the mid-gear notch. If the engineer desires to
turn his cranks in an anti-clockwise direction, he _raises_ the link,
which brings the rod of E^1 into line with the valve rod and presses
the block _backwards_ till the right-hand port is uncovered (Fig. 31).
If steam be now admitted, the piston will be pushed towards the left,
and the engine will continue to run in an anti-clockwise direction. If,
on the other hand, he wants to run the engine the other way, he would
_drop_ the link, bringing the rod of E^2 into line with the valve rod,
and drawing V _forward_ to uncover the rear port (Fig. 32). In either
case the eccentric working the end of the link remote from B has no
effect, since it merely causes that end to describe arcs of circles of
which B is the centre.
"LINKING UP."
If the link is only partly lowered or raised from the central position
it still causes the engine to run accordingly, but the movement of the
valve is decreased. When running at high speed the engineer "links up"
his reversing gear, causing his valves to cut off early in the stroke,
and the steam to work more expansively than it could with the lever at
_full_, or _end_, gear; so that this device not only renders an engine
reversible, but also gives the engineer an absolute command over the
expansion ratio of the steam admitted to the cylinder, and furnishes a
method of cutting off the steam altogether. In Figs. 30, 31, 32, the
valve has no lap and the eccentrics are set square. In actual practice
the valve faces would have "lap" and the eccentric "lead" to correspond;
but for the sake of simplicity neither is shown.
OTHER GEARS.
In the Gooch gear for reversing locomotives the link does not shift, but
the valve rod and its block is raised or lowered. The Allan gear is so
arranged that when the link is raised the block is lowered, and _vice
versa_. These are really only modifications of Stephenson's
principle--namely, the employment of _two_ eccentrics set at equal
angles to and on opposite sides of the crank. There are three other
forms of link-reversing gear, and nearly a dozen types of _radial_
reversing devices; but as we have already described the three most
commonly used on locomotives and ships, there is no need to give
particulars of these.
Before the introduction of Stephenson's gear a single eccentric was used
for each cylinder, and to reverse the engine this eccentric had to be
loose on the axle. "A lever and gear worked by a treadle on the
footplate controlled the position of the eccentrics. When starting the
engine, the driver put the eccentrics out of gear by the treadle; then,
by means of a lever he raised the small-ends[5] of the eccentric rods,
and, noting the position of the cranks, or, if more convenient, the
balance weight in the wheels, he, by means of another handle, moved the
valves to open the necessary ports to steam and worked them by hand
until the engine was moving; then, with the treadle, he threw the
eccentrics over to engage the studs, at the same time dropping the
small-ends of the rods to engage pins upon the valve spindles, so that
they continued to keep up the movement of the valve."[6] One would
imagine that in modern shunting yards such a device would somewhat delay
operations!
PISTON VALVES.
In marine engines, and on many locomotives and some stationary engines,
the D-valve (shown in Figs. 30-32) is replaced by a piston valve, or
circular valve, working up and down in a tubular seating. It may best be
described as a rod carrying two pistons which correspond to the faces of
a D-valve. Instead of rectangular ports there are openings in the tube
in which the piston valve moves, communicating with the steam-ways into
the cylinder and with the exhaust pipe. In the case of the D-valve the
pressure above it is much greater than that below, and considerable
friction arises if the rubbing faces are not kept well lubricated. The
piston valve gets over this difficulty, since such steam as may leak
past it presses on its circumference at all points equally.
SPEED GOVERNORS.
[Illustration: FIG. 33.--A speed governor.]
Practically all engines except locomotives and those known as
"donkey-engines"--used on cranes--are fitted with some device for
keeping the rotatory speed of the crank constant within very narrow
limits. Perhaps you have seen a pair of balls moving round on a seating
over the boiler of a threshing-engine. They form part of the "governor,"
or speed-controller, shown in principle in Fig. 33. A belt driven by a
pulley on the crank shaft turns a small pulley, P, at the foot of the
governor. This transmits motion through two bevel-wheels, G, to a
vertical shaft, from the top of which hang two heavy balls on links, K
K. Two more links, L L, connect the balls with a weight, W, which has a
deep groove cut round it at the bottom. When the shaft revolves, the
balls fly outwards by centrifugal force, and as their velocity increases
the quadrilateral figure contained by the four links expands laterally
and shortens vertically. The angles between K K and L L become less and
less obtuse, and the weight W is drawn upwards, bringing with it the
fork C of the rod A, which has ends engaging with the groove. As C
rises, the other end of the rod is depressed, and the rod B depresses
rod O, which is attached to the spindle operating a sort of shutter in
the steam-pipe. Consequently the supply of steam is throttled more and
more as the speed increases, until it has been so reduced that the
engine slows, and the balls fall, opening the valve again. Fig. 34 shows
the valve fully closed. This form of governor was invented by James
Watt. A spring is often used instead of a weight, and the governor is
arranged horizontally so that it may be driven direct from the crank
shaft without the intervention of bevel gearing.
[Illustration: FIG. 34.]
The Hartwell governor employs a link motion. You must here picture the
balls raising and lowering the _free end_ of the valve rod, which
carries a block moving in a link connected with the eccentric rod. The
link is pivoted at the upper end, and the eccentric rod is attached to
the lower. When the engine is at rest the end of the valve rod and its
block are dropped till in a line with the eccentric rod; but when the
machinery begins to work the block is gradually drawn up by the
governor, diminishing the movement of the valve, and so shortening the
period of steam admission to the cylinder.
Governors are of special importance where the _load_ of an engine is
constantly varying, as in the case of a sawmill. A good governor will
limit variation of speed within two per cent.--that is, if the engine is
set to run at 100 revolutions a minute, it will not allow it to exceed
101 or fall below 99. In _very_ high-speed engines the governing will
prevent variation of less than one per cent., even when the load is at
one instant full on, and the next taken completely off.
MARINE GOVERNORS.
These must be more quick-acting than those used on engines provided with
fly-wheels, which prevent very sudden variations of speed. The screw is
light in proportion to the engine power, and when it is suddenly raised
from the water by the pitching of the vessel, the engine would race till
the screw took the water again, unless some regulating mechanism were
provided. Many types of marine governors have been tried. The most
successful seems to be one in which water is being constantly forced by
a pump driven off the engine shaft into a cylinder controlling a
throttle-valve in the main steam-pipe. The water escapes through a leak,
which is adjustable. As long as the speed of the engine is normal, the
water escapes from the cylinder as fast as it is pumped in, and no
movement of the piston results; but when the screw begins to race, the
pump overcomes the leak, and the piston is driven out, causing a
throttling of the steam supply.
CONDENSERS.
The _condenser_ serves two purposes:--(1) It makes it possible to use
the same water over and over again in the boilers. On the sea, where
fresh water is not obtainable in large quantities, this is a matter of
the greatest importance. (2) It adds to the power of a compound engine
by exerting a back pull on the piston of the low-pressure cylinder while
the steam is being exhausted.
[Illustration: FIG. 35.--The marine condenser.]
Fig. 35 is a sectional illustration of a marine condenser. Steam enters
the condenser through the large pipe E, and passes among a number of
very thin copper tubes, through which sea-water is kept circulating by a
pump. The path of the water is shown by the featherless arrows. It comes
from the pump through pipe A into the lower part of a large cap covering
one end of the condenser and divided transversely by a diaphragm, D.
Passing through the pipes, it reaches the cap attached to the other end,
and flows back through the upper tubes to the outlet C. This arrangement
ensures that, as the steam condenses, it shall meet colder and colder
tubes, and finally be turned to water, which passes to the well through
the outlet F. In some condensers the positions of steam and water are
reversed, steam going through the tubes outside which cold water
circulates.
[3] Also called _ports_.
[4] The bores of the cylinders are in the proportion of 4: 6: 9. The
stroke of all three is the same.
[5] The ends furthest from the eccentric.
[6] "The Locomotive of To-day," p. 87.
Chapter III.
THE STEAM TURBINE.
How a turbine works--The De Laval turbine--The Parsons
turbine--Description of the Parsons turbine--The expansive action
of steam in a Parsons turbine--Balancing the thrust--Advantages of
the marine turbine.
More than two thousand years ago Hero of Alexandria produced the first
apparatus to which the name of steam-engine could rightly be given. Its
principle was practically the same as that of the revolving jet used to
sprinkle lawns during dry weather, steam being used in the place of
water. From the top of a closed cauldron rose two vertical pipes, which
at their upper ends had short, right-angle bends. Between them was hung
a hollow globe, pivoted on two short tubes projecting from its sides
into the upright tubes. Two little L-shaped pipes projected from
opposite sides of the globe, at the ends of a diameter, in a plane
perpendicular to the axis. On fire being applied to the cauldron, steam
was generated. It passed up through the upright, through the pivots, and
into the globe, from which it escaped by the two L-shaped nozzles,
causing rapid revolution of the ball. In short, the first steam-engine
was a turbine. Curiously enough, we have reverted to this primitive type
(scientifically developed, of course) in the most modern engineering
practice.
HOW A TURBINE WORKS.
In reciprocating--that is, cylinder--engines steam is admitted into a
chamber and the door shut behind it, as it were. As it struggles to
expand, it forces out one of the confining walls--that is, the
piston--and presently the door opens again, and allows it to escape when
it has done its work. In Hero's toy the impact of the issuing molecules
against other molecules that have already emerged from the pipes was
used. One may compare the reaction to that exerted by a thrown stone on
the thrower. If the thrower is standing on skates, the reaction of the
stone will cause him to glide backwards, just as if he had pushed off
from some fixed object. In the case of the _reaction_--namely, the
Hero-type--turbine the nozzle from which the steam or water issues
moves, along with bodies to which it may be attached. In _action_
turbines steam is led through fixed nozzles or steam-ways, and the
momentum of the steam is brought to bear on the surfaces of movable
bodies connected with the shaft.
THE DE LAVAL TURBINE.
In its earliest form this turbine was a modification of Hero's. The
wheel was merely a pipe bent in S form, attached at its centre to a
hollow vertical shaft supplied with steam through a stuffing-box at one
extremity. The steam blew out tangentially from the ends of the S,
causing the shaft to revolve rapidly and work the machinery (usually a
cream separator) mounted on it. This motor proved very suitable for
dairy work, but was too wasteful of steam to be useful where high power
was needed.
[Illustration: FIG. 36.--The wheel and nozzles of a De Laval turbine.]
In the De Laval turbine as now constructed the steam is blown from
stationary nozzles against vanes mounted on a revolving wheel. Fig. 36
shows the nozzles and a turbine wheel. The wheel is made as a solid
disc, to the circumference of which the vanes are dovetailed separately
in a single row. Each vane is of curved section, the concave side
directed towards the nozzles, which, as will be gathered from the
"transparent" specimen on the right of our illustration, gradually
expand towards the mouth. This is to allow the expansion of the steam,
and a consequent gain of velocity. As it issues, each molecule strikes
against the concave face of a vane, and, while changing its direction,
is robbed of its kinetic energy, which passes to the wheel. To turn
once more to a stone-throwing comparison, it is as if a boy were pelting
the wheel with an enormous number of tiny stones. Now, escaping
high-pressure steam moves very fast indeed. To give figures, if it
enters the small end of a De Laval nozzle at 200 lbs. per square inch,
it will leave the big end at a velocity of 48 miles per _minute_--that
is, at a speed which would take it right round the world in 8-1/2 hours!
The wheel itself would not move at more than about one-third of this
speed as a maximum.[7] But even so, it may make as many as 30,000
revolutions per minute. A mechanical difficulty is now
encountered--namely, that arising from vibration. No matter how
carefully the turbine wheel may be balanced, it is practically
impossible to make its centre of gravity coincide exactly with the
central point of the shaft; in other words, the wheel will be a
bit--perhaps only a tiny fraction of an ounce--heavier on one side than
the other. This want of truth causes vibration, which, at the high speed
mentioned, would cause the shaft to knock the bearings in which it
revolves to pieces, if--and this is the point--those bearings were close
to the wheel M. de Laval mounted the wheel on a shaft long enough
between the bearings to "whip," or bend a little, and the difficulty was
surmounted.
The normal speed of the turbine wheel is too high for direct driving of
some machinery, so it is reduced by means of gearing. To dynamos, pumps,
and air-fans it is often coupled direct.
THE PARSONS TURBINE.
At the grand naval review held in 1897 in honour of Queen Victoria's
diamond jubilee, one of the most noteworthy sights was the little
_Turbinia_ of 44-1/2 tons burthen, which darted about among the floating
forts at a speed much surpassing that of the fastest "destroyer." Inside
the nimble little craft were engines developing 2,000 horse power,
without any of the clank and vibration which usually reigns in the
engine-room of a high-speed vessel. The _Turbinia_ was the first
turbine-driven boat, and as such, even apart from her extraordinary
pace, she attracted great attention. Since 1897 the Parsons turbine has
been installed on many ships, including several men-of-war, and it seems
probable that the time is not far distant when reciprocating engines
will be abandoned on all high-speed craft.
DESCRIPTION OF THE PARSONS TURBINE.
[Illustration: FIG. 37.--Section of a Parsons turbine.]
The essential parts of a Parsons turbine are:--(1) The shaft, on which
is mounted (2) the drum; (3) the cylindrical casing inside which the
drum revolves; (4) the vanes on the drum and casing; (5) the balance
pistons. Fig. 37 shows a diagrammatic turbine in section. The drum, it
will be noticed, increases its diameter in three stages, D^1, D^2,
D^3, towards the right. From end to end it is studded with little
vanes, M M, set in parallel rings small distances apart. Each vane has a
curved section (see Fig. 38), the hollow side facing towards the left.
The vanes stick out from the drum like short spokes, and their outer
ends almost touch the casing. To the latter are attached equally-spaced
rings of fixed vanes, F F, pointing inwards towards the drum, and
occupying the intervals between the rings of moving vanes. Their concave
sides also face towards the left, but, as seen in Fig. 38, their line of
curve lies the reverse way to that of M M. Steam enters the casing at A,
and at once rushes through the vanes towards the outlet at B. It meets
the first row of fixed vanes, and has its path so deflected that it
strikes the ring of moving (or drum) vanes at the most effective angle,
and pushes them round. It then has its direction changed by the ring of
F F, so that it may treat the next row of M M in a similar fashion.
[Illustration: FIG. 38.--Blades or vanes of a Parsons turbine.]
[Illustration: One of the low-pressure turbines of the _Carmania_, in
casing. Its size will be inferred from comparison with the man standing
near the end of the casing.]
THE EXPANSIVE ACTION OF STEAM IN A TURBINE.
On reaching the end of D^1 it enters the second, or intermediate, set
of vanes. The drum here is of a greater diameter, and the blades are
longer and set somewhat farther apart, to give a freer passage to the
now partly expanded steam, which has lost pressure but gained velocity.
The process of movement is repeated through this stage; and again in
D^3, the low-pressure drum. The steam then escapes to the condenser
through B, having by this time expanded very many times; and it is found
advisable, for reasons explained in connection with compound
steam-engines, to have a separate turbine in an independent casing for
the extreme stages of expansion.
The vanes are made of brass. In the turbines of the _Carmania_, the huge
Cunard liner, 1,115,000 vanes are used. The largest diameter of the
drums is 11 feet, and each low-pressure turbine weighs 350 tons.
BALANCING OF THRUST.
The push exerted by the steam on the blades not only turns the drum, but
presses it in the direction in which the steam flows. This end thrust is
counterbalanced by means of the "dummy" pistons, P^1, P^2, P^3.
Each dummy consists of a number of discs revolving between rings
projecting from the casing, the distance between discs and rings being
so small that but little steam can pass. In the high-pressure
compartment the steam pushes P^1 to the left with the same pressure as
it pushes the blades of D^1 to the right. After completing the first
stage it fills the passage C, which communicates with the second piston,
P^2, and the pressure on that piston negatives the thrust on D^2.
Similarly, the passage E causes the steam to press equally on P^3 and
the vanes of D^3. So that the bearings in which the shaft revolves
have but little thrust to take. This form of compensation is necessary
in marine as well as in stationary turbines. In the former the dummy
pistons are so proportioned that the forward thrust given by them and
the screw combined is almost equal to the thrust aft of the moving
vanes.
[Illustration: One of the turbine drums of the _Carmania_. Note the
rows of vanes. The drum is here being tested for perfect balance on two
absolutely level supports.]
ADVANTAGES OF THE MARINE TURBINE.
(1.) Absence of vibration. Reciprocating engines, however well balanced,
cause a shaking of the whole ship which is very unpleasant to
passengers. The turbine, on the other hand, being almost perfectly
balanced, runs so smoothly at the highest speeds that, if the hand be
laid on the covering, it is sometimes almost impossible to tell whether
the machinery is in motion. As a consequence of this smooth running
there is little noise in the engine-room--a pleasant contrast to the
deafening roar of reciprocating engines. (2.) Turbines occupy less room.
(3.) They are more easily tended. (4.) They require fewer repairs, since
the rubbing surfaces are very small as compared to those of
reciprocating engines. (5.) They are more economical at high speeds. It
must be remembered that a turbine is essentially meant for high speeds.
If run slowly, the steam will escape through the many passages without
doing much work.
Owing to its construction, a turbine cannot be reversed like a cylinder
engine. It therefore becomes necessary to fit special astern turbines to
one or more of the screw shafts, for use when the ship has to be stopped
or moved astern. Under ordinary conditions these turbines revolve idly
in their cases.
The highest speed ever attained on the sea was the forty-two miles per
hour of the unfortunate _Viper_, a turbine destroyer which developed
11,500 horse power, though displacing only 370 tons. This velocity would
compare favourably with that of a good many expresses on certain
railways that we could name. In the future thirty miles an hour will
certainly be attained by turbine-driven liners.
[7] Even at this speed the wheel has a circumferential velocity of
two-thirds that of a bullet shot from a Lee-Metford rifle. A vane
weighing only 250 grains (about 1/2 oz.) exerts under these conditions a
centrifugal pull of 15 cwt. on the wheel!
Chapter IV.
THE INTERNAL-COMBUSTION ENGINE.
The meaning of the term--Action of the internal-combustion
engine--The motor car--The starting-handle--The engine--The
carburetter--Ignition of the charge--Advancing the spark--Governing
the engine--The clutch--The gear-box--The compensating gear--The
silencer--The brakes--Speed of cars.
THE MEANING OF THE TERM "INTERNAL-COMBUSTION ENGINE."
In the case of a steam-boiler the energy of combustion is transmitted to
water inside an air-tight vessel. The fuel does not actually touch the
"working fluid." In the gas or oil engine the fuel is brought into
contact and mixed with the working fluid, which is air. It combines
suddenly with it in the cylinder, and heat energy is developed so
rapidly that the act is called an explosion. Coal gas, mineral oils,
alcohol, petrol, etc., all contain hydrogen and carbon. If air, which
contributes oxygen, be added to any of these in due proportion, the
mixture becomes highly explosive. On a light being applied, oxygen and
carbon unite, also hydrogen and oxygen, and violent heat is generated,
causing a violent molecular bombardment of the sides of the vessel
containing the mixture. Now, if the mixture be _compressed_ it becomes
hotter and hotter, until a point is reached at which it ignites
spontaneously. Early gas-engines did not compress the charge before
ignition. Alphonse Beau de Rochas, a Frenchman, first thought of making
the piston of the engine squeeze the mixture before ignition; and from
the year 1862, when he proposed this innovation, the success of the
internal-combustion engine may be said to date.
[Illustration]
[Illustration: FIG. 39.--Showing the four strokes that the piston of a
gas-engine makes during one "cycle."]
ACTION OF THE ENGINE.
The gas-engine, the oil-engine, and the motor-car engine are similar in
general principles. The cylinder has, instead of a slide-valve, two, or
sometimes three, "mushroom" valves, which may be described as small and
thick round plates, with bevelled edges, mounted on the ends of short
rods, called stems. These valves open into the cylinder, upwards,
downwards, or horizontally, as the case may be; being pushed in by cams
projecting from a shaft rotated by the engine. For the present we will
confine our attention to the series of operations which causes the
engine to work. This series is called the Beau de Rochas, or Otto,
cycle, and includes four movements of the piston. Reference to Fig. 39
will show exactly what happens in a gas-engine--(1) The piston moves
from left to right, and just as the movement commences valves G (gas)
and A (air) open to admit the explosive mixture. By the time that P has
reached the end of its travel these valves have closed again. (2) The
piston returns to the left, compressing the mixture, which has no way of
escape open to it. At the end of the stroke the charge is ignited by an
incandescent tube I (in motor car and some stationary engines by an
electric spark), and (3) the piston flies out again on the "explosion"
stroke. Before it reaches the limit position, valve E (exhaust) opens,
and (4) the piston flies back under the momentum of the fly-wheel,
driving out the burnt gases through the still open E. The "cycle" is now
complete. There has been suction, compression (including ignition),
combustion, and exhaustion. It is evident that a heavy fly-wheel must be
attached to the crank shaft, because the energy of one stroke (the
explosion) has to serve for the whole cycle; in other words, for two
complete revolutions of the crank. A single-cylinder steam-engine
develops an impulse every half-turn--that is, four times as often. In
order to get a more constant turning effect, motor cars have two, three,
four, six, and even eight cylinders. Four-cylinder engines are at
present the most popular type for powerful cars.
THE MOTOR CAR.
[Illustration: FIG. 40.--Plan of the chassis of a motor car.]
We will now proceed to an examination of the motor car, which, in
addition to mechanical apparatus for the transmission of motion to the
driving-wheels, includes all the fundamental adjuncts of the
internal-combustion engine.[8] Fig. 40 is a bird's-eye view of the
_chassis_ (or "works" and wheels) of a car, from which the body has been
removed. Starting at the left, we have the handle for setting the
engine in motion; the engine (a two-cylinder in this case); the
fly-wheel, inside which is the clutch; the gear-box, containing the cogs
for altering the speed of revolution of the driving-wheels relatively to
that of the engine; the propeller shaft; the silencer, for deadening the
noise of the exhaust; and the bevel-gear, for turning the
driving-wheels. In the particular type of car here considered you will
notice that a "direct," or shaft, drive is used. The shaft has at each
end a flexible, or "universal," joint, which allows the shaft to turn
freely, even though it may not be in a line with the shaft projecting
from the gear-box. It must be remembered that the engine and gear-box
are mounted on the frame, between which and the axles are springs, so
that when the car bumps up and down, the shaft describes part of a
circle, of which the gear-box end is the centre.
An alternative method of driving is by means of chains, which run round
sprocket (cog) wheels on the ends of a shaft crossing the frame just
behind the gear-box, and round larger sprockets attached to the hubs of
the driving-wheels. In such a case the axles of the driving-wheel are
fixed to the springs, and the wheels revolve round them. Where a Cardan
(shaft) drive is used the axles are attached rigidly to the wheels at
one end, and extend, through tubes fixed to the springs, to bevel-wheels
in a central compensating-gear box (of which more presently).
Several parts--the carburetter, tanks, governor, and pump--are not shown
in the general plan. These will be referred to in the more detailed
account that follows.
THE STARTING-HANDLE.
[Illustration: FIG. 41.--The starting-handle.]
Fig. 41 gives the starting-handle in part section. The handle H is
attached to a tube which terminates in a clutch, C. A powerful spring
keeps C normally apart from a second clutch, C^1, keyed to the engine
shaft. When the driver wishes to start the engine he presses the handle
towards the right, brings the clutches together, and turns the handle in
a clockwise direction. As soon as the engine begins to fire, the faces
of the clutches slip over one another.
THE ENGINE.
[Illustration: FIG. 42.--End and cross sections of a two-cylinder
motor.]
We next examine the two-cylinder engine (Fig. 42). Each cylinder is
surrounded by a water-jacket, through which water is circulated by a
pump[9] (Fig. 43). The heat generated by combustion is so great that the
walls of the cylinder would soon become red-hot unless some of the heat
were quickly carried away. The pistons are of "trunk" form--that is,
long enough to act as guides and absorb the oblique thrust of the piston
rods. Three or more piston rings lying in slots (not shown) prevent the
escape of gas past the piston. It is interesting to notice that the
efficiency of an internal-combustion engine depends so largely on the
good fit of these moving parts, that cylinders, pistons, and rings must
be exceedingly true. A good firm will turn out standard parts which are
well within 1/5000 of an inch of perfect truth. It is also a wonderful
testimony to the quality of the materials used that, if properly looked
after, an engine which has made many millions of revolutions, at the
rate of 1,000 to 2,000 per minute, often shows no appreciable signs of
wear. In one particular test an engine was run _continuously for several
months_, and at the end of the trial was in absolutely perfect
condition.
The cranks revolve in an oil-tight case (generally made of aluminium),
and dip in oil, which they splash up into the cylinder to keep the
piston well lubricated. The plate, P P, through a slot in which the
piston rod works, prevents an excess of oil being flung up. Channels are
provided for leading oil into the bearings. The cranks are 180 deg. apart.
While one piston is being driven out by an explosion, the other is
compressing its charge prior to ignition, so that the one action deadens
the other. Therefore two explosions occur in one revolution of the
cranks, and none during the next revolution. If both cranks were in
line, the pistons would move together, giving one explosion each
revolution.
[Illustration: FIG. 43.--Showing how the water which cools the cylinders
is circulated.]
The valve seats, and the inlet and exhaust pipes, are seen in section.
The inlet valve here works automatically, being pulled in by suction;
but on many engines--on all powerful engines--the inlet, like the
exhaust valve, is lifted by a cam, lest it should stick or work
irregularly. Three dotted circles show A, a cog on the crank shaft; B, a
"lay" cog, which transmits motion to C, on a short shaft rotating the
cam that lifts the exhaust valve. C, having twice as many teeth as A,
revolves at half its rate. This ensures that the valve shall be lifted
only once in two revolutions of the crank shaft to which it is geared.
The cogs are timed, or arranged, so that the cam begins to lift the
valve when the piston has made about seven-eighths of its explosion
stroke, and closes the valve at the end of the exhaust stroke.
THE CARBURETTER.
A motor car generally uses petrol as its fuel. Petrol is one of the more
volatile products of petroleum, and has a specific gravity of about
680--that is, volume for volume, its weight is to that of water in the
proportion of 680 to 1,000. It is extremely dangerous, as it gives off
an inflammable gas at ordinary temperatures. Benzine, which we use to
clean clothes, is practically the same as petrol, and should be treated
with equal care. The function of a _carburetter_ is to reduce petrol to
a very fine spray and mix it with a due quantity of air. The device
consists of two main parts (Fig. 44)--the _float chamber_ and the _jet
chamber_. In the former is a contrivance for regulating the petrol
supply. A float--a cork, or air-tight metal box--is arranged to move
freely up and down the stem of a needle-valve, which closes the inlet
from the tank. At the bottom of the chamber are two pivoted levers, W W,
which, when the float rests on them, tip up and lift the valve. Petrol
flows in and raises the float. This allows the valve to sink and cut off
the supply. If the valve is a good fit and the float is of the correct
weight, the petrol will never rise higher than the tip of the jet G.
[Illustration: FIG. 44.--Section of a carburetter.]
The suction of the engine makes petrol spirt through the jet (which has
a very small hole in its end) and atomize itself against a
spraying-cone, A. It then passes to the engine inlet pipe through a
number of openings, after mixing with air entering from below. An extra
air inlet, controllable by the driver, is generally added, unless the
carburetter be of a type which automatically maintains constant
proportions of air and vapour. The jet chamber is often surrounded by a
jacket, through which part of the hot exhaust gases circulate. In cold
weather especially this is a valuable aid to vaporization.
[Illustration: FIG. 45.--Sketch of the electrical ignition arrangements
on a motor car.]
IGNITION OF THE CHARGE.
All petrol-cars now use electrical ignition. There are two main
systems--(1) by an accumulator and induction coil; (2) _magneto
ignition_, by means of a small dynamo driven by the engine. A general
arrangement of the first is shown in Fig. 45. A disc, D, of some
insulating material--fibre or vulcanite--is mounted on the cam, or
half-speed, shaft. Into the circumference is let a piece of brass,
called the contact-piece, through which a screw passes to the cam shaft.
A movable plate, M P, which can be rotated concentrically with D through
part of a circle, carries a "wipe" block at the end of a spring, which
presses it against D. The spring itself is attached to an insulated
plate. When the revolution of D brings the wipe and contact together,
current flows from the accumulator through switch S to the wipe; through
the contact-piece to C; from C to M P and the induction coil; and back
to the accumulator. This is the _primary, or low-tension, circuit_. A
_high-tension_ current is induced by the coil in the _secondary_
circuit, indicated by dotted lines.[10] In this circuit is the
sparking-plug (see Fig. 46), having a central insulated rod in
connection with one terminal of the secondary coil. Between it and a
bent wire projecting from the iron casing of the plug (in contact with
the other terminal of the secondary coil through the metal of the
engine, to which one wire of the circuit is attached) is a small gap,
across which the secondary current leaps when the primary current is
broken by the wipe and contact parting company. The spark is intensely
hot, and suffices to ignite the compressed charge in the cylinder.
[Illustration: FIG. 46.--Section of a sparking-plug.]
ADVANCING THE SPARK.
We will assume that the position of W (in Fig. 45) is such that the
contact touches W at the moment when the piston has just completed the
compression stroke. Now, the actual combustion of the charge occupies
an appreciable time, and with the engine running at high speed the
piston would have travelled some way down the cylinder before the full
force of the explosion was developed. But by raising lever L, the
position of W may be so altered that contact is made slightly _before_
the compression stroke is complete, so that the charge is fairly alight
by the time the piston has altered its direction. This is called
_advancing_ the spark.
GOVERNING THE ENGINE.
There are several methods of controlling the speed of
internal-combustion engines. The operating mechanism in most cases is a
centrifugal ball-governor. When the speed has reached the fixed limit it
either (1) raises the exhaust valve, so that no fresh charges are drawn
in; (2) prevents the opening of the inlet valve; or (3) throttles the
gas supply. The last is now most commonly used on motor cars, in
conjunction with some device for putting it out of action when the
driver wishes to exceed the highest speed that it normally permits.
[Illustration: FIG. 47.--One form of governor used on motor cars.]
A sketch of a neat governor, with regulating attachment, is given in
Fig. 47. The governor shaft is driven from the engine. As the balls, B
B, increase their velocity, they fly away from the shaft and move the
arms, A A, and a sliding tube, C, towards the right. This rocks the
lever R, and allows the valves in the inlet pipe to close and reduce the
supply of air and gas. A wedge, W, which can be raised or lowered by
lever L, intervenes between the end of R and the valve stem. If this
lever be lifted to its highest position, the governing commences at a
lower speed, as the valve then has but a short distance to travel before
closing completely. For high speeds the driver depresses L, forces the
wedge down, and so minimizes the effect of the governor.
THE CLUTCH.
The engine shaft has on its rear end the fly-wheel, which has a broad
and heavy rim, turned to a conical shape inside. Close to this,
revolving loosely on the shaft, is the clutch plate, a heavy disc with a
broad edge so shaped as to fit the inside of a fly-wheel. It is
generally faced with leather. A very strong spring presses the plate
into the fly-wheel, and the resulting friction is sufficient to prevent
any slip. Projections on the rear of the clutch engage with the gear-box
shaft. The driver throws out the clutch by depressing a lever with his
foot. Some clutches dispense with the leather lining. These are termed
_metal to metal_ clutches.
THE GEAR-BOX.
We now come to a very interesting detail of the motor car, the gear-box.
The steam-engine has its speed increased by admitting more steam to the
cylinders. But an explosion engine must be run at a high speed to
develop its full power, and when heavier work has to be done on a hill
it becomes necessary to alter the speed ratio of engine to
driving-wheels. Our illustration (Fig. 48) gives a section of a
gear-box, which will serve as a typical example. It provides three
forward speeds and one reverse. To understand how it works, we must
study the illustration carefully. Pinion 1 is mounted on a hollow shaft
turned by the clutch. Into the hollow shaft projects the end of another
shaft carrying pinions 6 and 4. Pinion 6 slides up and down this shaft,
which is square at this point, but round inside the _loose_ pinion 4.
Pinions 2 and 3 are keyed to a square secondary shaft, and are
respectively always in gear with 1 and 4; but 5 can be slid backwards
and forwards so as to engage or disengage with 6. In the illustration no
gear is "in." If the engine is working, 1 revolves 2, 2 turns 3, and 3
revolves 4 idly on its shaft.
[Illustration: FIG. 48.--The gear-box of a motor car.]
To get the lowest, or "first," speed the driver moves his lever and
slides 5 into gear with 6. The transmission then is: 1 turns 2, 2 turns
5, 5 turns 6, 6 turns the propeller shaft through the universal joint.
For the second speed, 5 and 6 are disengaged, and 6 is moved up the
page, as it were, till projections on it interlock with slots in 4; thus
driving 1, 2, 3, 4, shaft. For the third, or "solid," speed, 6 is pulled
down into connection with 1, and couples the engine shaft direct to the
propeller shaft.
The "reverse" is accomplished by raising a long pinion, 7, which lies in
the gear-box under 5 and 6. The drive then is 1, 2, 5, 7, 6. There being
an odd number of pinions now engaged, the propeller shaft turns in the
reverse direction to that of the engine shaft.
[Illustration: FIG. 49.]
THE COMPENSATING GEAR.
Every axle of a railway train carries a wheel at each end, rigidly
attached to it. When rounding a corner the outside wheel has further to
travel than the other, and consequently one or both wheels must slip.
The curves are made so gentle, however, that the amount of slip is very
small. But with a traction-engine, motor car, or tricycle the case is
different, for all have to describe circles of very small diameter in
proportion to the length of the vehicle. Therefore in every case a
_compensating gear_ is fitted, to allow the wheels to turn at different
speeds, while permitting them both to drive. Fig. 49 is an exaggerated
sketch of the gear. The axles of the moving wheels turn inside tubes
attached to the springs and a central casing (not shown), and terminate
in large bevel-wheels, C and D. Between these are small bevels mounted
on a shaft supported by the driving drum. If the latter be rotated, the
bevels would turn C and D at equal speeds, assuming that both axles
revolve without friction in their bearings. We will suppose that the
drum is turned 50 times a minute. Now, if one wheel be held, the other
will revolve 100 times a minute; or, if one be slowed, the other will
increase its speed by a corresponding amount. The _average_ speed
remains 50. It should be mentioned that drum A has incorporated with it
on the outside a bevel-wheel (not shown) rotated by a smaller bevel on
the end of the propeller shaft.
THE SILENCER.
The petrol-engine, as now used, emits the products of combustion at a
high pressure. If unchecked, they expand violently, and cause a partial
vacuum in the exhaust pipe, into which the air rushes back with such
violence as to cause a loud noise. Devices called _silencers_ are
therefore fitted, to render the escape more gradual, and split it up
among a number of small apertures. The simplest form of silencer is a
cylindrical box, with a number of finely perforated tubes passing from
end to end of it. The exhaust gases pouring into the box maintain a
constant pressure somewhat higher than that of the atmosphere, but as
the gases are escaping from it in a fairly steady stream the noise
becomes a gentle hiss rather than a "pop." There are numerous types of
silencers, but all employ this principle in one form or another.
THE BRAKES.
Every car carries at least two brakes of band pattern--one, usually
worked by a side hand-lever, acting on the axle or hubs of the
driving-wheel; the other, operated by the foot, acting on the
transmission gear (see Fig. 48). The latter brake is generally arranged
to withdraw the clutch simultaneously. Tests have proved that even heavy
cars can be pulled up in astonishingly short distances, considering
their rate of travel. Trials made in the United States with a touring
car and a four-in-hand coach gave 25-1/3 and 70 feet respectively for
the distance in which the speed could be reduced from sixteen miles per
hour to zero.
SPEED OF CARS.
As regards speed, motor cars can rival the fastest express trains, even
on long journeys. In fact, feats performed during the Gordon-Bennett and
other races have equalled railway performances over equal distances.
When we come to record speeds, we find a car, specially built for the
purpose, covering a mile in less than half a minute. A speed of over 120
miles an hour has actually been reached. Engines of 150 h.p. can now be
packed into a vehicle scaling less than 1-1/2 tons. Even on touring cars
are often found engines developing 40 to 60 h.p., which force the car up
steep hills at a pace nothing less than astonishing. In the future the
motor car will revolutionize our modes of life to an extent comparable
to the changes effected by the advent of the steam-engine. Even since
1896, when the "man-with-the-flag" law was abolished in the British
Isles, the motor has reduced distances, opened up country districts, and
generally quickened the pulses of the community in a manner which makes
it hazardous to prophesy how the next generation will live.
_Note._--The author is much indebted to Mr. Wilfrid J. Lineham, M. Inst.
C.E., for several of the illustrations which appear in the above
chapter.
[8] Steam-driven cars are not considered in this chapter, as their
principle is much the same as that of the ordinary locomotive.
[9] On some cars natural circulation is used, the hot water flowing from
the top of the cylinder to the tank, from which it returns, after being
cooled, to the bottom of the cylinder.
[10] For explanation of the induction coil, see p. 122
Chapter V.
ELECTRICAL APPARATUS.
What is electricity?--Forms of electricity--Magnetism--The
permanent magnet--Lines of force--Electro-magnets--The electric
bell--The induction coil--The condenser--Transformation of
current--Uses of the induction coil.
WHAT IS ELECTRICITY?
Of the ultimate nature of electricity, as of that of heat and light, we
are at present ignorant. But it has been clearly established that all
three phenomena are but manifestations of the energy pervading the
universe. By means of suitable apparatus one form can be converted into
another form. The heat of fuel burnt in a boiler furnace develops
mechanical energy in the engine which the boiler feeds with steam. The
engine revolves a dynamo, and the electric current thereby generated can
be passed through wires to produce mechanical motion, heat, or light. We
must remain content, therefore, with assuming that electricity is energy
or motion transmitted through the ether from molecule to molecule, or
from atom to atom, of matter. Scientific investigation has taught us how
to produce it at will, how to harness it to our uses, and how to measure
it; but not _what_ it is. That question may, perhaps, remain unanswered
till the end of human history. A great difficulty attending the
explanation of electrical action is this--that, except in one or two
cases, no comparison can be established between it and the operation of
gases and fluids. When dealing with the steam-engine, any ordinary
intelligence soon grasps the principles which govern the use of steam in
cylinders or turbines. The diagrams show, it is hoped, quite plainly
"how it works." But electricity is elusive, invisible; and the greatest
authorities cannot say what goes on at the poles of a magnet or on the
surface of an electrified body. Even the existence of "negative" and
"positive" electricity is problematical. However, we see the effects,
and we know that if one thing is done another thing happens; so that we
are at least able to use terms which, while convenient, are not at
present controverted by scientific progress.
FORMS OF ELECTRICITY.
Rub a vulcanite rod and hold one end near some tiny pieces of paper.
They fly to it, stick to it for a time, and then fall off. The rod was
electrified--that is, its surface was affected in such a way as to be in
a state of molecular strain which the contact of the paper fragments
alleviated. By rubbing large surfaces and collecting the electricity in
suitable receivers the strain can be made to relieve itself in the form
of a violent discharge accompanied by a bright flash. This form of
electricity is known as _static_.
Next, place a copper plate and a zinc plate into a jar full of diluted
sulphuric acid. If a wire be attached to them a current of electricity
is said to _flow_ along the wire. We must not, however, imagine that
anything actually moves along inside the wire, as water, steam, or air,
passes through a pipe. Professor Trowbridge says,[11] "No other agency
for transmitting power can be stopped by such slight obstacles as
electricity. A thin sheet of paper placed across a tube conveying
compressed air would be instantly ruptured. It would take a wall of
steel at least an inch thick to stand the pressure of steam which is
driving a 10,000 horse-power engine. A thin layer of dirt beneath the
wheels of an electric car can prevent the current which propels the car
from passing to the rail, and then back to the power-house." There
would, indeed, be a puncture of the paper if the current had a
sufficient voltage, or pressure; yet the fact remains that _current_
electricity can be very easily confined to its conductor by means of
some insulating or nonconducting envelope.
MAGNETISM.
The most familiar form of electricity is that known as magnetism. When a
bar of steel or iron is magnetized, it is supposed that the molecules in
it turn and arrange themselves with all their north-seeking poles
towards the one end of the bar, and their south-seeking poles towards
the other. If the bar is balanced freely on a pivot, it comes to rest
pointing north and south; for, the earth being a huge magnet, its north
pole attracts all the north-seeking poles of the molecules, and its
south poles the south-seeking poles. (The north-_seeking_ pole of a
magnet is marked N., though it is in reality the _south_ pole; for
unlike poles are mutually attractive, and like poles repellent.)
There are two forms of magnet--_permanent_ and _temporary_. If steel is
magnetized, it remains so; but soft iron loses practically all its
magnetism as soon as the cause of magnetization is withdrawn. This is
what we should expect; for steel is more closely compacted than iron,
and the molecules therefore would be able to turn about more easily.[12]
It is fortunate for us that this is so, since on the rapid magnetization
and demagnetization of soft iron depends the action of many of our
electrical mechanisms.
THE PERMANENT MAGNET.
Magnets are either (1) straight, in which case they are called bar
magnets; or (2) of horseshoe form, as in Figs. 50 and 51. By bending the
magnet the two poles are brought close together, and the attraction of
both may be exercised simultaneously on a bar of steel or iron.
LINES OF FORCE.
In Fig. 50 are seen a number of dotted lines. These are called _lines of
magnetic force_. If you lay a sheet of paper on a horseshoe magnet and
sprinkle it with iron dust, you will at once notice how the particles
arrange themselves in curves similar in shape to those shown in the
illustration. It is supposed (it cannot be _proved_) that magnetic force
streams away from the N. pole and describes a circular course through
the air back to the S. pole. The same remark applies to the bar magnet.
ELECTRICAL MAGNETS.
[Illustration: FIG. 50.--Permanent magnet, and the "lines of force"
emanating from it.]
If an insulated wire is wound round and round a steel or iron bar from
end to end, and has its ends connected to the terminals of an electric
battery, current rotates round the bar, and the bar is magnetized. By
increasing the strength and volume of the current, and multiplying the
number of turns of wire, the attractive force of the magnet is
increased. Now disconnect the wires from the battery. If of iron, the
magnet at once loses its attractive force; but if of steel, it retains
it in part. Instead of a simple horseshoe-shaped bar, two shorter bars
riveted into a plate are generally used for electromagnets of this type.
Coils of wire are wound round each bar, and connected so as to form one
continuous whole; but the wire of one coil is wound in the direction
opposite to that of the other. The free end of each goes to a battery
terminal.
In Fig. 51 you will notice that some of the "lines of force" are
deflected through the iron bar A. They pass more easily through iron
than through air; and will choose iron by preference. The attraction
exercised by a magnet on iron may be due to the effort of the lines of
force to shorten their paths. It is evident that the closer A comes to
the poles of the magnet the less will be the distance to be travelled
from one pole to the bar, along it, and back to the other pole.
[Illustration: FIG. 51.--Electro-magnet: A, armature; B, battery.]
Having now considered electricity in three of its forms--static,
current, and rotatory--we will pass to some of its applications.
THE ELECTRIC BELL.
A fit device to begin with is the Electric Bell, which has so largely
replaced wire-pulled bells. These last cause a great deal of trouble
sometimes, since if a wire snaps it may be necessary to take up carpets
and floor-boards to put things right. Their installation is not simple,
for at every corner must be put a crank to alter the direction of the
pull, and the cranks mean increased friction. But when electric wires
have once been properly installed, there should be no need for touching
them for an indefinite period. They can be taken round as many corners
as you wish without losing any of their conductivity, and be placed
wherever is most convenient for examination. One bell may serve a large
number of rooms if an _indicator_ be used to show where the call was
made from, by a card appearing in one of a number of small windows.
Before answering a call, the attendant presses in a button to return the
card to its normal position.
In Fig. 52 we have a diagrammatic view of an electric bell and current.
When the bell-push is pressed in, current flows from the battery to
terminal T^1, round the electro-magnet M, through the pillar P and
flat steel springs S and B, through the platinum-pointed screw, and back
to the battery through the push. The circulation of current magnetizes
M, which attracts the iron armature A attached to the spring S, and
draws the hammer H towards the gong. Just before the stroke occurs, the
spring B leaves the tip of the screw, and the circuit is broken, so that
the magnet no longer attracts. H is carried by its momentum against the
gong, and is withdrawn by the spring, until B once more makes contact,
and the magnet is re-excited. The hammer vibrations recur many times a
second as long as the push is pressed in.
[Illustration: FIG. 52.--Sketch of an electric-bell circuit.]
The electric bell is used for so many purposes that they cannot all be
noted. It plays an especially important part in telephonic installations
to draw the attention of the subscribers, forms an item in automatic
fire and burglar alarms, and is a necessary adjunct of railway
signalling cabins.
THE INDUCTION OR RUHMKORFF COIL.
Reference was made in connection with the electrical ignition of
internal-combustion engines (p. 101) to the _induction coil_. This is a
device for increasing the _voltage_, or pressure, of a current. The
two-cell accumulator carried in a motor car gives a voltage (otherwise
called electro-motive force = E.M.F.) of 4.4 volts. If you attach a wire
to one terminal of the accumulator and brush the loose end rapidly
across the other terminal, you will notice that a bright spark passes
between the wire and the terminal. In reality there are two sparks, one
when they touch, and another when they separate, but they occur so
closely together that the eye cannot separate the two impressions. A
spark of this kind would not be sufficiently hot to ignite a charge in a
motor cylinder, and a spark from the induction coil is therefore used.
[Illustration: FIG. 53.--Sketch of an induction coil.]
We give a sketch of the induction coil in Fig. 53. It consists of a core
of soft iron wires round which is wound a layer of coarse insulated
wire, denoted by the thick line. One end of the winding of this
_primary_ coil is attached to the battery, the other to the base of a
hammer, H, vibrating between the end of the core and a screw, S, passing
through an upright, T, connected with the other terminal of the battery.
The action of the hammer is precisely the same as that of the armature
of an electric bell. Outside the primary coil are wound many turns of a
much finer wire completely insulated from the primary coil. The ends of
this _secondary_ coil are attached to the objects (in the case of a
motor car, the insulated wire of the sparking-plug and a wire projecting
from its outer iron casing) between which a spark has to pass. As soon
as H touches S the circuit is completed. The core becomes a powerful
magnet with external lines of force passing from one pole to the other
over and among the turns of the secondary coil. H is almost
instantaneously attracted by the core, and the break occurs. The lines
of force now (at least so it is supposed) sink into the core, cutting
through the turns of the "secondary," and causing a powerful current to
flow through them. The greater the number of turns, the greater the
number of times the lines of force are cut, and the stronger is the
current. If sufficiently intense, it jumps any gap in the secondary
circuit, heating the intermediate air to a state of incandescence.
THE CONDENSER.
The sudden parting of H and S would produce strong sparking across the
gap between them if it were not for the condenser, which consists of a
number of tinfoil sheets separated by layers of paraffined paper. All
the "odd" sheets are connected with T, all the "even" with T^1. Now,
the more rapid the extinction of magnetism in the core after "break" of
the primary circuit, the more rapidly will the lines of force collapse,
and the more intense will be the induced current in the secondary coil.
The condenser diminishes the period of extinction very greatly, while
lengthening the period of magnetization after the "make" of the primary
current, and so decreasing the strength of the reverse current.
TRANSFORMATION OF CURRENT.
The difference in the voltage of the primary and secondary currents
depends on the length of the windings. If there are 100 turns of wire in
the primary, and 100,000 turns in the secondary, the voltage will be
increased 1,000 times; so that a 4-volt current is "stepped up" to 4,000
volts. In the largest induction coils the secondary winding absorbs
200-300 miles of wire, and the spark given may be anything up to four
feet in length. Such a spark would pierce a glass plate two inches
thick.
It must not be supposed that an induction coil increases the _amount_ of
current given off by a battery. It merely increases its pressure at the
expense of its volume--stores up its energy, as it were, until there is
enough to do what a low-tension flow could not effect. A fair comparison
would be to picture the energy of the low-tension current as the
momentum of a number of small pebbles thrown in succession at a door,
say 100 a minute. If you went on pelting the door for hours you might
make no impression on it, but if you could knead every 100 pebbles into
a single stone, and throw these stones one per minute, you would soon
break the door in.
Any intermittent current can be transformed as regards its intensity.
You may either increase its pressure while decreasing its rate of flow,
or _amperage_; or decrease its pressure and increase its flow. In the
case that we have considered, a continuous battery current is rendered
intermittent by a mechanical contrivance. But if the current comes from
an "alternating" dynamo--that is, is already intermittent--the
contact-breaker is not needed. There will be more to say about
transformation of current in later paragraphs.
USES OF THE INDUCTION COIL.
The induction coil is used--(1.) For passing currents through glass
tubes almost exhausted of air or containing highly rarefied gases. The
luminous effects of these "Geissler" tubes are very beautiful. (2.) For
producing the now famous X or Roentgen rays. These rays accompany the
light rays given off at the negative terminal (cathode) of a vacuum
tube, and are invisible to the eye unless caught on a fluorescent
screen, which reduces their rate of vibration sufficiently for the eye
to be sensitive to them. The Roentgen rays have the peculiar property of
penetrating many substances quite opaque to light, such as metals,
stone, wood, etc., and as a consequence have proved of great use to the
surgeon in localizing or determining the nature of an internal injury.
They also have a deterrent effect upon cancerous growths. (3.) In
wireless telegraphy, to cause powerful electric oscillations in the
ether. (4.) On motor cars, for igniting the cylinder charges. (5.) For
electrical massage of the body.
[11] "What is Electricity?" p. 46.
[12] If a magnetized bar be heated to white heat and tapped with a
hammer it loses its magnetism, because the distance between the
molecules has increased, and the molecules can easily return to their
original positions.
Chapter VI.
THE ELECTRIC TELEGRAPH.
Needle instruments--Influence of current on the magnetic
needle--Method of reversing the current--Sounding
instruments--Telegraphic relays--Recording telegraphs--High-speed
telegraphy.
Take a small pocket compass and wind several turns of fine insulated
wire round the case, over the top and under the bottom. Now lay the
compass on a table, and turn it about until the coil is on a line with
the needle--in fact, covers it. Next touch the terminals of a battery
with the ends of the wire. The needle at once shifts either to right or
left, and remains in that position as long as the current flows. If you
change the wires over, so reversing the direction of the current, the
needle at once points in the other direction. It is to this conduct on
the part of a magnetic needle when in a "magnetic field" that we owe the
existence of the needle telegraph instrument.
NEEDLE INSTRUMENTS.
[Illustration: FIG. 54.--Sketch of the side elevation of a Wheatstone
needle instrument.]
Probably the best-known needle instrument is the Cooke-Wheatstone,
largely used in signal-boxes and in some post-offices. A vertical
section of it is shown in Fig. 54. It consists of a base, B, and an
upright front, A, to the back of which are attached two hollow coils on
either side of a magnetic needle mounted on the same shaft as a second
dial needle, N, outside the front. The wires W W are connected to the
telegraph line and to the commutator, a device which, when the operator
moves the handle H to right and left, keeps reversing the direction of
the current. The needles on both receiving and transmitting instruments
wag in accordance with the movements of the handle. One or more
movements form an alphabetical letter of the Morse code. Thus, if the
needle points first to left, and then to right, and comes to rest in a
normal position for a moment, the letter A is signified;
right-left-left-left in quick succession = B; right-left-right-left = C,
and so on. Where a marking instrument is used, a dot signifies a "left,"
and a dash a right; and if a "sounder" is employed, the operator judges
by the length of the intervals between the clicks.
INFLUENCE OF CURRENT ON A MAGNETIC NEEDLE.
[Illustration: FIGS. 55, 56.--The coils of a needle instrument. The
arrows show the direction taken by the current.]
Figs. 55 and 56 are two views of the coils and magnetic needle of the
Wheatstone instrument as they appear from behind. In Fig. 55 the current
enters the left-hand coil from the left, and travels round and round it
in a clockwise direction to the other end, whence it passes to the other
coil and away to the battery. Now, a coil through which a current passes
becomes a magnet. Its polarity depends on the direction in which the
current flows. Suppose that you are looking through the coil, and that
the current enters it from your end. If the wire is wound in a clockwise
direction, the S. pole will be nearest you; if in an anti-clockwise
direction, the N. pole. In Fig. 55 the N. poles are at the right end of
the coils, the S. poles at the left end; so the N. pole of the needle is
attracted to the right, and the S. pole to the left. When the current is
reversed, as in Fig. 56, the needle moves over. If no current passes, it
remains vertical.
METHOD OF REVERSING THE CURRENT.
[Illustration: FIG. 57.--General arrangement of needle-instrument
circuit. The shaded plates on the left (B and R) are in contact.]
A simple method of changing the direction of the current in a
two-instrument circuit is shown diagrammatically in Fig. 57. The
_principle_ is used in the Wheatstone needle instrument. The battery
terminals at each station are attached to two brass plates, A B, A^1
B^1. Crossing these at right angles (under A A^1 and over B B^1)
are the flat brass springs, L R, L^1 R^1, having buttons at their
lower ends, and fixed at their upper ends to baseboards. When at rest
they all press upwards against the plates A and A^1 respectively. R
and L^1 are connected with the line circuit, in which are the coils of
dials 1 and 2, one at each station. L and R^1 are connected with the
earth-plates E E^1. An operator at station 1 depresses R so as to
touch B. Current now flows from the battery to B, thence through R to
the line circuit, round the coils of both dials through L^1 A^1 and
R to earth-plate E^1, through the earth to E, and then back to the
battery through L and A. The needles assume the position shown. To
reverse the current the operator allows R to rise into contact with A,
and depresses L to touch B. The course can be traced out easily.
In the Wheatstone "drop-handle" instrument (Fig. 54) the commutator may
be described as an insulated core on which are two short lengths of
brass tubing. One of these has rubbing against it a spring connected
with the + terminal of the battery; the other has similar communication
with the - terminal. Projecting from each tube is a spike, and rising
from the baseboard are four upright brass strips not quite touching the
commutator. Those on one side lead to the line circuit, those on the
other to the earth-plate. When the handle is turned one way, the spikes
touch the forward line strip and the rear earth strip, and _vice versa_
when moved in the opposite direction.
SOUNDING INSTRUMENTS.
Sometimes little brass strips are attached to the dial plate of a needle
instrument for the needle to strike against. As these give different
notes, the operator can comprehend the message by ear alone. But the
most widely used sounding instrument is the Morse sounder, named after
its inventor. For this a reversible current is not needed. The receiver
is merely an electro-magnet (connected with the line circuit and an
earth-plate) which, when a current passes, attracts a little iron bar
attached to the middle of a pivoted lever. The free end of the lever
works between two stops. Every time the circuit is closed by the
transmitting key at the sending station the lever flies down against the
lower stop, to rise again when the circuit is broken. The duration of
its stay decides whether a "long" or "short" is meant.
TELEGRAPHIC RELAYS.
[Illustration: FIG. 58.--Section of a telegraph wire insulator on its
arm. The shaded circle is the line wire, the two blank circles indicate
the wire which ties the line wire to the insulator.]
When an electric current has travelled for a long distance through a
wire its strength is much reduced on account of the resistance of the
wire, and may be insufficient to cause the electro-magnet of the sounder
to move the heavy lever. Instead, therefore, of the current acting
directly on the sounder magnet, it is used to energize a small magnet,
or _relay_, which pulls down a light bar and closes a second "local"
circuit--that is, one at the receiver end--worked by a separate battery,
which has sufficient power to operate the sounder.
RECORDING TELEGRAPHS.
By attaching a small wheel to the end of a Morse-sounder lever, by
arranging an ink-well for the wheel to dip into when the end falls, and
by moving a paper ribbon slowly along for the wheel to press against
when it rises, a self-recording Morse inker is produced. The
ribbon-feeding apparatus is set in motion automatically by the current,
and continues to pull the ribbon along until the message is completed.
The Hughes type-printer covers a sheet of paper with printed characters
in bold Roman type. The transmitter has a keyboard, on which are marked
letters, signs, and numbers; also a type-wheel, with the characters on
its circumference, rotated by electricity. The receiver contains
mechanisms for rotating another type-wheel synchronously--that is, in
time--with the first; for shifting the wheel across the paper; for
pressing the paper against the wheel; and for moving the paper when a
fresh line is needed. These are too complicated to be described here in
detail. By means of relays one transmitter may be made to work five
hundred receivers. In London a single operator, controlling a keyboard
in the central dispatching office, causes typewritten messages to spell
themselves out simultaneously in machines distributed all over the
metropolis.
The tape machine resembles that just described in many details. The main
difference is that it prints on a continuous ribbon instead of on
sheets.
Automatic electric printers of some kind or other are to be found in
the vestibules of all the principal hotels and clubs of our large
cities, and in the offices of bankers, stockbrokers, and newspaper
editors. In London alone over 500 million words are printed by the
receivers in a year.
HIGH-SPEED TELEGRAPHY.
At certain seasons, or when important political events are taking place,
the telegraph service would become congested with news were there not
some means of transmitting messages at a much greater speed than is
possible by hand signalling. Fifty words a minute is about the limit
speed that a good operator can maintain. By means of Wheatstone's
_automatic transmitter_ the rate can be increased to 400 words per
minute. Paper ribbons are punched in special machines by a number of
clerks with a series of holes which by their position indicate a dot or
a dash. The ribbons are passed through a special transmitter, over
little electric brushes, which make contact through the holes with
surfaces connected to the line circuit. At the receiver end the message
is printed by a Morse inker.
It has been found possible to send several messages simultaneously over
a single line. To effect this a _distributer_ is used to put a number of
transmitters at one end of the line in communication with an equal
number of receivers at the other end, fed by a second distributer
keeping perfect time with the first. Instead of a signal coming as a
whole to any one instrument it arrives in little bits, but these follow
one another so closely as to be practically continuous. By working a
number of automatic transmitters through a distributer, a thousand words
or more per minute are easily dispatched over a single wire.
The Pollak Virag system employs a punched ribbon, and the receiver
traces out the message in alphabetical characters on a moving strip of
sensitized photographic paper. A mirror attached to a vibrating
diaphragm reflects light from a lamp on to the strip, which is
automatically developed and fixed in chemical baths. The method of
moving the mirror so as to make the rays trace out words is extremely
ingenious. Messages have been transmitted by this system at the rate of
180,000 words per hour.
Chapter VII.
WIRELESS TELEGRAPHY.
The transmitting apparatus--The receiving apparatus--Syntonic
transmission--The advance of wireless telegraphy.
In our last chapter we reviewed briefly some systems of sending
telegraphic messages from one point of the earth's surface to another
through a circuit consisting partly of an insulated wire and partly of
the earth itself. The metallic portion of a long circuit, especially if
it be a submarine cable, is costly to install, so that in quite the
early days of telegraphy efforts were made to use the ether in the place
of wire as one conductor.
When a hammer strikes an anvil the air around is violently disturbed.
This disturbance spreads through the molecules of the air in much the
same way as ripples spread from the splash of a stone thrown into a
pond. When the sound waves reach the ear they agitate the tympanum, or
drum membrane, and we "hear a noise." The hammer is here the
transmitter, the air the conductor, the ear the receiver.
In wireless telegraphy we use the ether as the conductor of electrical
disturbances.[13] Marconi, Slaby, Branly, Lodge, De Forest, Popoff, and
others have invented apparatus for causing disturbances of the requisite
kind, and for detecting their presence.
The main features of a wireless telegraphy outfit are shown in Figs. 59
and 61.
THE TRANSMITTER APPARATUS.
We will first consider the transmitting outfit (Fig. 59). It includes a
battery, dispatching key, and an induction coil having its secondary
circuit terminals connected with two wires, the one leading to an
earth-plate, the other carried aloft on poles or suspended from a kite.
In the large station at Poldhu, Cornwall, for transatlantic signalling,
there are special wooden towers 215 feet high, between which the aerial
wires hang. At their upper and lower ends respectively the earth and
aerial wires terminate in brass balls separated by a gap. When the
operator depresses the key the induction coil charges these balls and
the wires attached thereto with high-tension electricity. As soon as the
quantity collected exceeds the resistance of the air-gap, a discharge
takes place between the balls, and the ether round the aerial wire is
violently disturbed, and waves of electrical energy are propagated
through it. The rapidity with which the discharges follow one another,
and their travelling power, depends on the strength of the induction
coil, the length of the air-gap, and the capacity of the wires.[14]
[Illustration: FIG. 59.--Sketch of the transmitter of a wireless
telegraphy outfit.]
[Illustration: FIG. 60.--A Marconi coherer.]
RECEIVING APPARATUS.
The human body is quite insensitive to these etheric waves. We cannot
feel, hear, or see them. But at the receiving station there is what may
be called an "electric eye." Technically it is named a _coherer_. A
Marconi coherer is seen in Fig. 60. Inside a small glass tube exhausted
of air are two silver plugs, P P, carrying terminals, T T, projecting
through the glass at both ends. A small gap separates the plugs at the
centre, and this gap is partly filled with nickel-silver powder. If the
terminals of the coherer are attached to those of a battery, practically
no current will pass under ordinary conditions, as the particles of
nickel-silver touch each other very lightly and make a "bad contact."
But if the coherer is also attached to wires leading into the earth and
air, and ether waves strike those wires, at every impact the particles
will cohere--that is, pack tightly together--and allow battery current
to pass. The property of cohesion of small conductive bodies when
influenced by Hertzian waves was first noticed in 1874 by Professor D.E.
Hughes while experimenting with a telephone.
[Illustration: FIG. 61.--Sketch of the receiving apparatus in a
wireless telegraphy outfit.]
We are now in a position to examine the apparatus of which a coherer
forms part (Fig. 61). First, we notice the aerial and earth wires, to
which are attached other wires from battery A. This battery circuit
passes round the relay magnet R and through two choking coils, whose
function is to prevent the Hertzian waves entering the battery. The
relay, when energized, brings contact D against E and closes the circuit
of battery B, which is much more powerful than battery A, and operates
the magnet M as well as the _tapper_, which is practically an electric
bell minus the gong. (The tapper circuit is indicated by the dotted
lines.)
We will suppose the transmitter of a distant station to be at work. The
electric waves strike the aerial wire of the receiving station, and
cause the coherer to cohere and pass current. The relay is closed, and
both tapper and Morse inker begin to work. The tapper keeps striking the
coherer and shakes the particles loose after every cohesion. If this
were not done the current of A would pass continuously after cohesion
had once taken place. When the key of the transmitter is pressed down,
the waves follow one another very quickly, and the acquired conductivity
of the coherer is only momentarily destroyed by the tap of the hammer.
During the impression of a dot by the Morse inker, contact is made and
broken repeatedly; but as the armature of the inker is heavy and slow to
move it does not vibrate in time with the relay and tapper. Therefore
the Morse instrument reproduces in dots and dashes the short and long
depressions of the key at the transmitting station, while the tapper
works rapidly in time with the relay. The Morse inker is shown
diagrammatically. While current passes through M the armature is pulled
towards it, the end P, carrying an inked wheel, rises, and a mark is
made on the tape W, which is moved continuously being drawn forward off
reel R by the clockwork--or electrically-driven rollers R^1 R^2.
SYNTONIC TRANSMISSION.
If a number of transmitting stations are sending out messages
simultaneously, a jumble of signals would affect all the receivers
round, unless some method were employed for rendering a receiver
sensitive only to the waves intended to influence it. Also, if
distinction were impossible, even with one transmitter in action its
message might go to undesired stations.
There are various ways of "tuning" receivers and transmitters, but the
principle underlying them all is analogous to that of mechanical
vibration. If a weight is suspended from the end of a spiral spring, and
given an upward blow, it bobs up and down a certain number of times per
minute, every movement from start to finish having exactly the same
duration as the rest. The resistance of the air and the internal
friction of the spring gradually lessen the amplitude of the movements,
and the weight finally comes to rest. Suppose that the weight scales 30
lbs., and that it naturally bobs twenty times a minute. If you now take
a feather and give it a push every three seconds you can coax it into
vigorous motion, assuming that every push catches it exactly on the
rebound. The same effect would be produced more slowly if 6 or 9 second
intervals were substituted. But if you strike it at 4, 5, or 7 second
intervals it will gradually cease to oscillate, as the effect of one
blow neutralizes that of another. The same phenomenon is witnessed when
two tuning-forks of equal pitch are mounted near one another, and one is
struck. The other soon picks up the note. But a fork of unequal pitch
would remain dumb.
Now, every electrical circuit has a "natural period of oscillation" in
which its electric charge vibrates. It is found possible to "tune," or
"syntonize," the aerial rod or wire of a receiving station with a
transmitter. A vertical wire about 200 feet in length, says Professor
J.A. Fleming,[15] has a natural time period of electrical oscillation of
about one-millionth of a second. Therefore if waves strike this wire a
million times a second they will reinforce one another and influence the
coherer; whereas a less or greater frequency will leave it practically
unaffected. By adjusting the receiving circuit to the transmitter, or
_vice versa_, selective wireless telegraphy becomes possible.
ADVANCE OF WIRELESS TELEGRAPHY.
The history of wireless telegraphy may be summed up as follows:--
1842.--Professor Morse sent aerial messages across the Susquehanna
River. A line containing a battery and transmitter was carried on posts
along one bank and "earthed" in the river at each end. On the other bank
was a second wire attached to a receiver and similarly earthed. Whenever
contact was made and broken on the battery side, the receiver on the
other was affected. Distance about 1 mile.
1859.--James Bowman Lindsay transmitted messages across the Tay at
Glencarse in a somewhat similar way. Distance about 1/2 mile.
1885.--Sir William Preece signalled from Lavernock Point, near Cardiff,
to Steep Holm, an island in the Bristol Channel. Distance about 5-1/2
miles.
In all these electrical _induction_ of current was employed.
1886.--Hertzian waves discovered.
1895.--Professor A. Popoff sent Hertzian wave messages over a distance
of 3 miles.
1897.--Marconi signalled from the Needles Hotel, Isle of Wight, to
Swanage; 17-1/2 miles.
1901.--Messages sent at sea for 380 miles.
1901, Dec. 17.--Messages transmitted from Poldhu, Cornwall, to Hospital
Point, Newfoundland; 2,099 miles.
Mr. Marconi has so perfected tuning devices that his transatlantic
messages do not affect receivers placed on board ships crossing the
ocean, unless they are purposely tuned. Atlantic liners now publish
daily small newspapers containing the latest news, flashed through space
from land stations. In the United States the De Forest and Fessenden
systems are being rapidly extended to embrace the most out-of-the-way
districts. Every navy of importance has adopted wireless telegraphy,
which, as was proved during the Russo-Japanese War, can be of the
greatest help in directing operations.
[13] Named after their first discoverer, Dr. Hertz of Carlsruhe,
"Hertzian waves."
[14] For long-distance transmission powerful dynamos take the place of
the induction coil and battery.
[15] "Technics," vol. ii. p. 566.
Chapter VIII.
THE TELEPHONE.
The Bell telephone--The Edison transmitter--The granular carbon
transmitter--General arrangement of a telephone
circuit--Double-line circuits--Telephone exchanges--Submarine
telephony.
For the purposes of everyday life the telephone is even more useful than
the telegraph. Telephones now connect one room of a building with
another, house with house, town with town, country with country. An
infinitely greater number of words pass over the telephonic circuits of
the world in a year than are transmitted by telegraph operators. The
telephone has become an important adjunct to the transaction of business
of all sorts. Its wires penetrate everywhere. Without moving from his
desk, the London citizen may hold easy converse with a Parisian, a New
Yorker with a dweller in Chicago.
Wonderful as the transmission of signals over great distances is, the
transmission of human speech so clearly that individual voices may be
distinguished hundreds of miles away is even more so. Yet the instrument
which works the miracle is essentially simple in its principles.
THE BELL TELEPHONE.
[Illustration: FIG. 62.--Section of a Bell telephone.]
The first telephone that came into general use was that of Bell, shown
in Fig. 62. In a central hole of an ebonite casing is fixed a permanent
magnet, M. The casing expands at one end to accommodate a coil of
insulated wire wound about one extremity of a magnet. The coil ends are
attached to wires passing through small channels to terminals at the
rear. A circular diaphragm, D, of very thin iron plate, clamped between
the concave mouthpiece and the casing, almost touches the end of the
magnet.
We will suppose that two Bell telephones, A and B, are connected up by
wires, so that the wires and the coils form a complete circuit. Words
are spoken into A. The air vibrations, passing through the central hole
in the cover, make the diaphragm vibrate towards and away from the
magnet. The distances through which the diaphragm moves have been
measured, and found not to exceed in some cases more than 1/10,000,000
of an inch! Its movements distort the shape of the "lines of force" (see
p. 118) emanating from the magnet, and these, cutting through the turns
of the coil, induce a current in the line circuit. As the diaphragm
approaches the magnet a circuit is sent in one direction; as it leaves
it, in the other. Consequently speech produces rapidly alternating
currents in the circuit, their duration and intensity depending on the
nature of the sound.
Now consider telephone B. The currents passing through its coil increase
or diminish the magnetism of the magnet, and cause it to attract its
diaphragm with varying force. The vibration of the diaphragm disturbs
the air in exact accordance with the vibrations of A's diaphragm, and
speech is reproduced.
THE EDISON TRANSMITTER.
The Bell telephone may be used both as a transmitter and a receiver, and
the permanent magnetism of the cores renders it independent of an
electric battery. But currents generated by it are so minute that they
cannot overcome the resistance of a long circuit; therefore a battery is
now always used, and with it a special device as transmitter.
If in a circuit containing a telephone and a battery there be a loose
contact, and this be shaken, the varying resistance of the contact will
cause electrical currents of varying force to pass through the circuit.
Edison introduced the first successful _microphone_ transmitter, in
which a small platinum disc connected to the diaphragm pressed with
varying force against a disc of carbon, each disc forming part of the
circuit. Vibrations of the diaphragm caused current to flow in a series
of rapid pulsations.
[Illustration: FIG. 63.--Section of a granular carbon transmitter.]
THE GRANULAR CARBON TRANSMITTER.
In Fig. 63 we have a section of a microphone transmitter now very widely
used. It was invented, in its original form, by an English clergyman
named Hunnings. Resting in a central cavity of an ebonite seating is a
carbon block, C, with a face moulded into a number of pyramidal
projections, P P. The space between C and a carbon diaphragm, D, is
packed with carbon granules, G G. C has direct contact with line
terminal T, which screws into it; D with T^1 through the brass casing,
screw S, and a small plate at the back of the transmitter. Voice
vibrations compress G G, and allow current to pass more freely from D
to C. This form of microphone is very delicate, and unequalled for
long-distance transmission.
[Illustration: FIG. 64.--A diagrammatic representation of a telephonic
circuit.]
GENERAL ARRANGEMENT OF A TELEPHONE CIRCUIT.
In many forms of subscriber's instruments both receiver and transmitter
are mounted on a single handle in such a way as to be conveniently
placed for ear and mouth. For the sake of clearness the diagrammatic
sketch of a complete installation (Fig. 64) shows them separated. The
transmitters, it will be noticed, are located in battery circuits,
including the primary windings P P_2 of induction coils. The
transmitters are in the line circuit, which includes the secondary
windings S S_2 of the coils.
We will assume that the transmitters are, in the first instance, both
hung on the hooks of the metallic switches, which their weight depresses
to the position indicated by the dotted lines. The handle of the
magneto-generator at the left-end station is turned, and current passes
through the closed circuit:--Line A, E B_2, contact 10, the switch 9;
line B, 4, the other switch, contact 5, and E B. Both bells ring. Both
parties now lift their receivers from the switch hooks. The switches
rise against contacts 1, 2, 3 and 6, 7, 8 respectively. Both primary and
both secondary circuits are now completed, while the bells are
disconnected from the line wires. The pulsations set up by transmitter T
in primary coil P are magnified by secondary coil S for transmission
through the line circuit, and affect both receivers. The same thing
happens when T_2 is used. At the end of the conversation the receivers
are hung on their hooks again, and the bell circuit is remade, ready for
the next call.
[Illustration: A TELEPHONE EXCHANGE.]
DOUBLE-LINE CIRCUITS.
The currents used in telephones pulsate very rapidly, but are very
feeble. Electric disturbances caused by the proximity of telegraph or
tram wires would much interfere with them if the earth were used for the
return circuit. It has been found that a complete metallic circuit (two
wires) is practically free from interference, though where a number of
wires are hung on the same poles, speech-sounds may be faintly induced
in one circuit from another. This defect is, however, minimized by
crossing the wires about among themselves, so that any one line does not
pass round the corresponding insulator on every pole.
TELEPHONE EXCHANGES.
In a district where a number of telephones are used the subscribers are
put into connection with one another through an "exchange," to which all
the wires lead. One wire of each subscriber runs to a common "earth;"
the other terminates at a switchboard presided over by an operator. In
an exchange used by many subscribers the terminals are distributed over
a number of switchboards, each containing 80 to 100 terminals, and
attended to by an operator, usually a girl.
When a subscriber wishes to be connected to another subscriber, he
either turns the handle of a magneto generator, which causes a shutter
to fall and expose his number at the exchange, or simply depresses a key
which works a relay at the exchange and lights a tiny electric lamp. The
operator, seeing the signal, connects her telephone with the
subscriber's circuit and asks the number wanted. This given, she rings
up the other subscriber, and connects the two circuits by means of an
insulated wire cord having a spike at each end to fit the "jack" sockets
of the switchboard terminals. The two subscribers are now in
communication.
[Illustration: FIG. 65.--The headdress of an operator at a telephone
exchange. The receiver is fastened over one ear, and the transmitter to
the chest.]
If a number on switchboard A calls for a number on switchboard C, the
operator at A connects her subscriber by a jack cord to a trunk line
running to C, where the operator similarly connects the trunk line with
the number asked for, after ringing up the subscriber. The central
exchange of one town is connected with that of another by one or more
trunk lines, so that a subscriber may speak through an indefinite number
of exchanges. So perfect is the modern telephone that the writer
remembers on one occasion hearing the door-bell ring in a house more
than a hundred miles away, with which he was at the moment in telephonic
connection, though three exchanges were in the circuit.
SUBMARINE TELEPHONY.
Though telegraphic messages are transmitted easily through thousands of
miles of cable,[16] submarine telephony is at present restricted to
comparatively short distances. When a current passes through a cable,
electricity of opposite polarity induced on the outside of the cable
damps the vibration in the conductor. In the Atlantic cable, strong
currents of electricity are poured periodically into one end, and though
much enfeebled when they reach the other they are sufficiently strong to
work a very delicate "mirror galvanometer" (invented by Lord Kelvin),
which moves a reflected ray up and down a screen, the direction of the
movements indicating a dot or a dash. Reversible currents are used in
transmarine telegraphy. The galvanometer is affected like the coils and
small magnet in Wheatstone's needle instrument (p. 128).
Telephonic currents are too feeble to penetrate many miles of cable.
There is telephonic communication between England and France, and
England and Ireland. But transatlantic telephony is still a thing of the
future. It is hoped, however, that by inserting induction coils at
intervals along the cables the currents may be "stepped up" from point
to point, and so get across. Turning to Fig. 64, we may suppose S to be
on shore at the English end, and S_2 to be the _primary_ winding of an
induction coil a hundred miles away in the sea, which magnifies the
enfeebled vibrations for a journey to S_3, where they are again
revived; and so on, till the New World is reached. The difficulty is to
devise induction coils of great power though of small size. Yet science
advances nowadays so fast that we may live to hear words spoken at the
Antipodes.
[16] In 1896 the late Li Hung Chang sent a cablegram from China to
England (12,608 miles), and received a reply, in _seven minutes_.
Chapter IX.
DYNAMOS AND ELECTRIC MOTORS.
A simple dynamo--Continuous-current dynamos--Multipolar
dynamos--Exciting the field magnets--Alternating current
dynamos--The transmission of power--The electric motor--Electric
lighting--The incandescent lamp--Arc lamps--"Series" and "parallel"
arrangement of lamps--Current for electric lamps--Electroplating.
In previous chapters we have incidentally referred to the conversion of
mechanical work into electrical energy. In this we shall examine how it
is done--how the silently spinning dynamo develops power, and why the
motor spins when current is passed through it.
We must begin by returning to our first electrical diagram (Fig. 50),
and calling to mind the invisible "lines of force" which permeate the
ether in the immediate neighbourhood of a magnet's poles, called the
_magnetic field_ of the magnet.
Many years ago (1831) the great Michael Faraday discovered that if a
loop of wire were moved up and down between the poles of an
electro-magnet (Fig. 66) a current was induced in the loop, its
direction depending upon that in which the loop was moved. The energy
required to cut the lines of force passed in some mysterious way into
the wire. Why this is so we cannot say, but, taking advantage of the
fact, electricians have gradually developed the enormous machines which
now send vehicles spinning over metal tracks, light our streets and
houses, and supply energy to innumerable factories.
[Illustration: FIG. 66.]
The strength of the current induced in a circuit cutting the lines of
force of a magnet is called its pressure, voltage, or electro-motive
force (expressed shortly E.M.F.). It may be compared with the
pounds-to-the-square-inch of steam. In order to produce an E.M.F. of one
volt it is calculated that 100,000,000 lines of force must be cut every
second.
The voltage depends on three things:--(1.) The _strength_ of the magnet:
the stronger it is, the greater the number of lines of force coming from
it. (2.) The _length_ of the conductor cutting the lines of force: the
longer it is, the more lines it will cut. (3.) The _speed_ at which the
conductor moves: the faster it travels, the more lines it will cut in a
given time. It follows that a powerful dynamo, or mechanical producer of
current, must have strong magnets and a long conductor; and the latter
must be moved at a high speed across the lines of force.
A SIMPLE DYNAMO.
In Fig. 67 we have the simplest possible form of dynamo--a single turn
of wire, _w x y z_, mounted on a spindle, and having one end attached to
an insulated ring C, the other to an insulated ring C^1. Two small
brushes, B B^1, of wire gauze or carbon, rubbing continuously against
these collecting rings, connect them with a wire which completes the
circuit. The armature, as the revolving coil is called, is mounted
between the poles of a magnet, where the lines of force are thickest.
These lines are _supposed_ to stream from the N. to the S. pole.
In Fig. 67 the armature has reached a position in which _y z_ and _w x_
are cutting no, or very few, lines of force, as they move practically
parallel to the lines. This is called the _zero_ position.
[Illustration: FIG. 67.]
[Illustration: FIG. 68.]
In Fig. 68 the armature, moving at right angles to the lines of force,
cuts a maximum number in a given time, and the current induced in the
coil is therefore now most intense. Here we must stop a moment to
consider how to decide in which direction the current flows. The
armature is revolving in a clockwise direction, and _y z_, therefore, is
moving downwards. Now, suppose that you rest your _left_ hand on the N.
pole of the magnet so that the arm lies in a line with the magnet. Point
your forefinger towards the S. pole. It will indicate the _direction of
the lines of force_. Bend your other three fingers downwards over the
edge of the N. pole. They will indicate the _direction in which the
conductor is moving_ across the magnetic field. Stick out the thumb at
right angles to the forefinger. It points in the direction in which the
_induced_ current is moving through the nearer half of the coil.
Therefore lines of force, conductor, and induced current travel in
planes which, like the top and two adjacent sides of a box, are at right
angles to one another.
While current travels from _z_ to _y_--that is, _from_ the ring C^1 to
_y_--it also travels from _x_ to _w_, because _w x_ rises while _y z_
descends. So that a current circulates through the coil and the exterior
part of the circuit, including the lamp. After _z y_ has passed the
lowest possible point of the circle it begins to ascend, _w x_ to
descend. The direction of the current is therefore reversed; and as the
change is repeated every half-revolution this form of dynamo is called
an _alternator_ or creator of alternating currents. A well-known type of
alternator is the magneto machine which sends shocks through any one who
completes the external circuit by holding the brass handles connected by
wires to the brushes. The faster the handle of the machine is turned the
more frequent is the alternation, and the stronger the current.
[Illustration: FIG. 69.]
CONTINUOUS-CURRENT DYNAMOS.
An alternating current is not so convenient for some purposes as a
continuous current. It is therefore sometimes desirable (even necessary)
to convert the alternating into a uni-directional or continuous current.
How this is done is shown in Figs. 69 and 70. In place of the two
collecting rings C C^1, we now have a single ring split longitudinally
into two portions, one of which is connected to each end of the coil _w
x y z_. In Fig. 69 brush B has just passed the gap on to segment C,
brush B^1 on to segment C^1. For half a revolution these remain
respectively in contact; then, just as _y z_ begins to rise and _w x_ to
descend, the brushes cross the gaps again and exchange segments, so that
the current is perpetually flowing one way through the circuit. The
effect of the commutator[17] is, in fact, equivalent to transposing the
brushes of the collecting rings of the alternator every time the coil
reaches a zero position.
Figs. 71 and 72 give end views in section of the coil and the
commutator, with the coil in the position of minimum and maximum
efficiency. The arrow denotes the direction of movement; the double
dotted lines the commutator end of the revolving coil.
[Illustration: FIG. 70.]
PRACTICAL CONTINUOUS-CURRENT DYNAMOS.
The electrical output of our simple dynamo would be increased if,
instead of a single turn of wire, we used a coil of many turns. A
further improvement would result from mounting on the shaft, inside the
coil, a core or drum of iron, to entice the lines of force within reach
of the revolving coil. It is evident that any lines which pass through
the air outside the circle described by the coil cannot be cut, and are
wasted.
[Illustration: FIG. 71.]
[Illustration: FIG. 72.]
The core is not a solid mass of iron, but built up of a number of very
thin iron discs threaded on the shaft and insulated from one another to
prevent electric eddies, which would interfere with the induced current
in the conductor.[18] Sometimes there are openings through the core from
end to end to ventilate and cool it.
[Illustration: FIG. 73.]
We have already noticed that in the case of a single coil the current
rises and falls in a series of pulsations. Such a form of armature would
be unsuitable for large dynamos, which accordingly have a number of
coils wound over their drums, at equal distances round the
circumference, and a commutator divided into an equal number of
segments. The subject of drum winding is too complicated for brief
treatment, and we must therefore be content with noticing that the coils
are so connected to their respective commutator segments and to one
another that they mutually assist one another. A glance at Fig. 73 will
help to explain this. Here we have in section a number of conductors on
the right of the drum (marked with a cross to show that current is
moving, as it were, into the page), connected with conductors on the
left (marked with a dot to signify current coming out of the page). If
the "crossed" and "dotted" conductors were respectively the "up" and
"down" turns of a single coil terminating in a simple split commutator
(Fig. 69), when the coil had been revolved through an angle of 90 deg.
some of the up turns would be ascending and some descending, so that
conflicting currents would arise. Yet we want to utilize the whole
surface of the drum; and by winding a number of coils in the manner
hinted at, each coil, as it passes the zero point, top or bottom, at
once generates a current in the desired direction and reinforces that in
all the other turns of its own and of other coils on the same side of a
line drawn vertically through the centre. There is thus practically no
fluctuation in the pressure of the current generated.
The action of single and multiple coil windings may be compared to that
of single and multiple pumps. Water is ejected by a single pump in
gulps; whereas the flow from a pipe fed by several pumps arranged to
deliver consecutively is much more constant.
MULTIPOLAR DYNAMOS.
Hitherto we have considered the magnetic field produced by one bi-polar
magnet only. Large dynamos have four, six, eight, or more field magnets
set inside a casing, from which their cores project towards the armature
so as almost to touch it (Fig. 74). The magnet coils are wound to give
N. and S. poles alternately at their armature ends round the field; and
the lines of force from each N. pole stream each way to the two adjacent
S. poles across the path of the armature coils. In dynamos of this kind
several pairs of collecting brushes pick current off the commutator at
equidistant points on its circumference.
[Illustration: FIG. 74.--A Holmes continuous current dynamo: A,
armature; C, commutator; M, field magnets.]
EXCITING THE FIELD MAGNETS.
Until current passes through the field magnet coils, no magnetic field
can be created. How are the coils supplied with current? A dynamo,
starting for the first time, is excited by a current from an outside
source; but when it has once begun to generate current it feeds its
magnets itself, and ever afterwards will be self-exciting,[19] owing to
the residual magnetism left in the magnet cores.
[Illustration: FIG. 75.--Partly finished commutator.]
Look carefully at Figs. 77 and 78. In the first of these you will
observe that part of the wire forming the external circuit is wound
round the arms of the field magnet. This is called a _series_ winding.
In this case _all_ the current generated helps to excite the dynamo. At
the start the residual magnetism of the magnet cores gives a weak field.
The armature coils cut this and pass a current through the circuit. The
magnets are further excited, and the field becomes stronger; and so on
till the dynamo is developing full power. Series winding is used where
the current in the external circuit is required to be very constant.
[Illustration: FIG. 76.--The brushes of a Holmes dynamo.]
Fig. 78 shows another method of winding--the _shunt_. Most of the
current generated passes through the external circuit 2, 2; but a part
is switched through a separate winding for the magnets, denoted by the
fine wire 1, 1. Here the strength of the magnetism does not vary
directly with the current, as only a small part of the current serves
the magnets. The shunt winding is therefore used where the voltage (or
pressure) must be constant.
[Illustration: FIG. 77.--Sketch showing a "series" winding.]
[Illustration: FIG. 78.--"Shunt" winding.]
A third method is a combination of the two already named. A winding of
fine wire passes from brush to brush round the magnets; and there is
also a series winding as in Fig. 77. This compound method is adapted
more especially for electric traction.
ALTERNATING DYNAMOS.
These have their field magnets excited by a separate continuous current
dynamo of small size. The field magnets usually revolve inside a fixed
armature (the reverse of the arrangement in a direct-current generator);
or there may be a fixed central armature and field magnets revolving
outside it. This latter arrangement is found in the great power stations
at Niagara Falls, where the enormous field-rings are mounted on the top
ends of vertical shafts, driven by water-turbines at the bottom of pits
178 feet deep, down which water is led to the turbines through great
pipes, or penstocks. The weight of each shaft and the field-ring
attached totals about thirty-five tons. This mass revolves 250 times a
minute, and 5,000 horse power is constantly developed by the dynamo.
Similar dynamos of 10,000 horse power each have been installed on the
Canadian side of the Falls.
[Illustration: FIG. 79.]
TRANSMISSION OF POWER.
Alternating current is used where power has to be transmitted for long
distances, because such a current can be intensified, or stepped up, by
a transformer somewhat similar in principle to a Ruhmkorff coil _minus_
a contact-breaker (see p. 122). A typical example of transformation is
seen in Fig. 79. Alternating current of 5,000 volts pressure is produced
in the generating station and sent through conductors to a distant
station, where a transformer, B, reduces the pressure to 500 volts to
drive an alternating motor, C, which in turn operates a direct current
dynamo, D. This dynamo has its + terminal connected with the insulated
or "live" rail of an electric railway, and its - terminal with the wheel
rails, which are metallically united at the joints to act as a
"return." On its way from the live rail to the return the current passes
through the motors. In the case of trams the conductor is either a cable
carried overhead on standards, from which it passes to the motor through
a trolley arm, or a rail laid underground in a conduit between the
rails. In the top of the conduit is a slit through which an arm carrying
a contact shoe on the end projects from the car. The shoe rubs
continuously on the live rail as the car moves.
To return for a moment to the question of transformation of current.
"Why," it may be asked, "should we not send low-pressure _direct_
current to a distant station straight from the dynamo, instead of
altering its nature and pressure? Or, at any rate, why not use
high-pressure direct current, and transform _that_?" The answer is, that
to transmit a large amount of electrical energy at low pressure (or
voltage) would necessitate large volume (or _amperage_) and a big and
expensive copper conductor to carry it. High-pressure direct current is
not easily generated, since the sparking at the collecting brushes as
they pass over the commutator segments gives trouble. So engineers
prefer high-pressure alternating current, which is easily produced, and
can be sent through a small and inexpensive conductor with little loss.
Also its voltage can be transformed by apparatus having no revolving
parts.
THE ELECTRIC MOTOR.
Anybody who understands the dynamo will also be able to understand the
electric motor, which is merely a reversed dynamo.
Imagine in Fig. 70 a dynamo taking the place of the lamp and passing
current through the brushes and commutator into the coil _w x y z_. Now,
any coil through which current passes becomes a magnet with N. and S.
poles at either end. (In Fig. 70 we will assume that the N. pole is
below and the S. pole above the coil.) The coil poles therefore try to
seek the contrary poles of the permanent magnet, and the coil revolves
until its S. pole faces the N. of the magnet, and _vice versa_. The
lines of force of the coil and the magnet are now parallel. But the
momentum of revolution carries the coil on, and suddenly the commutator
reverses its polarity, and a further half-revolution takes place. Then
comes a further reversal, and so on _ad infinitum_. The rotation of the
motor is therefore merely a question of repulsion and attraction of like
and unlike poles. An ordinary compass needle may be converted into a
tiny motor by presenting the N. and S. poles of a magnet to its S. and
N. poles alternately every half-revolution.
In construction and winding a motor is practically the same as a dynamo.
In fact, either machine can perform either function, though perhaps not
equally well adapted for both. Motors may be run with direct or
alternating current, according to their construction.
On electric cars the motor is generally suspended from the wheel truck,
and a small pinion on the armature shaft gears with a large pinion on a
wheel axle. One great advantage of electric traction is that every
vehicle of a train can carry its own motor, so that the whole weight of
the train may be used to get a grip on the rails when starting. Where a
single steam locomotive is used, the adhesion of its driving-wheels only
is available for overcoming the inertia of the load; and the whole
strain of starting is thrown on to the foremost couplings. Other
advantages may be summed up as follows:--(1) Ease of starting and rapid
acceleration; (2) absence of waste of energy (in the shape of burning
fuel) when the vehicles are at rest; (3) absence of smoke and smell.
ELECTRIC LIGHTING.
Dynamos are used to generate current for two main purposes--(1) To
supply power to motors of all kinds; (2) to light our houses, factories,
and streets. In private houses and theatres incandescent lamps are
generally used; in the open air, in shops, and in larger buildings, such
as railway stations, the arc lamp is more often found.
INCANDESCENT LAMP.
If you take a piece of very fine iron wire and lay it across the
terminals of an accumulator, it becomes white hot and melts, owing to
the heat generated by its resistance to the current. A piece of fine
platinum wire would become white hot without melting, and would give out
an intense light. Here we have the principle of the glow or incandescent
lamp--namely, the interposition in an electric circuit of a conductor
which at once offers a high resistance to the current, but is not
destroyed by the resulting heat.
In Fig. 80 is shown a fan propelling liquid constantly through a pipe.
Let us assume that the liquid is one which develops great friction on
the inside of the pipe. At the contraction, where the speed of travel
is much greater than elsewhere in the circuit, most heat will be
produced.
[Illustration: FIG. 80.--Diagram to show circulation of water through a
pipe.]
In quite the early days of the glow-lamp platinum wire was found to be
unreliable as regards melting, and filaments of carbon are now used. To
prevent the wasting away of the carbon by combination with oxygen the
filament is enclosed in a glass bulb from which practically all air has
been sucked by a mercury pump before sealing.
[Illustration: FIG. 81.--The electrical counterpart of Fig. 80. The
filament takes the place of the contraction in the pipe.]
The manufacture of glow-lamps is now an important industry. One brand of
lamp[20] is made as follows:--First, cotton-wool is dissolved in
chloride of zinc, and forms a treacly solution, which is squirted
through a fine nozzle into a settling solution which hardens it and
makes it coil up like a very fine violin string. After being washed and
dried, it is wound on a plumbago rod and baked in a furnace until only
the carbon element remains. This is the filament in the rough. It is
next removed from the rod and tipped with two short pieces of fine
platinum wire. To make the junction electrically perfect the filament is
plunged in benzine and heated to whiteness by the passage of a strong
current, which deposits the carbon of the benzine on the joints. The
filament is now placed under the glass receiver of an air-pump, the air
is exhausted, hydro-carbon vapour is introduced, and the filament has a
current passed through it to make it white hot. Carbon from the vapour
is deposited all over the filament until the required electrical
resistance is attained. The filament is now ready for enclosure in the
bulb. When the bulb has been exhausted and sealed, the lamp is tested,
and, if passed, goes to the finishing department, where the two platinum
wires (projecting through the glass) are soldered to a couple of brass
plates, which make contact with two terminals in a lamp socket. Finally,
brass caps are affixed with a special water-tight and hard cement.
ARC LAMPS.
In _arc_ lighting, instead of a contraction at a point in the circuit,
there is an actual break of very small extent. Suppose that to the ends
of the wires leading from a dynamo's terminals we attach two carbon
rods, and touch the end of the rods together. The tips become white hot,
and if they are separated slightly, atoms of incandescent carbon leap
from the positive to the negative rod in a continuous and intensely
luminous stream, which is called an _arc_ because the path of the
particles is curved. No arc would be formed unless the carbons were
first touched to start incandescence. If they are separated too far for
the strength of the current to bridge the gap the light will flicker or
go out. The arc lamp is therefore provided with a mechanism which, when
the current is cut off, causes the carbons to fall together, gradually
separates them when it is turned on, and keeps them apart. The principle
employed is the effort of a coil through which a current passes to draw
an iron rod into its centre. Some of the current feeding the lamp is
shunted through a coil, into which projects one end of an iron bar
connected with one carbon point. A spring normally presses the points
together when no current flows. As soon as current circulates through
the coil the bar is drawn upwards against the spring.
SERIES AND PARALLEL ARRANGEMENT OF LAMPS.
When current passes from one lamp to another, as in Fig. 82, the lamps
are said to be in _series_. Should one lamp fail, all in the circuit
would go out. But where arc lamps are thus arranged a special mechanism
on each lamp "short-circuits" it in case of failure, so that current may
pass uninterruptedly to the next.
[Illustration: FIG. 82.--Incandescent lamps connected in "series."]
Fig. 83 shows a number of lamps set _in parallel_. One terminal of each
is attached to the positive conductor, the other to the negative
conductor. Each lamp therefore forms an independent bridge, and does
not affect the efficiency of the rest. _Parallel series_ signifies a
combination of the two systems, and would be illustrated if, in Fig. 83,
two or more lamps were connected in series groups from one conductor to
the other. This arrangement is often used in arc lighting.
[Illustration: FIG. 83.--Incandescent lamps connected in "parallel."]
CURRENT FOR ELECTRIC LAMPS.
This may be either direct or alternating. The former is commonly used
for arc lamps, the latter for incandescent, as it is easily stepped-down
from the high-pressure mains for use in a house. Glow-lamps usually take
current of 110 or 250 volts pressure.
In arc lamps fed with direct current the tip of the positive carbon has
a bowl-shaped depression worn in it, while the negative tip is pointed.
Most of the illumination comes from the inner surface of the bowl, and
the positive carbon is therefore placed uppermost to throw the light
downwards. An alternating current, of course, affects both carbons in
the same manner, and there is no bowl.
The carbons need frequent renewal. A powerful lamp uses about 70 feet of
rod in 1,000 hours if the arc is exposed to the air. Some lamps have
partly enclosed arcs--that is, are surrounded by globes perforated by a
single small hole, which renders combustion very slow, though preventing
a vacuum.
ELECTROPLATING.
Electroplating is the art of coating metals with metals by means of
electricity. Silver, copper, and nickel are the metals most generally
deposited. The article to be coated is suspended in a chemical solution
of the metal to be deposited. Fig. 84 shows a very simple plating
outfit. A is a battery; B a vessel containing, say, an acidulated
solution of sulphate of copper. A spoon, S, hanging in this from a glass
rod, R, is connected with the zinc or negative element, Z, of the
battery, and a plate of copper, P, with the positive element, C. Current
flows in the direction shown by the arrows, from Z to C, C to P, P to
S, S to Z. The copper deposited from the solution on the spoon is
replaced by gradual dissolution of the plate, so that the latter serves
a double purpose.
[Illustration: FIG. 84.--An electroplating outfit.]
In silver plating, P is of silver, and the solution one of cyanide of
potassium and silver salts. Where nickel or silver has to be deposited
on iron, the article is often given a preliminary coating of copper, as
iron does not make a good junction with either of the first two metals,
but has an affinity for copper.
[17] From the Latin _commuto_, "I exchange."
[18] Only the "drum" type of armature is treated here.
[19] This refers to continuous-current dynamos only.
[20] The Robertson.
Chapter X.
RAILWAY BRAKES.
The Vacuum Automatic brake--The Westinghouse air-brake.
In the early days of the railway, the pulling up of a train necessitated
the shutting off of steam while the stopping-place was still a great
distance away. The train gradually lost its velocity, the process being
hastened to a comparatively small degree by the screw-down brakes on the
engine and guard's van. The goods train of to-day in many cases still
observes this practice, long obsolete in passenger traffic.
An advance was made when a chain, running along the entire length of the
train, was arranged so as to pull on subsidiary chains branching off
under each carriage and operating levers connected with brake blocks
pressing on every pair of wheels. The guard strained the main chain by
means of a wheel gear in his van. This system was, however, radically
defective, since, if any one branch chain was shorter than the rest, it
alone would get the strain. Furthermore, it is obvious that the snapping
of the main chain would render the whole arrangement powerless.
Accordingly, brakes operated by steam were tried. Under every carriage
was placed a cylinder, in connection with a main steam-pipe running
under the train. When the engineer wished to apply the brakes, he turned
high-pressure steam into the train pipe, and the steam, passing into the
brake cylinders, drove out in each a piston operating the brake gear.
Unfortunately, the steam, during its passage along the pipe, was
condensed, and in cold weather failed to reach the rear carriages. Water
formed in the pipes, and this was liable to freeze. If the train parted
accidentally, the apparatus of course broke down.
Hydraulic brakes have been tried; but these are open to several
objections; and railway engineers now make use of air-pressure as the
most suitable form of power. Whatever air system be adopted, experience
has shown that three features are essential:--(1.) The brakes must be
kept "off" artificially. (2.) In case of the train parting accidentally,
the brakes must be applied automatically, and quickly bring all the
vehicles of the train to a standstill. (3.) It must be possible to apply
the brakes with greater or less force, according to the needs of the
case.
At the present day one or other of two systems is used on practically
all automatically-braked cars and coaches. These are known as--(1) The
_vacuum automatic_, using the pressure of the atmosphere on a piston
from the other side of which air has been mechanically exhausted; and
(2) the _Westinghouse automatic_, using compressed air. The action of
these brakes will now be explained as simply as possible.
THE VACUUM AUTOMATIC BRAKE.
Under each carriage is a vacuum chamber (Fig. 85) riding on trunnions, E
E, so that it may swing a little when the brakes are applied. Inside the
chamber is a cylinder, the piston of which is rendered air-tight by a
rubber ring rolling between it and the cylinder walls. The piston rod
works through an air-tight stuffing-box in the bottom of the casing, and
when it rises operates the brake rods. It is obvious that if air is
exhausted from both sides of the piston at once, the piston will sink by
reason of its own weight and that of its attachments. If air is now
admitted below the piston, the latter will be pushed upwards with a
maximum pressure of 15 lbs. to the square inch. The ball-valve ensures
that while air can be sucked from _both_ sides of the piston, it can be
admitted to the lower side only.
[Illustration: FIG. 85.--Vacuum brake "off."]
[Illustration: FIG. 86.--Vacuum brake "on."]
Let us imagine that a train has been standing in a siding, and that air
has gradually filled the vacuum chamber by leakage. The engine is
coupled on, and the driver at once turns on the steam ejector,[21]
which sucks all the air out of the pipes and chambers throughout the
train. The air is sucked directly from the under side of the piston
through pipe D; and from the space A A and the cylinder (open at the
top) through the channel C, lifting the ball, which, as soon as
exhaustion is complete, or when the pressure on both sides of the piston
is equal, falls back on its seat. On air being admitted to the train
pipe, it rushes through D and into the space B (Fig. 86) below the
piston, but is unable to pass the ball, so that a strong upward pressure
is exerted on the piston, and the brakes go on. To throw them off, the
space below the piston must be exhausted. This is to be noted: If there
is a leak, as in the case of the train parting, _the brakes go on at
once_, since the vacuum below the piston is automatically broken.
[Illustration: FIG. 87.--Guard's valve for applying the Vacuum brake.]
For ordinary stops the vacuum is only partially broken--that is, an
air-pressure of but from 5 to 10 lbs. per square inch is admitted. For
emergency stops full atmospheric pressure is used. In this case it is
advisable that air should enter at _both_ ends of the train; so in the
guard's van there is installed an ingenious automatic valve, which can
at any time be opened by the guard pressing down a lever, but which
opens of itself when the train-pipe vacuum is rapidly destroyed. Fig. 87
shows this device in section. Seated on the top of an upright pipe is a
valve, _A_, connected by a bolt, B, to an elastic diaphragm, C, sealing
the bottom of the chamber D. The bolt B has a very small hole bored
through it from end to end. When the vacuum is broken slowly, the
pressure falls in D as fast as in the pipe; but a sudden inrush of air
causes the valve A to be pulled off its seat by the diaphragm C, as the
vacuum in D has not been broken to any appreciable extent. Air then
rushes into the train pipe through the valve. It is thus evident that
the driver controls this valve as effectively as if it were on the
engine. These "emergency" valves are sometimes fitted to every vehicle
of a train.
When a carriage is slipped, taps on each side of the coupling joint of
the train pipe are turned off by the guard in the "slip;" and when he
wishes to stop he merely depresses the lever E, gradually opening the
valve. Under the van is an auxiliary vacuum chamber, from which the air
is exhausted by the train pipe. If the guard, after the slip has parted
from the train, finds that he has applied his brakes too hard, he can
put this chamber into communication with the brake cylinder, and restore
the vacuum sufficiently to pull the brakes off again.
When a train has come to rest, the brakes must be sucked off by the
ejector. Until this has been done the train cannot be moved, so that it
is impossible for it to leave the station unprepared to make a sudden
stop if necessary.
THE WESTINGHOUSE AIR-BRAKE.
This system is somewhat more complicated than the vacuum, though equally
reliable and powerful. Owing to the complexity of certain parts, such as
the steam air-pump and the triple-valve, it is impossible to explain the
system in detail; we therefore have recourse to simple diagrammatic
sketches, which will help to make clear the general principles employed.
The air-brake, as first evolved by Mr. George Westinghouse, was a very
simple affair--an air-pump and reservoir on the engine; a long pipe
running along the train; and a cylinder under every vehicle to work the
brakes. To stop the train, the high-pressure air collected in the
reservoir was turned into the train pipe to force out the pistons in the
coach cylinders, connected to it by short branch pipes. One defect of
this "straight" system was that the brakes at the rear of a long train
did not come into action until a considerable time after the driver
turned on the air; and since, when danger is imminent, a very few
seconds are of great importance, this slowness of operation was a
serious fault. Also, it was found that the brakes on coaches near the
engine went on long before those more distant, so that during a quick
stop there was a danger of the forward coaches being bumped by those
behind. It goes without saying that any coaches which might break loose
were uncontrollable. Mr. Westinghouse therefore patented his _automatic_
brake, now so largely used all over the world. The brake ensures
practically instantaneous and simultaneous action on all the vehicles of
_a train of any length_.
[Illustration: FIG. 88.--Diagrammatic sketch of the details of the
Westinghouse air-brake. Brake "off."]
The principle of the brake will be gathered from Figs. 88 and 89. P is a
steam-driven air-pump on the engine, which compresses air into a
reservoir, A, situated below the engine or tender, and maintains a
pressure of from 80 to 90 lbs. per square inch. A three-way cock, C,
puts the train pipe into communication with A or the open air at the
wish of the driver. Under each coach is a triple-valve, T, an auxiliary
reservoir, B, and a brake cylinder, D. The triple-valve is the most
noteworthy feature of the whole system. The reader must remember that
the valve shown in the section is _only diagrammatic_.
Now for the operation of the brake. When the engine is coupled to the
train, the compressed air in the main reservoir is turned into the train
pipe, from which it passes through the triple-valve into the auxiliary
reservoir, and fills it till it has a pressure of, say, 80 lbs. per
square inch. Until the brakes are required, the pressure in the train
pipe must be maintained. If accidentally, or purposely (by turning the
cock C to the position shown in Fig. 89), the train-pipe pressure is
reduced, the triple-valve at once shifts, putting B in connection with
the brake cylinder D, and cutting off the connection between D and the
air, and the brakes go on. To get them off, the pressure in the train
pipe must be made equal to that in B, when the valve will assume its
original position, allowing the air in D to escape.
The force with which the brake is applied depends upon the reduction of
pressure in the train pipe. A slight reduction would admit air very
slowly from B to D, whereas a full escape from the train pipe would open
the valve to its utmost. We have not represented the means whereby the
valve is rendered sensitive to these changes, for the reason given
above.
[Illustration: FIG. 89.--Brake "on."]
The latest form of triple-valve includes a device which, when air is
rapidly discharged from the train pipe, as in an emergency application
of the brake, opens a port through which compressed air is also admitted
from the train pipe _directly_ into D. It will easily be understood that
a double advantage is hereby gained--first, in utilizing a considerable
portion of the air in the train pipe to increase the available brake
force in cases of emergency; and, secondly, in producing a quick
reduction of pressure in the whole length of the pipe, which accelerates
the action of the brakes with extraordinary rapidity.
It may be added that this secondary communication is kept open only
until the pressure in D is equal to that in the train pipe. Then it is
cut off, to prevent a return of air from B to the pipe.
An interesting detail of the system is the automatic regulation of
air-pressure in the main reservoir by the air-pump governor (Fig. 90).
The governor is attached to the steam-pipe leading from the locomotive
boiler to the air-pump. Steam from the boiler, entering at F, flows
through valve 14 and passes by D into the pump, which is thus brought
into operation, and continues to work until the pressure in the main
reservoir, acting on the under side of the diaphragm 9, exceeds the
tension to which the regulating spring 7 is set. Any excess of pressure
forces the diaphragm upwards, lifting valve 11, and allowing compressed
air from the main reservoir to flow into the chamber C. The air-pressure
forces piston 12 downwards and closes steam-valve 14, thus cutting off
the supply of steam to the pump. As soon as the pressure in the
reservoir is reduced (by leakage or use) below the normal, spring 7
returns diaphragm 9 to the position shown in Fig. 90, and pin-valve 11
closes. The compressed air previously admitted to the chamber C escapes
through the small port _a_ to the atmosphere. The steam, acting on the
lower surface of valve 14, lifts it and its piston to the position
shown, and again flows to the pump, which works until the required
air-pressure is again obtained in the reservoir.
[Illustration: FIG. 90.--Air-pump of Westinghouse brake.]
[21] This resembles the upper part of the rudimentary water injector
shown in Fig. 15. The reader need only imagine pipe B to be connected
with the train pipe. A rush of steam through pipe A creates a partial
vacuum in the cone E, causing air from the train pipe to rush into it
and be expelled by the steam blast.
Chapter XI.
RAILWAY SIGNALLING.
The block system--Position of signals--Interlocking the
signals--Locking gear--Points--Points and signals in
combination--Working the block system--Series of signalling
operations--Single line signals--The train staff--Train staff and
ticket--Electric train staff system--Interlocking--Signalling
operations--Power signalling--Pneumatic signalling--Automatic
signalling.
Under certain conditions--namely, at sharp curves or in darkness--the
most powerful brakes might not avail to prevent a train running into the
rear of another, if trains were allowed to follow each other closely
over the line. It is therefore necessary to introduce an effective
system of keeping trains running in the same direction a sufficient
distance apart, and this is done by giving visible and easily understood
orders to the driver while a train is in motion.
In the early days of the railway it was customary to allow a time
interval between the passings of trains, a train not being permitted to
leave a station until at least five minutes after the start of a
preceding train. This method did not, of course, prevent collisions, as
the first train sometimes broke down soon after leaving the station; and
in the absence of effective brakes, its successor ran into it. The
advent of the electric telegraph, which put stations in rapid
communication with one another, proved of the utmost value to the safe
working of railways.
THE BLOCK SYSTEM.
Time limits were abolished and distance limits substituted. A line was
divided into _blocks_, or lengths, and two trains going in the same
direction were never allowed on any one block at the same time.
The signal-posts carrying the movable arms, or semaphores, by means of
which the signalman communicates with the engine-driver, are well known
to us. They are usually placed on the left-hand side of the line of
rails to which they apply, with their arms pointing away from the rails.
The side of the arms which faces the direction from which a train
approaches has a white stripe painted on a red background, the other
side has a black stripe on a white background.
The distant and other signal arms vary slightly in shape (Fig. 91). A
distant signal has a forked end and a V-shaped stripe; the home and
starting signals are square-ended, with straight stripes. When the arm
stands horizontally, the signal is "on," or at "danger"; when dropped,
it is "off," and indicates "All right; proceed." At the end nearest the
post it carries a spectacle frame glazed with panes of red and green
glass. When the arm is at danger, the red pane is opposite a lamp
attached to the signal post; when the arm drops, the green pane rises to
that position--so that a driver is kept as fully informed at night as
during the day, provided the lamp remains alight.
[Illustration: FIG. 91.--Distant and home signals.]
POSITION OF SIGNALS.
On double lines each set of rails has its own separate signals, and
drivers travelling on the "up" line take no notice of signals meant for
the "down" line. Each signal-box usually controls three signals on each
set of rails--the distant, the home, and the starting. Their respective
positions will be gathered from Fig. 92, which shows a station on a
double line. Between the distant and the home an interval is allowed of
800 yards on the level, 1,000 yards on a falling gradient, and 600 yards
on a rising gradient. The home stands near the approach end of the
station, and the starting at the departure end of the platform. The last
is sometimes reinforced by an "advance starting" signal some distance
farther on.
It should be noted that the distant is only a _caution_ signal, whereas
both home and starting are _stop_ signals. This means that when the
driver sees the distant "on," he does not stop his train, but slackens
speed, and prepares to stop at the home signal. He must, however, on no
account pass either home or starting if they are at danger. In short,
the distant merely warns the driver of what he may expect at the home.
To prevent damage if a driver should overrun the home, it has been laid
down that no train shall be allowed to pass the starting signal of one
box unless the line is clear to a point at least a quarter of a mile
beyond the home of the next box. That point is called the _standard
clearing point_.
Technically described, a _block_ is a length of line between the last
stop signal worked from one signal-box and the first stop signal worked
from the next signal-box in advance.
[Illustration: FIG. 92.--Showing position of signals. Those at the top
are "off."]
INTERLOCKING SIGNALS.
A signalman cannot lower or restore his signals to their normal
positions in any order he likes. He is compelled to lower them as
follows:--Starting and home; _then_ distant. And restore them--distant;
_then_ starting and home. If a signalman were quite independent, he
might, after the passage of a train, restore the home or starting, but
forget all about the distant, so that the next train, which he wants to
stop, would dash past the distant without warning and have to pull up
suddenly when the home came in sight. But by a mechanical arrangement he
is prevented from restoring the home or starting until the distant is
at danger; and, _vice versa_, he cannot lower the last until the other
two are off. This mechanism is called _locking gear_.
LOOKING GEAR.
There are many different types of locking gear in use. It is impossible
to describe them all, or even to give particulars of an elaborate
locking-frame of any one type. But if we confine ourselves to the
simplest combination of a stud-locking apparatus, such as is used in
small boxes on the Great Western Railway, the reader will get an insight
into the general principles of these safety devices, as the same
principles underlie them all.
[Illustration: FIG. 93.--A signal lever and its connections. To move the
lever, C is pressed towards B raising the catch-rod from its nick in the
rack, G G G, guides; R R, anti-friction rollers; S, sockets for
catch-rod to work in.]
The levers in the particular type of locking gear which we are
considering have each a tailpiece or "tappet arm" attached to it, which
moves backwards and forwards with the lever (Fig. 93). Running at right
angles to this tappet, and close to it, either under or above, are the
lock bars, or stud bars. Refer now to Fig. 94, which shows the ends of
the three tappet arms, D, H, and S, crossed by a bar, B, from which
project these studs. The levers are all forward and the signals all
"on." If the signalman tried to pull the lever attached to D down the
page, as it were, he would fail to move it on account of the stud _a_,
which engages with a notch in D. Before this stud can be got free of the
notch the tappets H and S must be pulled over, so as to bring their
notches in line with studs _b_ and _c_ (Fig. 95). The signalman can now
move D, since the notch easily pushes the stud _a_ to the left (Fig.
96). The signals must be restored to danger. As H and S are back-locked
by D--that is, prevented by D from being put back into their normal
positions--D must be moved first. The interlocking of the three signals
described is merely repeated in the interlocking of a large number of
signals.
[Illustration: FIG. 94.]
[Illustration: FIG. 95.]
On entering a signal-box a visitor will notice that the levers have
different colours:--_Green_, signifying distant signals; _red_,
signifying home and starting signals; _blue_, signifying facing points;
_black_, signifying trailing points; _white_, signifying spare levers.
These different colours help the signalman to pick out the right levers
easily.
To the front of each lever is attached a small brass tablet bearing
certain numbers; one in large figures on the top, then a line, and other
numbers in small figures beneath. The large number is that of the lever
itself; the others, called _leads_, refer to levers which must be pulled
before that particular lever can be released.
[Illustration: FIG. 96.]
[Illustration: FIG. 97.--Model signal equipment in a signalling school.
(By permission of the "G.W.R. Magazine").]
POINTS.
Mention was made, in connection with the lever, of _points_. Before
going further we will glance at the action of these devices for enabling
a train to run from one set of rails to another. Figs. 98 and 99 show
the points at a simple junction. It will be noticed that the rails of
the line to the left of the points are continued as the outer rails of
the main and branch lines. The inner rails come to a sharp V-point, and
to the left of this are the two short rails which, by means of shifting
portions, decide the direction of a train's travel. In Fig. 98 the main
line is open; in Fig. 99, the branch. The shifting parts are kept
properly spaced by cross bars (or tie-rods), A A.
[Illustration: FIG. 98.--Points open to main line.]
[Illustration: FIG. 99.--Points open to branch line.]
It might be thought that the wheels would bump badly when they reach
the point B, where there is a gap. This is prevented, however, by the
bent ends E E (Fig. 98), on which the tread of the wheel rests until it
has reached some distance along the point of V. The safety rails S R
keep the outer wheel up against its rail until the V has been passed.
POINTS AND SIGNALS IN COMBINATION.
Let us suppose that a train is approaching the junction shown in Figs.
98 and 99 from the left. It is not enough that the driver should know
that the tracks are clear. He must also be assured that the track, main
or branch, as the case may be, along which he has to go, is open; and on
the other hand, if he were approaching from the right, he would want to
be certain that no train on the other line was converging on his. Danger
is avoided and assurance given by interlocking the points and signals.
To the left of the junction the home and distant signals are doubled,
there being two semaphore arms on each post. These are interlocked with
the points in such a manner that the signals referring to either line
can be pulled off only when the points are set to open the way to that
line. Moreover, before any shifting of points can be made, the signals
behind must be put to danger. The convergence of trains is prevented by
interlocking, which renders it impossible to have both sets of distant
and home signals at "All right" simultaneously.
WORKING OF BLOCK SYSTEM.
We may now pass to the working of the block system of signalling trains
from station to station on one line of a double track. Each signal-box
(except, of course, those at termini) has electric communication with
the next box in both directions. The instruments used vary on different
systems, but the principle is the same; so we will concentrate our
attention on those most commonly employed on the Great Western Railway.
They are:--(1.) Two tapper-bell instruments, connected with similar
instruments in the adjacent boxes on both sides. Each of these rings one
beat in the corresponding box every time its key is depressed. (2.) Two
Spagnoletti disc instruments--one, having two keys, communicating with
the box in the rear; and the other, in connection with the forward box,
having no keys. Their respective functions are to give signals and
receive them. In the centre of the face of each is a square opening,
behind which moves a disc carrying two "flags"--"Train on line" in white
letters on red ground, and "Line clear" in black letters on a white
ground. The keyed instrument has a red and a white key. When the red key
is depressed, "Train on line" appears at the opening; also in that of a
keyless disc at the adjacent signal-box. A depression of the white key
similarly gives "Line clear." A piece of wire with the ends turned over
and passed through two eyes slides over the keys, and can be made to
hold either down. In addition to these, telephonic and telegraphic
instruments are provided to enable the signalmen to converse.
SERIES OF SIGNALLING OPERATIONS.
[Illustration: FIG. 100.--The signaling instruments in three adjacent
cabins. The featherless arrows show the connection of the instruments.]
We may now watch the doings of signalmen in four successive boxes, A,
B, C, and D, during the passage of an express train. Signalman A calls
signalman B's attention by one beat on the tapper-bell. B answers by
repeating it to show that he is attending. A asks, "Is line clear for
passenger express?"--four beats on the bell. B, seeing that the line is
clear to his clearing point, sends back four beats, and pins down the
white key of his instrument. "Line clear" appears on the opening, and
also at that of A's keyless disc. A lowers starting signal. Train moves
off. A gives two beats on the tapper = "Train entering section." B pins
indicator at "Train on line," which also appears on A's instrument. A
places signals at danger. B asks C, "Is line clear?" C repeats the bell
code, and pins indicator at "Line clear," shown on B's keyless disc
also. B lowers all signals. Train passes. B signals to C, "Train
entering section." B signals to A, "Train out of section," and releases
indicator, which returns to normal position with half of each flag
showing at the window. B signals to C, "Train on line," and sets all his
signals to danger. C pins indicator to "Train on line." C asks, "Is line
clear?" But there is a train at station D, and signalman D therefore
gives no reply, which is equivalent to a negative. The driver, on
approaching C's distant, sees it at danger, and slows down, stopping at
the home. C lowers home, and allows train to proceed to his starting
signal. D, when the line is clear to his clearing point, signals "Line
clear," and pins indicator at "Line clear." C lowers starting signals,
and train proceeds. C signals to D, "Train entering section," and D pins
indicator at "Train on line." C signals to B, "Train out of section,"
sets indicator at normal, and puts signals at danger. And so the process
is repeated from station to station. Where, however, sections are short,
the signalman is advised one section ahead of the approach of a train by
an additional signal signifying, "Fast train approaching." The block
indicator reminds the signalman of the whereabouts of the train. Unless
his keyless indicator is at normal, he may not ask, "Is line clear?" And
until he signals back "Line clear" to the box behind, a train is not
allowed to enter his section. In this way a section of line with a full
complement of signals is always interposed between any two trains.
THE WORKING OF SINGLE LINES.
We have dealt with the signalling arrangements pertaining to double
lines of railway, showing that a system of signals is necessary to
prevent a train running into the back of its predecessor. Where trains
in both directions pass over a single line, not only has this element of
danger to be dealt with, but also the possibility of a train being
allowed to enter a section of line from each end _at the same time_.
This is effected in several ways, the essence of each being that the
engine-driver shall have in his possession _visible_ evidence of the
permission accorded him by the signalman to enter a section of single
line.
A SINGLE TRAIN STAFF.
The simplest form of working is to allocate to the length of line a
"train staff"--a piece of wood about 14 inches long, bearing the names
of the stations at either end. This is adopted where only one engine is
used for working a section, such as a short branch line. In a case like
this there is obviously no danger of two trains meeting, and the train
staff is merely the authority to the driver to start a journey. No
telegraphic communication is necessary with such a system, and signals
are placed only at the ends of the line.
TRAIN STAFF AND TICKET.
On long lengths of single line where more than one train has to be
considered, the line is divided into blocks in the way already described
for double lines, and a staff is assigned to each, the staffs for the
various blocks differing from each other in shape and colour. The usual
signals are provided at each station, and block telegraph instruments
are employed, the only difference being that one disc, of the key
pattern, is used for trains in both directions. On such a line it is, of
course, possible that two or more trains may require to follow each
other without any travelling intermediately in the opposite direction.
This would be impossible if the staff passed uniformly to and fro in the
block section; but it is arranged by the introduction of a train staff
_ticket_ used in conjunction with the staff.
No train is permitted to leave a staff station unless the staff for the
section of line to be traversed is at the station; and the driver has
the strictest possible instructions that he must _see_ the staff. If a
second train is required to follow, the staff is _shown_ to the driver,
and a train staff ticket handed him as his authority to proceed. If,
however, the next train over the section will enter from the opposite
end, the staff is _handed_ to the driver.
To render this system as safe as possible, train staff tickets are of
the same colour and shape as the staff for the section to which they
apply, and are kept in a special box at the stations, the key being
attached to the staff and the lock so arranged that the key cannot be
withdrawn unless the box has been locked.
ELECTRIC TRAIN STAFF AND TABLET SYSTEMS.
These systems of working are developments of the last mentioned, by
which are secured greater safety and ease in working the line. On some
sections of single line circumstances often necessitate the running of
several trains in one direction without a return train. For such cases
the train staff ticket was introduced; but even on the best regulated
lines it is not always possible to secure that the staff shall be at the
station where it is required at the right time, and cases have arisen
where, no train being available at the station where the staff was, it
had to be taken to the other station by a man on foot, causing much
delay to traffic. The electric train staff and tablet systems overcome
this difficulty. Both work on much the same principle, and we will
therefore describe the former.
[Illustration: FIG. 101.--An electric train staff holder: S S, staffs
in the slot of the instrument. Leaning against the side of the cabin is
a staff showing the key K at the end for unlocking a siding points
between two stations. The engine driver cannot remove the staff until
the points have been locked again.]
At each end of a block section a train staff instrument (Fig. 101) is
provided. In the base of these instruments are a number of train staffs,
any one of which would be accepted by an engine-driver as permission to
travel over the single line. The instruments are electrically connected,
the mechanism securing that a staff can be withdrawn only by the
co-operation of the signalman at each end of the section; that, when
_all_ the staffs are in the instruments, a staff may be withdrawn at
_either_ end; that, when a staff has been withdrawn, another cannot be
obtained until the one out has been restored to one or other of the
instruments. The safety of such a system is obvious, as also the
assistance to the working by having a staff available for a train no
matter from which end it is to enter the section.
The mechanism of the instruments is quite simple. A double-poled
electro-magnet is energized by the depression of a key by the signalman
at the further end of the block into which the train is to run, and by
the turning of a handle by the signalman who requires to withdraw a
staff. The magnet, being energized, is able to lift a mechanical lock,
and permits the withdrawal of a staff. In its passage through the
instrument the staff revolves a number of iron discs, which in turn
raise or lower a switch controlling the electrical connections. This
causes the electric currents actuating the electro-magnet to oppose
each other, the magnetism to cease, and the lock to fall back,
preventing another staff being withdrawn. It will naturally be asked,
"How is the electrical system restored?" We have said that there were a
number of staffs in each instrument--in other words, a given number of
staffs, usually twenty, is assigned to the section. Assume that there
are ten in each instrument, and that the switch in each is in its lower
position. Now withdraw a staff, and one instrument has an odd, the other
an even, number of staffs, and similarly one switch is raised while the
other remains lowered, therefore the electrical circuit is "out of
phase"--that is, the currents in the magnets of each staff instrument
are opposed to one another, and cannot release the lock. The staff
travels through the section and is placed in the instrument at the other
end, bringing the number of staffs to eleven--an odd number, and, what
is more important, _raising_ the switch. Both switches are now raised,
consequently the electric currents will support each other, so that a
staff may be withdrawn. Briefly, then, when there is an odd number of
staffs in one instrument and an even number in the other, as when a
staff is in use, the signalmen are unable to obtain a staff, and
consequently cannot give authority for a train to enter the section; but
when there is either an odd or an even number of staffs in each
instrument a staff may be withdrawn at either end on the co-operation of
the signalmen.
We may add that, where two instruments are in the same signal-box, one
for working to the box in advance, the other to the rear, it is arranged
that the staffs pertaining to one section shall not fit the instrument
for the other, and must be of different colours. This prevents the
driver accidentally accepting a staff belonging to one section as
authority to travel over the other.
INTERLOCKING.
The remarks made on the interlocking of points and signals on double
lines apply also to the working of single lines, with the addition that
not only are the distant, home, and starting signals interlocked with
each other, but with the signals and points governing the approach of a
train from the opposite direction--in other words, the signals for the
approach of a train to a station from one direction cannot be lowered
unless those for the approach to the station of a train from the
opposite direction are at danger, and the points correctly set.
SIGNALLING OPERATIONS.
In the working of single lines, as of double, the signalman at the
station from which a train is to proceed has to obtain the consent of
the signalman ahead, the series of questions to be signalled being very
similar to those detailed for double lines. There is, however, one
notable exception. On long lengths of single line it is necessary to
make arrangements for trains to pass each other. This is done by
providing loop lines at intervals, a second pair of rails being laid for
the accommodation of one train while another in the opposite direction
passes it. To secure that more than one train shall not be on a section
of single line between two crossing-places it is laid down that, when a
signalman at a non-crossing station is asked to allow a train to
approach his station, he must not give permission until he has notified
the signalman ahead of him, thus securing that he is not asking
permission for trains to approach from both directions at the same time.
Both for single and double line working a number of rules designed to
deal with cases of emergency are laid down, the guiding principle being
safety; but we have now dealt with all the conditions of everyday
working, and must pass to the consideration of
[Illustration: FIG. 102.--An electric lever-frame in a signalling cabin
at Didcot.]
"POWER" SIGNALLING.
In a power system of signalling the signalman is provided with some
auxiliary means--electricity, compressed air, etc.--of moving the
signals or points under his control. It is still necessary to have a
locking-frame in the signal-box, with levers interlocked with each
other, and connections between the box and the various points and
signals. But the frame is much smaller than an ordinary manual frame,
and but little force is needed to move the little levers which make or
break an electric circuit, or open an air-valve, according to the
power-agent used.
ELECTRIC SIGNALLING.
Fig. 102 represents the locking-frame of a cabin at Didcot, England,
where an all-electric system has been installed. Wires lead from the
cabin to motors situated at the points and signals, which they operate
through worm gearing. When a lever is moved it closes a circuit and sets
the current flowing through a motor, the direction of the flow (and
consequently of the motor's revolution) depending on whether the lever
has been moved forward or backward. Indicators arranged under the levers
tell the signalman when the desired movements at the points and signals
have been completed. If any motion is not carried through, owing to
failure of the current or obstruction of the working parts, an electric
lock prevents him continuing operations. Thus, suppose he has to open
the main line to an express, he is obliged by the mechanical
locking-frame to set all the points correctly before the signals can be
lowered. He might move all the necessary levers in due order, yet one
set of points might remain open, and, were the signals lowered, an
accident would result. But this cannot happen, as the electric locks
worked by the points in question block the signal levers, and until the
failure has been set right, the signals must remain at "danger."
The point motors are connected direct to the points; but between a
signal motor and its arm there is an "electric slot," consisting of a
powerful electro-magnet which forms a link in the rod work. To lower a
signal it is necessary that the motor shall revolve and a control
current pass round the magnet to give it the requisite attractive force.
If no control current flows, as would happen were any pair of points not
in their proper position, the motor can have no effect on the signal arm
to lower it, owing to the magnet letting go its grip. Furthermore, if
the signal had been already lowered when the control current failed, it
would rise to "danger" automatically, as all signals are weighted to
assume the danger position by gravity. The signal control currents can
be broken by the signalman moving a switch, so that in case of emergency
all signals may be thrown simultaneously to danger.
PNEUMATIC SIGNALLING.
In England and the United States compressed air is also used to do the
hard labour of the signalman for him. Instead of closing a circuit, the
signalman, by moving a lever half-way over, admits air to a pipe running
along the track to an air reservoir placed beside the points or signal
to which the lever relates. The air opens a valve and puts the reservoir
in connection with a piston operating the points or signal-arm, as the
case may be. This movement having been performed, another valve in the
reservoir is opened, and air passes back through a second pipe to the
signal-box, where it opens a third valve controlling a piston which
completes the movement of the lever, so showing the signalman that the
operation is complete. With compressed air, as with electricity, a
mechanical locking-frame is of course used.
AUTOMATIC SIGNALLING.
To reduce expense, and increase the running speed on lines where the
sections are short, the train is sometimes made to act as its own
signalman. The rails of each section are all bonded together so as to be
in metallic contact, and each section is insulated from the two
neighbouring sections. At the further end of a section is installed an
electric battery, connected to the rails, which lead the current back to
a magnet operating a signal stationed some distance back on the
preceding section. As long as current flows the signal is held at "All
right." When a train enters the section the wheels and axles
short-circuit the current, so that it does not reach the signal magnet,
and the signal rises to "danger," and stays there until the last pair of
wheels has passed out of the section. Should the current fail or a
vehicle break loose and remain on the section, the same thing would
happen.
The human element can thus be practically eliminated from signalling. To
make things absolutely safe, a train should have positive control over a
train following, to prevent the driver overrunning the signals. On
electric railways this has been effected by means of contacts working
in combination with the signals, which either cut the current off from
the section preceding that on which a train may be, or raise a trigger
to strike an arm on the train following and apply its brakes.
Chapter XII.
OPTICS.
Lenses--The image cast by a convex lens--Focus--Relative position
of object and lens--Correction of lenses for colour--Spherical
aberration--Distortion of image--The human eye--The use of
spectacles--The blind spot.
Light is a third form of that energy of which we have already treated
two manifestations--heat and electricity. The distinguishing
characteristic of ether light-waves is their extreme rapidity of
vibration, which has been calculated to range from 700 billion movements
per second for violet rays to 400 billion for red rays.
If a beam of white light be passed through a prism it is resolved into
the seven visible colours of the spectrum--violet, indigo, blue, green,
yellow, orange, and red--in this order. The human eye is most sensitive
to the yellow-red rays, a photographic plate to the green-violet rays.
All bodies fall into one of two classes--(1) _Luminous_--that is, those
which are a _source_ of light, such as the sun, a candle flame, or a
red-hot coal; and (2) _non-luminous_, which become visible only by
virtue of light which they receive from other bodies and reflect to our
eyes.
THE PROPAGATION OF LIGHT.
Light naturally travels in a straight line. It is deflected only when it
passes from one transparent medium into another--for example, from air
to water--and the mediums are of different densities. We may regard the
surface of a visible object as made up of countless points, from each of
which a diverging pencil of rays is sent off through the ether.
LENSES.
If a beam of light encounters a transparent glass body with non-parallel
sides, the rays are deflected. The direction they take depends on the
shape of the body, but it may be laid down as a rule that they are bent
toward the thicker part of the glass. The common burning-glass is well
known to us. We hold it up facing the sun to concentrate all the heat
rays that fall upon it into one intensely brilliant spot, which speedily
ignites any inflammable substance on which it may fall (Fig. 103). We
may imagine that one ray passes from the centre of the sun through the
centre of the glass. This is undeflected; but all the others are bent
towards it, as they pass through the thinner parts of the lens.
[Illustration: FIG. 103.--Showing how a burning-glass concentrates the
heat rays which fall upon it.]
It should be noted here that _sunlight_, as we call it, is accompanied
by heat. A burning-glass is used to concentrate the _heat_ rays, not the
_light_ rays, which, though they are collected too, have no igniting
effect.
In photography we use a lens to concentrate light rays only. Such heat
rays as may pass through the lens with them are not wanted, and as they
have no practical effect are not taken any notice of. To be of real
value, a lens must be quite symmetrical--that is, the curve from the
centre to the circumference must be the same in all directions.
There are six forms of simple lenses, as given in Fig. 104. Nos. 1 and
2 have one flat and one spherical surface. Nos. 3, 4, 5, 6 have two
spherical surfaces. When a lens is thicker at the middle than at the
sides it is called a _convex_ lens; when thinner, a _concave_ lens. The
names of the various shapes are as follows:--No. 1, plano-convex; No. 2,
plano-concave; No. 3, double convex; No. 4, double concave; No. 5,
meniscus; No. 6, concavo-convex. The thick-centre lenses, as we may term
them (Nos. 1, 3, 5), _concentrate_ a pencil of rays passing through
them; while the thin-centre lenses (Nos. 2, 4, 6) _scatter_ the rays
(see Fig. 105).
[Illustration: FIG. 104.--Six forms of lenses.]
THE CAMERA.
[Illustration: FIG. 105.]
[Illustration: FIG. 106.]
We said above that light is propagated in straight lines. To prove this
is easy. Get a piece of cardboard and prick a hole in it. Set this up
some distance away from a candle flame, and hold behind it a piece of
tissue paper. You will at once perceive a faint, upside-down image of
the flame on the tissue. Why is this? Turn for a moment to Fig. 106,
which shows a "pinhole" camera in section. At the rear is a ground-glass
screen, B, to catch the image. Suppose that A is the lowest point of the
flame. A pencil of rays diverging from it strikes the front of the
camera, which stops them all except the one which passes through the
hole and makes a tiny luminous spot on B, _above_ the centre of the
screen, though A is below the axis of the camera. Similarly the tip of
the flame (above the axis) would be represented by a dot on the screen
below its centre. And so on for all the millions of points of the flame.
If we were to enlarge the hole we should get a brighter image, but it
would have less sharp outlines, because a number of rays from every
point of the candle would reach the screen and be jumbled up with the
rays of neighbouring pencils. Now, though a good, sharp photograph may
be taken through a pinhole, the time required is so long that
photography of this sort has little practical value. What we want is a
large hole for the light to enter the camera by, and yet to secure a
distinct image. If we place a lens in the hole we can fulfil our wish.
Fig. 107 shows a lens in position, gathering up a number of rays from a
point, A, and focussing them on a point, B. If the lens has 1,000 times
the area of the pinhole, it will pass 1,000 times as many rays, and the
image of A will be impressed on a sensitized photographic plate 1,000
times more quickly.
[Illustration: FIG. 107.]
THE IMAGE CAST BY A CONVEX LENS.
Fig. 108 shows diagrammatically how a convex lens forms an image. From A
and B, the extremities of the object, a simple ray is considered to pass
through the centre of the lens. This is not deflected at all. Two other
rays from the same points strike the lens above and below the centre
respectively. These are bent inwards and meet the central rays, or come
to a focus with them at A^1 and B^1. In reality a countless number
of rays would be transmitted from every point of the object and
collected to form the image.
[Illustration: FIG. 108.--Showing how an image is cast by a convex
lens.]
FOCUS.
We must now take special notice of that word heard so often in
photographic talk--"focus." What is meant by the focus or focal length
of a lens? Well, it merely signifies the distance between the optical
centre of the lens and the plane in which the image is formed.
[Illustration: FIG. 109.]
We must here digress a moment to draw attention to the three simple
diagrams of Fig. 109. The object, O, in each case is assumed to be to
the right of the lens. In the topmost diagram the object is so far away
from the lens that all rays coming from a single point in it are
practically parallel. These converge to a focus at F. If the distance
between F and the centre of the lens is six inches, we say that the
lens has a six-inch focal length. The focal length of a lens is judged
by the distance between lens and image when the object is far away. To
avoid confusion, this focal length is known as the _principal_ focus,
and is denoted by the symbol f. In the middle diagram the object is
quite near the lens, which has to deal with rays striking its nearer
surface at an acuter angle than before (reckoning from the centre). As
the lens can only deflect their path to a fixed degree, they will not,
after passing the lens, come together until they have reached a point,
F^1, further from the lens than F. The nearer we approach O to the
lens, the further away on the other side is the focal point, until a
distance equal to that of F from the lens is reached, when the rays
emerge from the glass in a parallel pencil. The rays now come to a focus
no longer, and there can be no image. If O be brought nearer than the
focal distance, the rays would _diverge_ after passing through the lens.
RELATIVE POSITIONS OF OBJECT AND IMAGE.
[Illustration: FIG. 110.--Showing how the position of the image alters
relatively to the position of the object.]
From what has been said above we deduce two main conclusions--(1.) The
nearer an object is brought to the lens, the further away from the lens
will the image be. (2.) If the object approaches within the principal
focal distance of the lens, no image will be cast by the lens. To make
this plainer we append a diagram (Fig. 110), which shows five positions
of an object and the relative positions of the image (in dotted lines).
First, we note that the line A B, or A B^1, denotes the principal
focal length of the lens, and A C, or A C^1, denotes twice the focal
length. We will take the positions in order:--
_Position I._ Object further away than 2_f_. Inverted image _smaller_
than object, at distance somewhat exceeding _f_.
_Position II._ Object at distance = 2_f_. Inverted image at distance =
2_f_, and of size equal to that of object.
_Position III_ Object nearer than 2_f_. Inverted image further away than
2_f_; _larger_ than the object.
_Position IV._ Object at distance = _f_. As rays are parallel after
passing the lens _no_ image is cast.
_Position V._ Object at distance less than _f_. No real image--that is,
one that can be caught on a focussing screen--is now given by the lens,
but a magnified, erect, _virtual_ image exists on the same side of the
lens as the object.
We shall refer to _virtual_ images at greater length presently. It is
hoped that any reader who practises photography will now understand why
it is necessary to rack his camera out beyond the ordinary focal
distance when taking objects at close quarters. From Fig. 110 he may
gather one practically useful hint--namely, that to copy a diagram,
etc., full size, both it and the plate must be exactly 2_f_ from the
optical centre of the lens. And it follows from this that the further he
can rack his camera out beyond 2_f_ the greater will be the possible
enlargement of the original.
CORRECTION OF LENSES FOR COLOUR.
We have referred to the separation of the spectrum colours of white
light by a prism. Now, a lens is one form of prism, and therefore sorts
out the colours. In Fig. 111 we assume that two parallel red rays and
two parallel violet rays from a distant object pass through a lens. A
lens has most bending effect on violet rays and least on red, and the
other colours of the spectrum are intermediately influenced. For the
sake of simplicity we have taken the two extremes only. You observe that
the point R, in which the red rays meet, is much further from the lens
than is V, the meeting-point of the violet rays. A photographer very
seldom has to take a subject in which there are not objects of several
different colours, and it is obvious that if he used a simple lens like
that in Fig. 111 and got his red objects in good focus, the blue and
green portions of his picture would necessarily be more or less out of
focus.
[Illustration: FIG. 111.]
[Illustration: FIG. 112.]
This defect can fortunately be corrected by the method shown in Fig.
112. A _compound_ lens is needed, made up of a _crown_ glass convex
element, B, and a concave element, A, of _flint_ glass. For the sake of
illustration the two parts are shown separated; in practice they would
be cemented together, forming one optical body, thicker in the centre
than at the edges--a meniscus lens in fact, since A is not so concave as
B is convex. Now, it was discovered by a Mr. Hall many years ago that if
white light passed through two similar prisms, one of flint glass the
other of crown glass, the former had the greater effect in separating
the spectrum colours--that is, violet rays were bent aside more suddenly
compared with the red rays than happened with the crown-glass prism.
Look at Fig. 112. The red rays passing through the flint glass are but
little deflected, while the violet rays turn suddenly outwards. This is
just what is wanted, for it counteracts the unequal inward refraction
by B, and both sets of rays come to a focus in the same plane. Such a
lens is called _achromatic_, or colourless. If you hold a common
reading-glass some distance away from large print you will see that the
letters are edged with coloured bands, proving that the lens is not
achromatic. A properly corrected photographic lens would not show these
pretty edgings. Colour correction is necessary also for lenses used in
telescopes and microscopes.
SPHERICAL ABERRATION.
A lens which has been corrected for colour is still imperfect. If rays
pass through all parts of it, those which strike it near the edge will
be refracted more than those near the centre, and a blurred focus
results. This is termed _spherical aberration_. You will be able to
understand the reason from Figs. 113 and 114. Two rays, A, are parallel
to the axis and enter the lens near the centre (Fig. 113). These meet in
one plane. Two other rays, B, strike the lens very obliquely near the
edge, and on that account are both turned sharply upwards, coming to a
focus in a plane nearer the lens than A. If this happened in a camera
the results would be very bad. Either A or B would be out of focus. The
trouble is minimized by placing in front of the lens a plate with a
central circular opening in it (denoted by the thick, dark line in Fig.
114). The rays B of Fig. 113 are stopped by this plate, which is
therefore called a _stop_. But other rays from the same point pass
through the hole. These, however, strike the lens much more squarely
above the centre, and are not unduly refracted, so that they are brought
to a focus in the same plane as rays A.
[Illustration: FIG. 113.]
[Illustration: FIG. 114.]
DISTORTION OF IMAGE.
[Illustration: FIG. 115.--Section of a rectilinear lens.]
The lens we have been considering is a single meniscus, such as is used
in landscape photography, mounted with the convex side turned towards
the inside of the camera, and having the stop in front of it. If you
possess a lens of this sort, try the following experiment with it. Draw
a large square on a sheet of white paper and focus it on the screen. The
sides instead of being straight bow outwards: this is called _barrel_
distortion. Now turn the lens mount round so that the lens is outwards
and the stop inwards. The sides of the square will appear to bow towards
the centre: this is _pin-cushion_ distortion. For a long time opticians
were unable to find a remedy. Then Mr. George S. Cundell suggested that
_two_ meniscus lenses should be used in combination, one on either side
of the stop, as in Fig 115. Each produces distortion, but it is
counteracted by the opposite distortion of the other, and a square is
represented as a square. Lenses of this kind are called _rectilinear_,
or straight-line producing.
We have now reviewed the three chief defects of a lens--chromatic
aberration, spherical aberration, and distortion--and have seen how they
may be remedied. So we will now pass on to the most perfect of cameras,
THE HUMAN EYE.
The eye (Fig. 116) is nearly spherical in form, and is surrounded
outside, except in front, by a hard, horny coat called the _sclerotica_
(S). In front is the _cornea_ (A), which bulges outwards, and acts as a
transparent window to admit light to the lens of the eye (C). Inside the
sclerotica, and next to it, comes the _choroid_ coat; and inside that
again is the _retina_, or curved focussing screen of the eye, which may
best be described as a network of fibres ramifying from the optic nerve,
which carries sight sensations to the brain. The hollow of the ball is
full of a jelly-like substance called the _vitreous humour_; and the
cavity between the lens and the cornea is full of water.
We have already seen that, in focussing, the distance between lens and
image depends on the distance between object and lens. Now, the retina
cannot be pushed nearer to or pulled further away from its lens, like
the focussing screen of a camera. How, then, is the eye able to focus
sharply objects at distances varying from a foot to many miles?
[Illustration: FIG. 116.--Section of the human eye.]
As a preliminary to the answer we must observe that the more convex a
lens is, the shorter is its focus. We will suppose that we have a box
camera with a lens of six-inch focus fixed rigidly in the position
necessary for obtaining a sharp image of distant objects. It so happens
that we want to take with it a portrait of a person only a few feet from
the lens. If it were a bellows camera, we should rack out the back or
front. But we cannot do this here. So we place in front of our lens a
second convex lens which shortens its principal focus; so that _in
effect_ the box has been racked out sufficiently.
Nature, however, employs a much more perfect method than this. The eye
lens is plastic, like a piece of india-rubber. Its edges are attached to
ligaments (L L), which pull outwards and tend to flatten the curve of
its surfaces. The normal focus is for distant objects. When we read a
book the eye adapts itself to the work. The ligaments relax and the lens
decreases in diameter while thickening at the centre, until its
curvature is such as to focus all rays from the book sharply on the
retina. If we suddenly look through the window at something outside, the
ligaments pull on the lens envelope and flatten the curves.
This wonderful lens is achromatic, and free from spherical aberration
and distortion of image. Nor must we forget that it is aided by an
automatic "stop," the _iris_, the central hole of which is named the
_pupil_. We say that a person has black, blue, or gray eyes according to
the colour of the iris. Like the lens, the iris adapts itself to all
conditions, contracting when the light is strong, and opening when the
light is weak, so that as uniform an amount of light as conditions allow
may be admitted to the eye. Most modern camera lenses are fitted with
adjustable stops which can be made larger or smaller by twisting a ring
on the mount, and are named "iris" stops. The image of anything seen is
thrown on the retina upside down, and the brain reverses the position
again, so that we get a correct impression of things.
THE USE OF SPECTACLES.
[Illustration: FIG. 117_a_.]
[Illustration: FIG. 117_b_.]
[Illustration: FIG. 118_a_.]
[Illustration: FIG. 118_b_.]
The reader will now be able to understand without much trouble the
function of a pair of spectacles. A great many people of all ages suffer
from short-sight. For one reason or another the distance between lens
and retina becomes too great for a person to distinguish distant objects
clearly. The lens, as shown in Fig 117_a_, is too convex--has its
minimum focus too short--and the rays meet and cross before they reach
the retina, causing general confusion of outline. This defect is simply
remedied by placing in front of the eye (Fig. 117_b_) a _concave_ lens,
to disperse the rays somewhat before they enter the eye, so that they
come to a focus on the retina. If a person's sight is thus corrected for
distant objects, he can still see near objects quite plainly, as the
lens will accommodate its convexity for them. The scientific term for
short-sight is _myopia_. Long-sight, or _hypermetropia_, signifies that
the eyeball is too short or the lens too flat. Fig. 118_a_ represents
the normal condition of a long-sighted eye. When looking at a distant
object the eye thickens slightly and brings the focus forward into the
retina. But its thickening power in such an eye is very limited, and
consequently the rays from a near object focus behind the retina. It is
therefore necessary for a long-sighted person to use _convex_ spectacles
for reading the newspaper. As seen in Fig. 118_b_, the spectacle lens
concentrates the rays before they enter the eye, and so does part of the
eye's work for it.
Returning for a moment to the diagram of the eye (Fig. 116), we notice a
black patch on the retina near the optic nerve. This is the "yellow
spot." Vision is most distinct when the image of the object looked at is
formed on this part of the retina. The "blind spot" is that point at
which the optic nerve enters the retina, being so called from the fact
that it is quite insensitive to light. The finding of the blind spot is
an interesting little experiment. On a card make a large and a small
spot three inches apart, the one an eighth, the other half an inch in
diameter. Bring the card near the face so that an eye is exactly
opposite to each spot, and close the eye opposite to the smaller. Now
direct the other eye to this spot and you will find, if the card be
moved backwards and forwards, that at a certain distance the large spot,
though many times larger than its fellow, has completely vanished,
because the rays from it enter the open eye obliquely and fall on the
"blind spot."
Chapter XIII.
THE MICROSCOPE, THE TELESCOPE, AND THE MAGIC-LANTERN.
The simple microscope--Use of the simple microscope in the
telescope--The terrestrial telescope--The Galilean telescope--The
prismatic telescope--The reflecting telescope--The parabolic
mirror--The compound microscope--The magic-lantern--The
bioscope--The plane mirror.
In Fig. 119 is represented an eye looking at a vase, three inches high,
situated at A, a foot away. If we were to place another vase, B, six
inches high, at a distance of two feet; or C, nine inches high, at three
feet; or D, a foot high, at four feet, the image on the retina would in
every case be of the same size as that cast by A. We can therefore lay
down the rule that _the apparent size of an object depends on the angle
that it subtends at the eye_.
[Illustration: FIG. 119.]
To see a thing more plainly, we go nearer to it; and if it be very
small, we hold it close to the eye. There is, however, a limit to the
nearness to which it can be brought with advantage. The normal eye is
unable to adapt its focus to an object less than about ten inches away,
termed the "least distance of distinct vision."
THE SIMPLE MICROSCOPE.
[Illustration: FIG. 120.]
A magnifying glass comes in useful when we want to examine an object
very closely. The glass is a lens of short focus, held at a distance
somewhat less than its principal focal length, F (see Fig. 120), from
the object. The rays from the head and tip of the pin which enter the
eye are denoted by continuous lines. As they are deflected by the glass
the eye gets the _impression_ that a much longer pin is situated a
considerable distance behind the real object in the plane in which the
refracted rays would meet if produced backwards (shown by the dotted
lines). The effect of the glass, practically, is to remove it (the
object) to beyond the least distance of distinct vision, and at the same
time to retain undiminished the angle it subtends at the eye, or, what
amounts to the same thing, the actual size of the image formed on the
retina.[22] It follows, therefore, that if a lens be of such short focus
that it allows us to see an object clearly at a distance of two
inches--that is, one-fifth of the least distance of distinct vision--we
shall get an image on the retina five times larger in diameter than
would be possible without the lens.
The two simple diagrams (Figs. 121 and 122) show why the image to be
magnified should be nearer to the lens than the principal focus, F. We
have already seen (Fig. 109) that rays coming from a point in the
principal focal plane emerge as a parallel pencil. These the eye can
bring to a focus, because it normally has a curvature for focussing
parallel rays. But, owing to the power of "accommodation," it can also
focus _diverging_ rays (Fig. 121), the eye lens thickening the necessary
amount, and we therefore put our magnifying glass a bit nearer than F to
get full advantage of proximity. If we had the object _outside_ the
principal focus, as in Fig. 122, the rays from it would converge, and
these could not be gathered to a sharp point by the eye lens, as it
cannot _flatten_ more than is required for focussing parallel rays.
[Illustration: FIG. 121.]
[Illustration: FIG. 122.]
USE OF THE SIMPLE MICROSCOPE IN THE TELESCOPE.
[Illustration: FIG. 123.]
Let us now turn to Fig. 123. At A is a distant object, say, a hundred
yards away. B is a double convex lens, which has a focal length of
twenty inches. We may suppose that it is a lens in a camera. An inverted
image of the object is cast by the lens at C. If the eye were placed at
C, it would distinguish nothing. But if withdrawn to D, the least
distance of distinct vision,[23] behind C, the image is seen clearly.
That the image really is at C is proved by letting down the focussing
screen, which at once catches it. Now, as the focus of the lens is twice
_d_, the image will be twice as large as the object would appear if
viewed directly without the lens. We may put this into a very simple
formula:--
Magnification = focal length of lens
--------------------
_d_
[Illustration: FIG. 124.]
In Fig. 124 we have interposed between the eye and the object a small
magnifying glass of 2-1/2-inch focus, so that the eye can now clearly
see the image when one-quarter _d_ away from it. B already magnifies the
image twice; the eye-piece again magnifies it four times; so that the
total magnification is 2 x 4 = 8 times. This result is arrived at
quickly by dividing the focus of B (which corresponds to the
object-glass of a telescope) by the focus of the eye-piece, thus:--
20
____ = 8
2-1/2
The ordinary astronomical telescope has a very long focus object-glass
at one end of the tube, and a very short focus eye-piece at the other.
To see an object clearly one merely has to push in or pull out the
eye-piece until its focus exactly corresponds with that of the
object-glass.
THE TERRESTRIAL TELESCOPE.
An astronomical telescope inverts images. This inversion is inconvenient
for other purposes. So the terrestrial telescope (such as is commonly
used by sailors) has an eye-piece compounded of four convex lenses which
erect as well as magnify the image. Fig. 125 shows the simplest form of
compound erecting eye-piece.
[Illustration: FIG. 125.]
THE GALILEAN TELESCOPE.
[Illustration: FIG. 126.]
A third form of telescope is that invented by the great Italian
astronomer, Galileo,[24] in 1609. Its principle is shown in Fig. 126.
The rays transmitted by the object-glass are caught, _before_ coming to
a focus, on a concave lens which separates them so that they appear to
meet in the paths of convergence denoted by the dotted lines. The image
is erect. Opera-glasses are constructed on the Galilean principle.
THE PRISMATIC TELESCOPE.
In order to be able to use a long-focus object-glass without a long
focussing-tube, a system of glass reflecting prisms is sometimes
employed, as in Fig. 127. A ray passing through the object-glass is
reflected from one posterior surface of prism A on to the other
posterior surface, and by it out through the front on to a second prism
arranged at right angles to it, which passes the ray on to the compound
eye-piece. The distance between object-glass and eye-piece is thus
practically trebled. The best-known prismatic telescopes are the Zeiss
field-glasses.
[Illustration: FIG. 127.]
THE REFLECTING TELESCOPE.
We must not omit reference to the _reflecting_ telescope, so largely
used by astronomers. The front end of the telescope is open, there being
no object-glass. Rays from the object fall on a parabolic mirror
situated in the rear end of the tube. This reflects them forwards to a
focus. In the Newtonian reflector a plane mirror or prism is situated in
the axis of the tube, at the focus, to reflect the rays through an
eye-piece projecting through the side of the tube. Herschel's form of
reflector has the mirror set at an angle to the axis, so that the rays
are reflected direct into an eye-piece pointing through the side of the
tube towards the mirror.
THE PARABOLIC MIRROR.
This mirror (Fig. 128) is of such a shape that all rays parallel to the
axis are reflected to a common point. In the marine searchlight a
powerful arc lamp is arranged with the arc at the focus of a parabolic
reflector, which sends all reflected light forward in a pencil of
parallel rays. The most powerful searchlight in existence gives a light
equal to that of 350 million candles.
[Illustration: FIG. 128.--A parabolic reflector.]
THE COMPOUND MICROSCOPE.
We have already observed (Fig. 110) that the nearer an object
approaches a lens the further off behind it is the real image formed,
until the object has reached the focal distance, when no image at all is
cast, as it is an infinite distance behind the lens. We will assume that
a certain lens has a focus of six inches. We place a lighted candle four
feet in front of it, and find that a _sharp_ diminished image is cast on
a ground-glass screen held seven inches behind it. If we now exchange
the positions of the candle and the screen, we shall get an enlarged
image of the candle. This is a simple demonstration of the law of
_conjugate foci_--namely, that the distance between the lens and an
object on one side and that between the lens and the corresponding image
on the other bear a definite relation to each other; and an object
placed at either focus will cast an image at the other. Whether the
image is larger or smaller than the object depends on which focus it
occupies. In the case of the object-glass of a telescope the image was
at what we may call the _short_ focus.
[Illustration: FIG. 129.--Diagram to explain the compound microscope.]
Now, a compound microscope is practically a telescope with the object at
the _long_ focus, very close to a short-focus lens. A greatly enlarged
image is thrown (see Fig. 129) at the conjugate focus, and this is
caught and still further magnified by the eye-piece. We may add that the
object-glass, or _objective_, of a microscope is usually compounded of
several lenses, as is also the eye-piece.
THE MAGIC-LANTERN.
The most essential features of a magic-lantern are:--(1) The _source of
light_; (2) the _condenser_ for concentrating the light rays on to the
slide; (3) the _lens_ for projecting a magnified image on to a screen.
Fig. 130 shows these diagrammatically. The _illuminant_ is most commonly
an oil-lamp, or an acetylene gas jet, or a cylinder of lime heated to
intense luminosity by an oxy-hydrogen flame. The natural combustion of
hydrogen is attended by a great heat, and when the supply of oxygen is
artificially increased the temperature of the flame rises enormously.
The nozzle of an oxy-hydrogen jet has an interior pipe connected with
the cylinder holding one gas, and an exterior, and somewhat larger, pipe
leading from that containing the other, the two being arranged
concentrically at the nozzle. By means of valves the proportions of the
gases can be regulated to give the best results.
[Illustration: FIG. 130.--Sketch of the elements of a magic-lantern.]
The _condenser_ is set somewhat further from the illuminant than the
principal focal length of the lenses, so that the rays falling on them
are bent inwards, or to the slide.
The _objective_, or object lens, stands in front of the slide. Its
position is adjustable by means of a rack and a draw-tube. The nearer it
is brought to the slide the further away is the conjugate focus (see p.
239), and consequently the image. The exhibitor first sets up his screen
and lantern, and then finds the conjugate foci of slide and image by
racking the lens in or out.
If a very short focus objective be used, subjects of microscopic
proportions can be projected on the screen enormously magnified. During
the siege of Paris in 1870-71 the Parisians established a balloon and
pigeon post to carry letters which had been copied in a minute size by
photography. These copies could be enclosed in a quill and attached to a
pigeon's wing. On receipt, the copies were placed in a special lantern
and thrown as large writing on the screen. Micro-photography has since
then made great strides, and is now widely used for scientific purposes,
one of the most important being the study of the crystalline formations
of metals under different conditions.
THE BIOSCOPE.
"Living pictures" are the most recent improvement in magic-lantern
entertainments. The negatives from which the lantern films are printed
are made by passing a ribbon of sensitized celluloid through a special
form of camera, which feeds the ribbon past the lens in a series of
jerks, an exposure being made automatically by a revolving shutter
during each rest. The positive film is placed in a lantern, and the
intermittent movement is repeated; but now the source of illumination is
behind the film, and light passes outwards through the shutter to the
screen. In the Urban bioscope the film travels at the rate of fifteen
miles an hour, upwards of one hundred exposures being made every second.
The impression of continuous movement arises from the fact that the eye
cannot get rid of a visual impression in less than one-tenth of a
second. So that if a series of impressions follow one another more
rapidly than the eye can rid itself of them the impressions will
overlap, and give one of _motion_, if the position of some of the
objects, or parts of the objects, varies slightly in each succeeding
picture.[25]
THE PLANE MIRROR.
[Illustration: FIG. 131.]
This chapter may conclude with a glance at the common looking-glass. Why
do we see a reflection in it? The answer is given graphically by Fig.
131. Two rays, A _b_, A _c_, from a point A strike the mirror M at the
points _b_ and _c_. Lines _b_ N, _c_ O, drawn from these points
perpendicular to the mirror are called their _normals_. The angles A
_b_ N, A _c_ O are the _angles of incidence_ of rays A _b_, A _c_. The
paths which the rays take after reflection must make angles with _b_ N
and _c_ O respectively equal to A _b_ N, A _c_ O. These are the _angles
of reflection_. If the eye is so situated that the rays enter it as in
our illustration, an image of the point A is seen at the point A^1, in
which the lines D _b_, E _c_ meet when produced backwards.
[Illustration: FIG. 132.]
When the vertical mirror is replaced by a horizontal reflecting surface,
such as a pond (Fig. 132), the same thing happens. The point at which
the ray from the reflection of the spire's tip to the eye appears to
pass through the surface of the water must be so situated that if a line
were drawn perpendicular to it from the surface the angles made by lines
drawn from the real spire tip and from the observer's eye to the base of
the perpendicular would be equal.
[22] Glazebrook, "Light," p. 157.
[23] Glazebrook, "Light," p. 157.
[24] Galileo was severely censured and imprisoned for daring to maintain
that the earth moved round the sun, and revolved on its axis.
[25] For a full account of Animated Pictures the reader might
advantageously consult "The Romance of Modern Invention," pp. 166 foll.
Chapter XIV.
SOUND AND MUSICAL INSTRUMENTS.
Nature of sound--The ear--Musical instruments--The vibration of
strings--The sounding-board and the frame of a piano--The
strings--The striking mechanism--The quality of a note.
Sound differs from light, heat, and electricity in that it can be
propagated through matter only. Sound-waves are matter-waves, not
ether-waves. This can be proved by placing an electric bell under the
bell-glass of an air-pump and exhausting all the air. Ether still
remains inside the glass, but if the bell be set in motion no sound is
audible. Admit air, and the clang of the gong is heard quite plainly.
Sound resembles light and heat, however, thus far, that it can be
concentrated by means of suitable lenses and curved surfaces. An _echo_
is a proof of its _reflection_ from a surface.
Before dealing with the various appliances used for producing
sound-waves of a definite character, let us examine that wonderful
natural apparatus
THE EAR,
through which we receive those sensations which we call sound.
[Illustration: FIG. 133.--Diagrammatic sketch of the parts of the ear.]
Fig. 133 is a purely diagrammatic section of the ear, showing the
various parts distorted and out of proportion. Beginning at the left, we
have the _outer ear_, the lobe, to gather in the sound-waves on to the
membrane of the tympanum, or drum, to which is attached the first of a
series of _ossicles_, or small bones. The last of these presses against
an opening in the _inner ear_, a cavity surrounded by the bones of the
head. Inside the inner ear is a watery fluid, P, called _perilymph_
("surrounding water"), immersed in which is a membranic envelope, M,
containing _endolymph_ ("inside water"), also full of fluid. Into this
fluid project E E E, the terminations of the _auditory nerve_, leading
to the brain.
When sound-waves strike the tympanum, they cause it to move inwards and
outwards in a series of rapid movements. The ossicles operated by the
tympanum press on the little opening O, covered by a membrane, and every
time they push it in they slightly squeeze the perilymph, which in turn
compresses the endolymph, which affects the nerve-ends, and telegraphs a
sensation of sound to the brain.
In Fig. 134 we have a more developed sketch, giving in fuller detail,
though still not in their actual proportions, the components of the ear.
The ossicles M, I, and S are respectively the _malleus_ (hammer),
_incus_ (anvil), and _stapes_ (stirrup). Each is attached by ligaments
to the walls of the middle ear. The tympanum moves the malleus, the
malleus the incus, and the incus the stapes, the last pressing into the
opening O of Fig. 133, which is scientifically known as the _fenestra
ovalis_, or oval window. As liquids are practically incompressible,
nature has made allowance for the squeezing in of the oval window
membrane, by providing a second opening, the round window, also covered
with a membrane. When the stapes pushes the oval membrane in, the round
membrane bulges out, its elasticity sufficing to put a certain pressure
on the perilymph (indicated by the dotted portion of the inner ear).
[Illustration: FIG. 134.--Diagrammatic section of the ear, showing the
various parts.]
The inner ear consists of two main parts, the _cochlea_--so called from
its resemblance in shape to a snail's shell--and the _semicircular
canals_. Each portion has its perilymph and endolymph, and contains a
number of the nerve-ends, which are, however, most numerous in the
cochlea. We do not know for certain what the functions of the canals and
the cochlea are; but it is probable that the former enables us to
distinguish between the _intensity_ or loudness of sounds and the
direction from which they come, while the latter enables us to determine
the _pitch_ of a note. In the cochlea are about 2,800 tiny nerve-ends,
called the _rods of Corti_. The normal ear has such a range as to give
about 33 rods to the semitone. The great scientist Helmholtz has
advanced the theory that these little rods are like tiny tuning-forks,
each responding to a note of a certain pitch; so that when a string of a
piano is sounded and the air vibrations are transmitted to the inner
ear, they affect only one of these rods and the part of the brain which
it serves, and we have the impression of one particular note. It has
been proved by experiment that a very sensitive ear can distinguish
between sounds varying in pitch by only 1/64th of a semitone, or but
half the range of any one Corti fibre. This difficulty Helmholtz gets
over by suggesting that in such an ear two adjacent fibres are affected,
but one more than the other.
A person who has a "good ear" for music is presumably one whose Corti
rods are very perfect. Unlucky people like the gentleman who could only
recognize one tune, and that because people took off their hats when it
commenced, are physically deficient. Their Corti rods cannot be properly
developed.
What applies to one single note applies also to the elements of a
musical chord. A dozen notes may sound simultaneously, but the ear is
able to assimilate each and blend it with its fellows; yet it requires a
very sensitive and well-trained ear to pick out any one part of a
harmony and concentrate the brain's attention on that part.
The ear has a much larger range than the eye. "While the former ranges
over eleven octaves, but little more than a single octave is possible to
the latter. The quickest vibrations which strike the eye, as light, have
only about twice the rapidity of the slowest; whereas the quickest
vibrations which strike the ear, as a musical sound, have more than two
thousand times the rapidity of the slowest."[26] To come to actual
figures, the ordinary ear is sensitive to vibrations ranging from 16 to
38,000 per second. The bottom and top notes of a piano make respectively
about 40 and 4,000 vibrations a second. Of course, some ears, like some
eyes, cannot comprehend the whole scale. The squeak of bats and the
chirrup of crickets are inaudible to some people; and dogs are able to
hear sounds far too shrill to affect the human auditory apparatus.
Not the least interesting part of this wonderful organ is the tympanic
membrane, which is provided with muscles for altering its tension
automatically. If we are "straining our ears" to catch a shrill sound,
we tighten the membrane; while if we are "getting ready" for a deep,
loud report like that of a gun, we allow the drum to slacken.
The _Eustachian tube_ (Fig. 134) communicates with the mouth. Its
function is probably to keep the air-pressure equal on both sides of the
drum. When one catches cold the tube is apt to become blocked by mucus,
causing unequal pressure and consequent partial deafness.
Before leaving this subject, it will be well to remind our more youthful
readers that the ear is delicately as well as wonderfully made, and must
be treated with respect. Sudden shouting into the ear, or a playful
blow, may have most serious effects, by bursting the tympanum or
injuring the arrangement of the tiny bones putting it in communication
with the inner ear.
MUSICAL INSTRUMENTS.
These are contrivances for producing sonorous shocks following each
other rapidly at regular intervals. Musical sounds are distinguished
from mere noises by their regularity. If we shake a number of nails in a
tin box, we get only a series of superimposed and chaotic sensations. On
the other hand, if we strike a tuning-fork, the air is agitated a
certain number of times a second, with a pleasant result which we call a
note.
We will begin our excursion into the region of musical instruments with
an examination of that very familiar piece of furniture,
THE PIANOFORTE,
which means literally the "soft-strong." By many children the piano is
regarded as a great nuisance, the swallower-up of time which could be
much more agreeably occupied, and is accordingly shown much less respect
than is given to a phonograph or a musical-box. Yet the modern piano is
a very clever piece of work, admirably adapted for the production of
sweet melody--if properly handled. The two forms of piano now generally
used are the _upright_, with vertical sound-board and wires, and the
_grand_, with horizontal sound-board.[27]
THE VIBRATION OF STRINGS.
As the pianoforte is a stringed instrument, some attention should be
given to the subject of the vibration of strings. A string in a state of
tension emits a note when plucked and allowed to vibrate freely. The
_pitch_ of the note depends on several conditions:--(1) The diameter of
the string; (2) the tension of the string; (3) the length of the string;
(4) the substance of the string. Taking them in order:--(1.) The number
of vibrations per second is inversely proportional to the diameter of
the string: thus, a string one-quarter of an inch in diameter would
vibrate only half as often in a given time as a string one-eighth of an
inch in diameter. (2.) The length remaining the same, the number of
vibrations is directly proportional to the _square root_ of the
_tension_: thus, a string strained by a 16-lb. weight would vibrate four
times as fast as it would if strained by a 1-lb. weight. (3.) The number
of vibrations is inversely proportional to the _length_ of the string:
thus, a one-foot string would vibrate twice as fast as a two-foot
string, strained to the same tension, and of equal diameter and weight.
(4.) Other things being equal, the rate of vibration is inversely
proportional to the square root of the _density_ of the substance: so
that a steel wire would vibrate more rapidly than a platinum wire of
equal diameter, length, and tension. These facts are important to
remember as the underlying principles of stringed instruments.
Now, if you hang a wire from a cord, and hang a heavy weight from the
wire, the wire will be in a state of high tension, and yield a distinct
note if struck. But the volume of sound will be very small, much too
small for a practical instrument. The surface of the string itself is so
limited that it sets up but feeble motions in the surrounding air. Now
hang the wire from a large board and strike it again. The volume of
sound has greatly increased, because the string has transmitted its
vibrations to the large surface of the board.
To get the full sound-value of the vibrations of a string, we evidently
ought to so mount the string that it may influence a large sounding
surface. In a violin this is effected by straining the strings over a
"bridge" resting on a hollow box made of perfectly elastic wood. Draw
the bow across a string. The loud sound heard proceeds not from the
string only, but also from the whole surface of the box.
THE SOUNDING-BOARD AND FRAME OF A PIANO.
A piano has its strings strained across a _frame_ of wood or steel, from
a row of hooks in the top of the frame to a row of tapering square-ended
pins in the bottom, the wires passing over sharp edges near both ends.
The tuner is able, on turning a pin, to tension its strings till it
gives any desired note. Readers may be interested to learn that the
average tension of a string is 275 lbs., so that the total strain on the
frame of a grand piano is anything between 20 and 30 _tons_.
To the back of the frame is attached the _sounding-board_, made of
spruce fir (the familiar Christmas tree). This is obtained from Central
and Eastern Europe, where it is carefully selected and prepared, as it
is essential that the timber should be sawn in such a way that the grain
of the wood runs in the proper direction.
THE STRINGS.
These are made of extremely strong steel wire of the best quality. If
you examine the wires of your piano, you will see that they vary in
thickness, the thinnest being at the treble end of the frame. It is
found impracticable to use wires of the same gauge and the same tension
throughout. The makers therefore use highly-tensioned thick wires for
the bass, and finer, shorter wires for the treble, taking advantage of
the three factors--weight, tension, and length--which we have noticed
above. The wires for the deepest notes are wrapped round with fine
copper wire to add to their weight without increasing their diameter at
the tuning-pins. There are about 600 yards (roughly one-third of a mile)
of wire in a grand piano.
THE STRIKING MECHANISM.
We now pass to the apparatus for putting the strings in a state of
vibration. The grand piano mechanism shown in Fig. 135 may be taken as
typical of the latest improvements. The essentials of an effective
mechanism are:--(1) That the blow delivered shall be sharp and certain;
(2) that the string shall be immediately "damped," or have its vibration
checked if required, so as not to interfere with the succeeding notes of
other strings; (3) that the hammer shall be able to repeat the blows in
quick succession. The _hammer_ has a head of mahogany covered with
felt, the thickness of which tapers gradually and regularly from an inch
and a quarter at the bass end to three-sixteenths of an inch at the
extreme treble notes. The entire eighty-five hammers for the piano are
covered all together in one piece, and then they are cut apart from
each other. The consistency of the covering is very important. If too
hard, it yields a harsh note, and must be reduced to the right degree by
pricking with a needle. In the diagram the felt is indicated by the
dotted part.
[Illustration: FIG. 135.--The striking mechanism of a "grand" piano.]
The _action carriage_ which operates the hammer is somewhat complicated.
When the key is depressed, the left end rises, and pushes up the whole
carriage, which is pivoted at one end. The hammer shank is raised by the
jack B pressing upon a knob, N, called the _notch_, attached to the
under side of the shank. When the jack has risen to a certain point, its
arm, B^1, catches against the button C and jerks it from under the
notch at the very moment when the hammer strikes, so that it may not be
blocked against the string. As it rebounds, the hammer is caught on the
_repetition lever_ R, which lifts it to allow of perfect repetition.
The _check_ catches the tail of the hammer head during its descent when
the key is raised, and prevents it coming back violently on the carriage
and rest. The tail is curved so as to wedge against the check without
jamming in any way. The moment the carriage begins to rise, the rear end
of the key lifts a lever connected with the _damper_ by a vertical
wire, and raises the damper of the string. If the key is held down, the
vibrations continue for a long time after the blow; but if released at
once, the damper stifles them as the hammer regains its seat. A bar, L,
passing along under all the _damper lifters_, is raised by depressing
the loud pedal. The _soft pedal_ slides the whole keyboard along such a
distance that the hammers strike two only out of the three strings
allotted to all except the bass notes, which have only one string
apiece, or two, according to their depth or length. In some pianos the
soft pedal presses a special damper against the strings; and a third
kind of device moves the hammers nearer the strings so that they deliver
a lighter blow. These two methods of damping are confined to upright
pianos.
A high-class piano is the result of very careful workmanship. The
mechanism of each note must be accurately regulated by its tiny screws
to a minute fraction of an inch. It must be ensured that every hammer
strikes its blow at exactly the right place on the string, since on this
depends the musical value of the note. The adjustment of the dampers
requires equal care, and the whole work calls for a sensitive ear
combined with skilled mechanical knowledge, so that the instrument may
have a light touch, strength, and certainty of action throughout the
whole keyboard.
THE QUALITY OF A NOTE.
If two strings, alike in all respects and equally tensioned, are
plucked, both will give the same note, but both will not necessarily
have the same quality of tone. The quality, or _timbre_, as musicians
call it, is influenced by the presence of _overtones_, or _harmonics_,
in combination with the _fundamental_, or deepest, tone of the string.
The fact is, that while a vibrating string vibrates as a whole, it also
vibrates in parts. There are, as it were, small waves superimposed on
the big fundamental waves. Points of least motion, called _nodes_, form
on the string, dividing it into two, three, four, five, etc., parts,
which may be further divided by subsidiary nodes. The string, considered
as halved by one node, gives the first overtone, or octave of the
fundamental. It may also vibrate as three parts, and give the second
overtone, or twelfth of the fundamental;[28] and as four parts, and give
the third overtone, the double octave.
Now, if a string be struck at a point corresponding to a node, the
overtones which require that point for a node will be killed, on account
of the excessive motion imparted to the string at that spot. Thus to hit
it at the middle kills the octave, the double octave, etc.; while to hit
it at a point one-third of the length from one end stifles the twelfth
and all its sub-multiples.
A fundamental note robbed of all its harmonics is hard to obtain, which
is not a matter for regret, as it is a most uninteresting sound. To get
a rich tone we must keep as many useful harmonics as possible, and
therefore a piano hammer is so placed as to strike the string at a point
which does not interfere with the best harmonics, but kills those which
are objectionable. Pianoforte makers have discovered by experiment that
the most pleasing tone is excited when the point against which the
hammer strikes is one-seventh to one-ninth of the length of the wire
from one end.
The nature of the material which does the actual striking is also of
importance. The harder the substance, and the sharper the blow, the more
prominent do the harmonics become; so that the worker has to regulate
carefully both the duration of the blow and the hardness of the hammer
covering.
[26] Tyndall, "On Sound," p. 75.
[27] A Broadwood "grand" is made up of 10,700 separate pieces, and in
its manufacture forty separate trades are concerned.
[28] Twelve notes higher up the scale.
Chapter XV.
WIND INSTRUMENTS.
Longitudinal vibration--Columns of air--Resonance of columns of
air--Length and tone--The open pipe--The overtones of an open
pipe--Where overtones are used--The arrangement of the pipes and
pedals--Separate sound-boards--Varieties of stops--Tuning pipes and
reeds--The bellows--Electric and pneumatic actions--The largest
organ in the world--Human reeds.
LONGITUDINAL VIBRATION.
In stringed instruments we are concerned only with the transverse
vibrations of a string--that is, its movements in a direction at right
angles to the axis of the string. A string can also vibrate
longitudinally--that is, in the direction of its axis--as may be proved
by drawing a piece of resined leather along a violin string. In this
case the harmonics "step up" at the same rate as when the movements were
transverse.
Let us substitute for a wire a stout bar of metal fixed at one end only.
The longitudinal vibrations of this rod contain overtones of a different
ratio. The first harmonic is not an octave, but a twelfth. While a
tensioned string is divided by nodes into two, three, four, five, six,
etc., parts, a rod fixed at one end only is capable of producing only
those harmonics which correspond to division into three, five, seven,
nine, etc., parts. Therefore a free-end rod and a wire of the same
fundamental note would not have the same _timbre_, or quality, owing to
the difference in the harmonics.
COLUMNS OF AIR.
In wind instruments we employ, instead of rods or wires, columns of air
as the vibrating medium. The note of the column depends on its length.
In the "penny whistle," flute, clarionet, and piccolo the length of the
column is altered by closing or opening apertures in the substance
encircling the column.
RESONANCE OF COLUMNS OF AIR.
Why does a tube closed at one end, such as the shank of a key, emit a
note when we blow across the open end? The act of blowing drives a thin
sheet of air against the edge of the tube and causes it to vibrate. The
vibrations are confused, some "pulses" occurring more frequently than
others. If we blew against the edge of a knife or a piece of wood, we
should hear nothing but a hiss. But when, as in the case which we are
considering, there is a partly-enclosed column of air close to the
pulses, this selects those pulses which correspond to its natural period
of vibration, and augments them to a sustained and very audible musical
sound.
[Illustration: FIG 136.--Showing how the harmonics of a "stopped" pipe
are formed.]
In Fig. 136, _1_ is a pipe, closed at the bottom and open at the top. A
tuning-fork of the same note as the pipe is struck and held over it so
that the prongs vibrate upwards and downwards. At the commencement of an
outward movement of the prongs the air in front of them is _compressed_.
This impulse, imparted to the air in the pipe, runs down the column,
strikes the bottom, and returns. Just as it reaches the top the prong is
beginning to move inwards, causing a _rarefaction_ of the air behind
it. This effect also travels down and back up the column of air in the
pipe, reaching the prong just as it arrives at the furthest point of the
inward motion. The process is repeated, and the column of air in the
pipe, striking on the surrounding atmosphere at regular intervals,
greatly increases the volume of sound. We must observe that if the
tuning-fork were of too high or too low a note for the column of air to
move in perfect sympathy with it, this increase of sound would not
result. Now, when we blow across the end, we present, as it were, a
number of vibrating tuning-forks to the pipe, which picks out those
air-pulses with which it sympathizes.
LENGTH AND TONE.
The rate of vibration is found to be inversely proportional to the
length of the pipe. Thus, the vibrations of a two-foot pipe are twice as
rapid as those of a four-foot pipe, and the note emitted by the former
is an octave higher than that of the latter. A one-foot pipe gives a
note an octave higher still. We are here speaking of the _fundamental_
tones of the pipes. With them, as in the case of strings, are associated
the _overtones_, or harmonics, which can be brought into prominence by
increasing the pressure of the blast at the top of the pipe. Blow very
hard on your key, and the note suddenly changes to one much shriller. It
is the twelfth of the fundamental, of which it has completely got the
upper hand.
We must now put on our thinking-caps and try to understand how this
comes about. First, let us note that the vibration of a body (in this
case a column of air) means a motion from a point of rest to a point of
rest, or from node to node. In the air-column in Fig. 136, _1_, there is
only one point of rest for an impulse--namely, at the bottom of the
pipe. So that to pass from node to node the impulse must pass up the
pipe and down again. The distance from node to node in a vibrating body
is called a _ventral segment_. Remember this term. Therefore the pipe
represents a semi-ventral segment when the fundamental note is sounding.
When the first overtone is sounded the column divides itself into two
vibrating parts. Where will the node between them be? We might naturally
say, "Half-way up." But this cannot be so; for if the node were so
situated, an impulse going down the pipe would only have to travel to
the bottom to find another node, while an impulse going up would have
to travel to the top and back again--that is, go twice as far. So the
node forms itself _one-third_ of the distance down the pipe. From B to A
(Fig. 136, _2_) and back is now equal to from B to C. When the second
overtone is blown (Fig. 136, _3_) a third node forms. The pipe is now
divided into _five_ semi-ventral segments. And with each succeeding
overtone another node and ventral segment are added.
The law of vibration of a column of air is that the number of vibrations
is directly proportional to the number of semi-ventral segments into
which the column of air inside the pipe is divided.[29] If the
fundamental tone gives 100 vibrations per second, the first overtone in
a closed pipe must give 300, and the second 500 vibrations.
THE OPEN PIPE.
A pipe open at both ends is capable of emitting a note. But we shall
find, if we experiment, that the note of a stopped pipe is an octave
lower than that of an open pipe of equal length. This is explained by
Fig. 137, _1_. The air-column in the pipe (of the same length as that in
Fig. 136) divides itself, when an end is blown across, into two equal
portions at the node B, the natural point to obtain equilibrium. A pulse
will pass from A or A^1 to B and back again in half the time required
to pass from A to B and back in Fig. 136, _1_; therefore the note is an
octave higher.
[Illustration: FIG. 137.--Showing how harmonics of an open pipe are
formed, B, B^1, and C are "nodes." The arrows indicate the distance
travelled by a sound impulse from a node to a node.]
THE OVERTONES OF AN OPEN PIPE.
The first overtone results when nodes form as in Fig. 137, _2_, at
points one-quarter of the length of the pipe from the ends, giving one
complete ventral segment and two semi-ventral segments. The vibrations
now are twice as rapid as before. The second overtone requires three
nodes, as in Fig. 137, _3_. The rate has now trebled. So that, while
the overtones of a closed pipe rise in the ratio 1, 3, 5, 7, etc.,
those of an open pipe rise in the proportion 1, 2, 3, 4, etc.
WHERE OVERTONES ARE USED.
In the flute, piccolo, and clarionet, as well as in the horn class of
instrument, the overtones are as important as the fundamental notes. By
artificially altering the length of the column of air, the fundamental
notes are also altered, while the harmonics of each fundamental are
produced at will by varying the blowing pressure; so that a continuous
chromatic, or semitonal, scale is possible throughout the compass of the
instrument.
THE ORGAN.
From the theory of acoustics[30] we pass to the practical application,
and concentrate our attention upon the grandest of all wind instruments,
the pipe organ. This mechanism has a separate pipe for every note,
properly proportioned. A section of an ordinary wooden pipe is given in
Fig. 138. Wind rushes up through the foot of the pipe into a little
chamber, closed by a block of wood or a plate except for a narrow slit,
which directs it against the sharp lip A, and causes a fluttering, the
proper pulse of which is converted by the air-column above into a
musical sound.
[Illustration: FIG. 138.--Section of an ordinary wooden "flue" pipe.]
In even the smallest organs more than one pipe is actuated by one key on
the keyboard, for not only do pipes of different shapes give different
qualities of tone, but it is found desirable to have ranks of pipes with
their bottom note of different pitches. The length of an open pipe is
measured from the edge of the lip to the top of the pipe; of a stopped
pipe, from the lip to the top and back again. When we speak of a 16 or 8
foot rank, or stop, we mean one of which the lowest note in the rank is
that produced by a 16 or 8 foot open pipe, or their stopped equivalents
(8 or 4 foot). In a big organ we find 32, 16, 8, 4, and 2 foot stops,
and some of these repeated a number of times in pipes of different shape
and construction.
THE ARRANGEMENT OF THE PIPES.
We will now study briefly the mechanism of a very simple single-keyboard
organ, with five ranks of pipes, or stops.
[Illustration: FIG. 139.--The table of a sound-board.]
It is necessary to arrange matters so that the pressing down of one key
may make all five of the pipes belonging to it speak, or only four,
three, two, or one, as we may desire. The pipes are mounted in rows on a
_sound-board_, which is built up in several layers. At the top is the
_upper board_; below it come the _sliders_, one for each stop; and
underneath that the _table_. In Fig. 139 we see part of the table from
below. Across the under side are fastened parallel bars with spaces
(shown black) left between them. Two other bars are fastened across the
ends, so that each groove is enclosed by wood at the top and on all
sides. The under side of the table has sheets of leather glued or
otherwise attached to it in such a manner that no air can leak from one
groove to the next. Upper board, sliders, and table are pierced with
rows of holes, to permit the passage of wind from the grooves to the
pipes. The grooves under the big pipes are wider than those under the
small pipes, as they have to pass more air. The bars between the grooves
also vary in width according to the weight of the pipes which they have
to carry. The sliders can be moved in and out a short distance in the
direction of the axis of the rows of pipes. There is one slider under
each row. When a slider is in, the holes in it do not correspond with
those in the table and upper board, so that no wind can get from the
grooves to the rank over that particular slider. Fig. 140 shows the
manner in which the sliders are operated by the little knobs (also
called stops) projecting from the casing of the organ within convenient
reach of the performer's hands. One stop is in, the other drawn out.
[Illustration: FIG. 140.]
In Fig. 141 we see the table, etc., in cross section, with a slider out,
putting the pipes of its rank in communication with the grooves. The
same diagram shows us in section the little triangular _pallets_ which
admit air from the _wind-chest_ to the grooves; and Fig. 142 gives us an
end section of table, sliders, and wind-chest, together with the rods,
etc., connecting the key to its pallet. When the key is depressed, the
_sticker_ (a slight wooden rod) is pushed up. This rocks a _backfall_,
or pivoted lever, to which is attached the _pulldown_, a wire
penetrating the bottom of the wind-chest to the pallet. As soon as the
pallet opens, wind rushes into the groove above through the aperture in
the leather bottom, and thence to any one of the pipes of which the
slider has been drawn out. (The sliders in Fig. 142 are solid black.) It
is evident that if the sound-board is sufficiently deep from back to
front, any number of rows of pipes may be placed on it.
[Illustration: FIG. 141.]
PEDALS.
The organ pedals are connected to the pallets by an action similar to
that of the keys. The pedal stops are generally of deep tone, 32-foot
and 16-foot, as they have to sustain the bass part of the musical
harmonies. By means of _couplers_ one or more of the keyboard stops may
be linked to the pedals.
SEPARATE SOUND-BOARDS.
The keyboard of a very large organ has as many as five _manuals_, or
rows of keys. Each manual operates what is practically a separate organ
mounted on its own sound-board.
[Illustration: FIG. 142.]
[Illustration: FIG. 143.--General section of a two-manual organ.]
The manuals are arranged in steps, each slightly overhanging that
below. Taken in order from the top, they are:--(1.) _Echo organ_, of
stops of small scale and very soft tone, enclosed in a "swell-box." (2.)
_Solo organ_, of stops imitating orchestral instruments. The wonderful
"vox humana" stop also belongs to this manual. (3.) _Swell organ_,
contained in a swell-box, the front and sides of which have shutters
which can be opened and closed by the pressure of the foot on a lever,
so as to regulate the amount of sound proceeding from the pipes inside.
(4.) _Great organ_, including pipes of powerful tone. (5.) _Choir
organ_, of soft, mellow stops, often enclosed in a swell-box. We may add
to these the _pedal organ_, which can be coupled to any but the echo
manual.
VARIETIES OF STOPS.
We have already remarked that the quality of a stop depends on the shape
and construction of the pipe. Some pipes are of wood, others of metal.
Some are rectangular, others circular. Some have parallel sides, others
taper or expand towards the top. Some are open, others stopped.
The two main classes into which organ pipes may be divided are:--(1.)
_Flue_ pipes, in which the wind is directed against a lip, as in Fig.
138. (2.) _Reed_ pipes--that is, pipes used in combination with a
simple device for admitting air into the bottom of the pipe in a series
of gusts. Fig. 144 shows a _striking_ reed, such as is found in the
ordinary motor horn. The elastic metal tongue when at rest stands a very
short distance away from the orifice in the reed. When wind is blown
through the reed the tongue is sucked against the reed, blocks the
current, and springs away again. A _free_ reed has a tongue which
vibrates in a slot without actually touching the sides. Harmonium and
concertina reeds are of this type. In the organ the reed admits air to a
pipe of the correct length to sympathize with the rate of the puffs of
air which the reed passes. Reed pipes expand towards the top.
TUNING PIPES AND REEDS.
[Illustration: FIG. 144.--A reed pipe.]
Pipes are tuned by adjusting their length. The plug at the top of a
stopped pipe is pulled out or pushed in a trifle to flatten or sharpen
the note respectively. An open pipe, if large, has a tongue cut in the
side at the top, which can be pressed inwards or outwards for the
purpose of correcting the tone. Small metal pipes are flattened by
contracting the tops inwards with a metal cone like a
candle-extinguisher placed over the top and tapped; and sharpened by
having the top splayed by a cone pushed in point downwards. Reeds of the
striking variety (see Fig. 144) have a tuning-wire pressing on the
tongue near the fixed end. The end of this wire projects through the
casing. By moving it, the length of the vibrating part of the tongue is
adjusted to correctness.
BELLOWS.
Different stops require different wind-pressures, ranging from 1/10 lb.
to 1 lb. to the square inch, the reeds taking the heaviest pressures.
There must therefore be as many sets of bellows and wind-chests as there
are different pressures wanted. A very large organ consumes immense
quantities of air when all the stops are out, and the pumping has to be
done by a powerful gas, water, or electric engine. Every bellows has a
reservoir (see Fig. 143) above it. The top of this is weighted to give
the pressure required. A valve in the top opens automatically as soon as
the reservoir has expanded to a certain fixed limit, so that there is no
possibility of bursting the leather sides.
[Illustration: FIG. 145.--The keyboard and part of the pneumatic
mechanism of the Hereford Cathedral organ. C, composition pedals for
pushing out groups of stops; P (at bottom), pedals; P P (at top), pipes
carrying compressed air; M, manuals (4); S S, stops.]
ELECTRIC AND PNEUMATIC ACTIONS.
We have mentioned in connection with railway signalling that the
signalman is sometimes relieved of the hard manual labour of moving
signals and points by the employment of electric and pneumatic
auxiliaries. The same is true of organs and organists. The touch of the
keys has been greatly lightened by making the keys open air-valves or
complete electric circuits which actuate the mechanism for pulling down
the pallets. The stops, pedals, and couplers also employ "power." Not
only are the performer's muscles spared a lot of heavy work when
compressed air and electricity aid him, but he is able to have the
_console_, or keyboard, far away from the pipes. "From the console, the
player, sitting with the singers, or in any desirable part of the choir
or chancel, would be able to command the working of the whole of the
largest organ situated afar at the western end of the nave; would draw
each stop in complete reliance on the sliders and the sound-board
fulfilling their office; ... and--marvel of it all--the player, using
the swell pedal in his ordinary manner, would obtain crescendo and
diminuendo with a more perfect effect than by the old way."[31]
In cathedrals it is no uncommon thing for the different sound-boards to
be placed in positions far apart, so that to the uninitiated there may
appear to be several independent organs scattered about. Yet all are
absolutely under the control of a man who is sitting away from them all,
but connected with them by a number of tubes or wires.
The largest organ in the world is that in the Town Hall, Sydney. It has
a hundred and twenty-six speaking stops, five manuals, fourteen
couplers, and forty-six combination studs. The pipes, about 8,000 in
number, range from the enormous 64-foot contra-trombone to some only a
fraction of an inch in length. The organ occupies a space 85 feet long
and 26 feet deep.
HUMAN REEDS.
The most wonderful of all musical reeds is found in the human throat, in
the anatomical part called the _larynx_, situated at the top of the
_trachea_, or windpipe.
Slip a piece of rubber tubing over the end of a pipe, allowing an inch
or so to project. Take the free part of the tube by two opposite points
between the first fingers and thumbs and pull it until the edges are
stretched tight. Now blow through it. The wind, forcing its way between
the two rubber edges, causes them and the air inside the tube to
vibrate, and a musical note results. The more you strain the rubber the
higher is the note.
The larynx works on this principle. The windpipe takes the place of the
glass pipe; the two vocal cords represent the rubber edges; and the
_arytenoid muscles_ stand instead of the hands. When contracted, these
muscles bring the edges of the cords nearer to one another, stretch the
cords, and shorten the cords. A person gifted with a "very good ear"
can, it has been calculated, adjust the length of the vocal cords to
1/17000th of an inch!
Simultaneously with the adjustment of the cords is effected the
adjustment of the length of the windpipe, so that the column of air in
it may be of the right length to vibrate in unison. Here again is seen a
wonderful provision of nature.
The resonance of the mouth cavity is also of great importance. By
altering the shape of the mouth the various harmonics of any fundamental
note produced by the larynx are rendered prominent, and so we get the
different vocal sounds. Helmholtz has shown that the fundamental tone of
any note is represented by the sound _oo_. If the mouth is adjusted to
bring out the octave of the fundamental, _o_ results. _a_ is produced by
accentuating the second harmonic, the twelfth; _ee_ by developing the
second and fourth harmonics; while for _ah_ the fifth and seventh must
be prominent.
When we whistle we transform the lips into a reed and the mouth into a
pipe. The tension of the lips and the shape of the mouth cavity decide
the note. The lips are also used as a reed for blowing the flute,
piccolo, and all the brass band instruments of the cornet order. In
blowing a coach-horn the various harmonics of the fundamental note are
brought out by altering the lip tension and the wind pressure. A cornet
is practically a coach-horn rolled up into a convenient shape and
furnished with three keys, the depression of which puts extra lengths of
tubing in connection with the main tube--in fact, makes it longer. One
key lowers the fundamental note of the horn half a tone; the second, a
full tone; the third, a tone and a half. If the first and third are
pressed down together, the note sinks two tones; if the second and
third, two and a half tones; and simultaneous depression of all three
gives a drop of three tones. The performer thus has seven possible
fundamental notes, and several harmonics of each of these at his
command; so that by a proper manipulation of the keys he can run up the
chromatic scale.
We should add that the cornet tube is an "open" pipe. So is that of the
flute. The clarionet is a "stopped" pipe.
[29] It is obvious that in Fig. 136, _2_, a pulse will pass from A to B
and back in one-third the time required for it to pass from A to B and
back in Fig. 136, _1_.
[30] The science of hearing; from the Greek verb, [Greek: akouein], "to
hear."
[31] "Organs and Tuning," p. 245.
Chapter XVI.
TALKING-MACHINES.
The phonograph--The recorder--The reproducer--The gramophone--The
making of records--Cylinder records--Gramophone records.
In the Patent Office Museum at South Kensington is a curious little
piece of machinery--a metal cylinder mounted on a long axle, which has
at one end a screw thread chased along it. The screw end rotates in a
socket with a thread of equal pitch cut in it. To the other end is
attached a handle. On an upright near the cylinder is mounted a sort of
drum. The membrane of the drum carries a needle, which, when the
membrane is agitated by the air-waves set up by human speech, digs into
a sheet of tinfoil wrapped round the cylinder, pressing it into a
helical groove turned on the cylinder from end to end. This construction
is the first phonograph ever made. Thomas Edison, the "wizard of the
West," devised it in 1876; and from this rude parent have descended the
beautiful machines which record and reproduce human speech and musical
sounds with startling accuracy.
[Illustration: FIG. 146.--The "governor" of a phonograph.]
We do not propose to trace here the development of the talking-machine;
nor will it be necessary to describe in detail its mechanism, which is
probably well known to most readers, or could be mastered in a very
short time on personal examination. We will content ourselves with
saying that the wax cylinder of the phonograph, or the ebonite disc of
the gramophone, is generally rotated by clockwork concealed in the body
of the machine. The speed of rotation has to be very carefully governed,
in order that the record may revolve under the reproducing point at a
uniform speed. The principle of the governor commonly used appears in
Fig. 146. The last pinion of the clockwork train is mounted on a shaft
carrying two triangular plates, A and C, to which are attached three
short lengths of flat steel spring with a heavy ball attached to the
centre of each. A is fixed; C moves up the shaft as the balls fly out,
and pulls with it the disc D, which rubs against the pad P (on the end
of a spring) and sets up sufficient friction to slow the clockwork. The
limit rate is regulated by screw S.
THE PHONOGRAPH.
Though the recording and reproducing apparatus of a phonograph gives
very wonderful results, its construction is quite simple. At the same
time, it must be borne in mind that an immense amount of experimenting
has been devoted to finding out the most suitable materials and forms
for the parts.
[Illustration: FIG. 147.--Section of an Edison Bell phonograph
recorder.]
The _recorder_ (Fig. 147) is a little circular box about one and a half
inches in diameter.[32] From the top a tube leads to the horn. The
bottom is a circular plate, C C, hinged at one side. This plate supports
a glass disc, D, about 1/150th of an inch thick, to which is attached
the cutting stylus--a tiny sapphire rod with a cup-shaped end having
very sharp edges. Sound-waves enter the box through the horn tube; but
instead of being allowed to fill the whole box, they are concentrated by
the shifting nozzle N on to the centre of the glass disc through the
hole in C C. You will notice that N has a ball end, and C C a socket to
fit N exactly, so that, though C C and N move up and down very rapidly,
they still make perfect contact. The disc is vibrated by the
sound-impulses, and drives the cutting point down into the surface of
the wax cylinder, turning below it in a clockwork direction. The only
dead weight pressing on S is that of N, C C, and the glass diaphragm.
[Illustration: FIG. 148.--Perspective view of a phonograph recorder.]
As the cylinder revolves, the recorder is shifted continuously along by
a leading screw having one hundred or more threads to the inch cut on
it, so that it traces a continuous helical groove from one end of the
wax cylinder to the other. This groove is really a series of very minute
indentations, not exceeding 1/1000th of an inch in depth.[33] Seen under
a microscope, the surface of the record is a succession of hills and
valleys, some much larger than others (Fig. 151, _a_). A loud sound
causes the stylus to give a vigorous dig, while low sounds scarcely move
it at all. The wonderful thing about this sound-recording is, that not
only are the fundamental tones of musical notes impressed, but also the
harmonics, which enable us to decide at once whether the record is one
of a cornet, violin, or banjo performance. Furthermore, if several
instruments are playing simultaneously near the recorder's horn, the
stylus catches all the different shades of tone of every note of a
chord. There are, so to speak, minor hills and valleys cut in the slopes
of the main hills and valleys.
[Illustration: FIG. 149.--Section of the reproducer of an Edison Bell
phonograph.]
[Illustration: FIG. 150.--Perspective view of a phonograph reproducer.]
The _reproducer_ (Fig. 149) is somewhat more complicated than the
recorder. As before, we have a circular box communicating with the horn
of the instrument. A thin glass disc forms a bottom to the box. It is
held in position between rubber rings, R R, by a screw collar, C. To the
centre is attached a little eye, from which hangs a link, L. Pivoted at
P from one edge of the box is a _floating weight_, having a circular
opening immediately under the eye. The link passes through this to the
left end of a tiny lever, which rocks on a pivot projecting from the
weight. To the right end of the lever is affixed a sapphire bar, or
stylus, with a ball end of a diameter equal to that of the cutting point
of the recorder. The floating weight presses the stylus against the
record, and also keeps the link between the rocking lever of the glass
diaphragm in a state of tension. Every blow given to the stylus is
therefore transmitted by the link to the diaphragm, which vibrates and
sends an air-impulse into the horn. As the impulses are given at the
same rate as those which agitated the diaphragm of the recorder, the
sounds which they represent are accurately reproduced, even to the
harmonics of a musical note.
THE GRAMOPHONE.
This effects the same purpose as the phonograph, but in a somewhat
different manner. The phonograph recorder digs vertically downwards into
the surface of the record, whereas the stylus of the gramophone wags
from side to side and describes a snaky course (Fig. 151_b_). It makes
no difference in talking-machines whether the reproducing stylus be
moved sideways or vertically by the record, provided that motion is
imparted by it to the diaphragm.
[Illustration: FIG. 151_a._]
[Illustration: FIG. 151_b._]
[Illustration: FIG. 151_c._--Section of a gramophone reproducer.]
In Fig. 151_c_ the construction of the gramophone reproducer is shown in
section. A is the cover which screws on to the bottom B, and confines
the diaphragm D between itself and a rubber ring. The portion B is
elongated into a tubular shape for connection with the horn, an arm of
which slides over the tube and presses against the rubber ring C to make
an air-tight joint. The needle-carrier N is attached at its upper end to
the centre of the diaphragm. At a point indicated by the white dot a pin
passes through it and the cover. The lower end is tubular to accommodate
the steel points, which have to be replaced after passing once over a
record. A screw, S, working in a socket projecting from the carrier,
holds the point fast. The record moves horizontally under the point in a
plane perpendicular to the page. The groove being zigzag, the needle
vibrates right and left, and rotating the carrier a minute fraction of
an inch on the pivot, shakes the glass diaphragm and sends waves of air
into the horn.
The gramophone is a reproducing instrument only. The records are made on
a special machine, fitted with a device for causing the recorder point
to describe a spiral course from the circumference to the centre of the
record disc. Some gramophone records have as many as 250 turns to the
inch. The total length of the tracing on a ten-inch "concert" record is
about 1,000 feet.
THE MAKING OF RECORDS.
For commercial purposes it would not pay to make every record separately
in a recording machine. The expense of employing good singers and
instrumentalists renders such a method impracticable. All the records we
buy are made from moulds, the preparation of which we will now briefly
describe.
CYLINDER, OR PHONOGRAPH RECORDS.
First of all, a wax record is made in the ordinary way on a recording
machine. After being tested and approved, it is hung vertically and
centrally from a rotating table pivoted on a vertical metal spike
passing up through the record. On one side of the table is a piece of
iron. On each side of the record, and a small distance away, rises a
brass rod enclosed in a glass tube. The top of the rods are hooked, so
that pieces of gold leaf may be suspended from them. A bell-glass is now
placed over the record, table, and rods, and the air is sucked out by a
pump. As soon as a good vacuum has been obtained, the current from the
secondary circuit of an induction coil is sent into the rods supporting
the gold leaves, which are volatilized by the current jumping from one
to the other. A magnet, whirled outside the bell-glass, draws round the
iron armature on the pivoted table, and consequently revolves the
record, on the surface of which a very thin coating of gold is
deposited. The record is next placed in an electroplating bath until a
copper shell one-sixteenth of an inch thick has formed all over the
outside. This is trued up on a lathe and encased in a brass tube. The
"master," or original wax record, is removed by cooling it till it
contracts sufficiently to fall out of the copper mould, on the inside
surface of which are reproduced, in relief, the indentations of the wax
"master."
Copies are made from the mould by immersing it in a tank of melted wax.
The cold metal chills the wax that touches it, so that the mould soon
has a thick waxen lining. The mould and copy are removed from the tank
and mounted on a lathe, which shapes and smooths the inside of the
record. The record is loosened from the mould by cooling. After
inspection for flaws, it is, if found satisfactory, packed in
cotton-wool and added to the saleable stock.
Gramophone master records are made on a circular disc of zinc, coated
over with a very thin film of acid-proof fat. When the disc is revolved
in the recording machine, the sharp stylus cuts through the fat and
exposes the zinc beneath. On immersion in a bath of chromic acid the
bared surfaces are bitten into, while the unexposed parts remain
unaffected. When the etching is considered complete, the plate is
carefully cleaned and tested. A negative copper copy is made from it by
electrotyping. This constitutes the mould. From it as many as 1,000
copies may be made on ebonite plates by combined pressure and heating.
[32] The Edison Bell phonograph is here referred to.
[33] Some of the sibilant or hissing sounds of the voice are computed to
be represented by depressions less than a millionth of an inch in depth.
Yet these are reproduced very clearly!
Chapter XVII.
WHY THE WIND BLOWS.
Why the wind blows--Land and sea breezes--Light air and
moisture--The barometer--The column barometer--The wheel
barometer--A very simple barometer--The aneroid
barometer--Barometers and weather--The diving-bell--The
diving-dress--Air-pumps--Pneumatic tyres--The air-gun--The
self-closing door-stop--The action of wind on oblique surfaces--The
balloon--The flying-machine.
When a child's rubber ball gets slack through a slight leakage of air,
and loses some of its bounce, it is a common practice to hold it for a
few minutes in front of the fire till it becomes temporarily taut again.
Why does the heat have this effect on the ball? No more air has been
forced into the ball. After perusing the chapter on the steam-engine the
reader will be able to supply the answer. "Because the molecules of air
dash about more vigorously among one another when the air is heated, and
by striking the inside of the ball with greater force put it in a state
of greater tension."
If we heat an open jar there is no pressure developed, since the air
simply expands and flows out of the neck. But the air that remains in
the jar, being less in quantity than when it was not yet heated, weighs
less, though occupying the same space as before. If we took a very thin
bladder and filled it with hot air it would therefore float in colder
air, proving that heated air, as we should expect, _tends to rise_. The
fire-balloon employs this principle, the air inside the bag being kept
artificially warm by a fire burning in some vessel attached below the
open neck of the bag.
Now, the sun shines with different degrees of heating power at different
parts of the world. Where its effect is greatest the air there is
hottest. We will suppose, for the sake of argument, that, at a certain
moment, the air envelope all round the globe is of equal temperature.
Suddenly the sun shines out and heats the air at a point, A, till it is
many degrees warmer than the surrounding air. The heated air expands,
rises, and spreads out above the cold air. But, as a given depth of warm
air has less weight than an equal depth of cold air, the cold air at
once begins to rush towards B and squeeze the rest of the warm air out.
We may therefore picture the atmosphere as made up of a number of
colder currents passing along the surface of the earth to replace warm
currents rising and spreading over the upper surface of the cold air. A
similar circulation takes place in a vessel of heated water (see p. 17).
LAND AND SEA BREEZES.
A breeze which blows from the sea on to the land during the day often
reverses its direction during the evening. Why is this? The earth grows
hot or cold more rapidly than the sea. When the sun shines hotly, the
land warms quickly and heats the air over it, which becomes light, and
is displaced by the cooler air over the sea. When the sun sets, the
earth and the air over it lose their warmth quickly, while the sea
remains at practically the same temperature as before. So the balance is
changed, the heavier air now lying over the land. It therefore flows
seawards, and drives out the warmer air there.
LIGHT AIR AND MOISTURE.
Light, warm air absorbs moisture. As it cools, the moisture in it
condenses. Breathe on a plate, and you notice that a watery film forms
on it at once. The cold surface condenses the water suspended in the
warm breath. If you wish to dry a damp room you heat it. Moisture then
passes from the walls and objects in the room to the atmosphere.
THE BAROMETER.
This property of air is responsible for the changes in weather. Light,
moisture-laden air meets cold, dry air, and the sudden cooling forces it
to release its moisture, which falls as rain, or floats about as clouds.
If only we are able to detect the presence of warm air-strata above us,
we ought to be in a position to foretell the weather.
We can judge of the specific gravity of the air in our neighbourhood by
means of the barometer, which means "weight-measurer." The normal
air-pressure at sea-level on our bodies or any other objects is about 15
lbs. to the square inch--that is to say, if you could imprison and weigh
a column of air one inch square in section and of the height of the
world's atmospheric envelope, the scale would register 15 lbs. Many
years ago (1643) Torricelli, a pupil of Galileo, first calculated the
pressure by a very simple experiment. He took a long glass tube sealed
at one end, filled it with mercury, and, closing the open end with the
thumb, inverted the tube and plunged the open end below the surface of a
tank of mercury. On removing his thumb he found that the mercury sank in
the tube till the surface of the mercury in the tube was about 30 inches
in a vertical direction above the surface of the mercury in the tank.
Now, as the upper end was sealed, there must be a vacuum _above_ the
mercury. What supported the column? The atmosphere. So it was evident
that the downward pressure of the mercury exactly counterbalanced the
upward pressure of the air. As a mercury column 30 inches high and 1
inch square weighs 15 lbs., the air-pressure on a square inch obviously
is the same.
[Illustration: FIG. 152.--A Fortin barometer.]
FORTIN'S COLUMN BAROMETER
is a simple Torricellian tube, T, with the lower end submerged in a
little glass tank of mercury (Fig. 152). The bottom of this tank is made
of washleather. To obtain a "reading" the screw S, pressing on the
washleather, is adjusted until the mercury in the tank rises to the tip
of the little ivory point P. The reading is the figure of the scale on
the face of the case opposite which the surface of the column stands.
[Illustration: FIG. 153.]
THE WHEEL BAROMETER
also employs the mercury column (Fig. 153). The lower end of the tube is
turned up and expanded to form a tank, C. The pointer P, which travels
round a graduated dial, is mounted on a spindle carrying a pulley, over
which passes a string with a weight at each end. The heavier of the
weights rests on the top of the mercury. When the atmospheric pressure
falls, the mercury in C rises, lifting this weight, and the pointer
moves. This form of barometer is not so delicate or reliable as
Fortin's, or as the siphon barometer, which has a tube of the same shape
as the wheel instrument, but of the same diameter from end to end
except for a contraction at the bend. The reading of a siphon is the
distance between the two surfaces of the mercury.
A VERY SIMPLE BAROMETER
is made by knocking off the neck of a small bottle, filling the body
with water, and hanging it up by a string in the position shown (Fig.
154). When the atmospheric pressure falls, the water at the orifice
bulges outwards; when it rises, the water retreats till its surface is
slightly concave.
[Illustration: FIG. 154.]
THE ANEROID BAROMETER.
On account of their size and weight, and the comparative difficulty of
transporting them without derangement of the mercury column, column
barometers are not so generally used as the aneroid variety. Aneroid
means "without moisture," and in this particular connection signifies
that no liquid is used in the construction of the barometer.
Fig. 155 shows an aneroid in detail. The most noticeable feature is the
vacuum chamber, V C, a circular box which has a top and bottom of
corrugated but thin and elastic metal. Sections of the box are shown in
Figs. 156, 157. It is attached at the bottom to the base board of the
instrument by a screw (Fig. 156). From the top rises a pin, P, with a
transverse hole through it to accommodate the pin K E, which has a
triangular section, and stands on one edge.
[Illustration: FIG. 155.--An aneroid barometer.]
Returning to Fig. 155, we see that P projects through S, a powerful
spring of sheet-steel. To this is attached a long arm, C, the free end
of which moves a link rotating, through the pin E, a spindle mounted in
a frame, D. The spindle moves arm F. This pulls on a very minute chain
wound round the pointer spindle B, in opposition to a hairspring, H S. B
is mounted on arm H, which is quite independent of the rest of the
aneroid.
[Illustration: FIG. 156. FIG. 157. The vacuum chamber of an aneroid
barometer extended and compressed.]
The vacuum chamber is exhausted during manufacture and sealed. It would
naturally assume the shape of Fig. 157, but the spring S, acting against
the atmospheric pressure, pulls it out. As the pressure varies, so does
the spring rise or sink; and the slightest movement is transmitted
through the multiplying arms C, E, F, to the pointer.
A good aneroid is so delicate that it will register the difference in
pressure caused by raising it from the floor to the table, where it has
a couple of feet less of air-column resting upon it. An aneroid is
therefore a valuable help to mountaineers for determining their altitude
above sea-level.
BAROMETERS AND WEATHER.
We may now return to the consideration of forecasting the weather by
movements of the barometer. The first thing to keep in mind is, that the
instrument is essentially a _weight_ recorder. How is weather connected
with atmospheric weight?
In England the warm south-west wind generally brings wet weather, the
north and east winds fine weather; the reason for this being that the
first reaches us after passing over the Atlantic and picking up a
quantity of moisture, while the second and third have come overland and
deposited their moisture before reaching us.
A sinking of the barometer heralds the approach of heated air--that is,
moist air--which on meeting colder air sheds its moisture. So when the
mercury falls we expect rain. On the other hand, when the "glass" rises,
we know that colder air is coming, and as colder air comes from a dry
quarter we anticipate fine weather. It does not follow that the same
conditions are found in all parts of the world. In regions which have
the ocean to the east or the north, the winds blowing thence would be
the rainy winds, while south-westerly winds might bring hot and dry
weather.
THE DIVING-BELL.
Water is nearly 773 times as heavy as air. If we submerge a barometer a
very little way below the surface of a water tank, we shall at once
observe a rise of the mercury column. At a depth of 34 feet the pressure
on any submerged object is 15 lbs. to the square inch, in addition to
the atmospheric pressure of 15 lbs. per square inch--that is, there
would be a 30-lb. _absolute_ pressure. As a rule, when speaking of
hydraulic pressures, we start with the normal atmospheric pressure as
zero, and we will here observe the practice.
[Illustration: FIG. 158.--A diving bell.]
The diving-bell is used to enable people to work under water without
having recourse to the diving-dress. A sketch of an ordinary
diving-bell is given in Fig. 158. It may be described as a square iron
box without a bottom. At the top are links by which it is attached to a
lowering chain, and windows, protected by grids; also a nozzle for the
air-tube.
[Illustration: FIG. 159.]
A simple model bell (Fig. 159) is easily made out of a glass tumbler
which has had a tap fitted in a hole drilled through the bottom. We turn
off the tap and plunge the glass into a vessel of water. The water rises
a certain way up the interior, until the air within has been compressed
to a pressure equal to that of the water at the level of the surface
inside. The further the tumbler is lowered, the higher does the water
rise inside it.
Evidently men could not work in a diving-bell which is invaded thus by
water. It is imperative to keep the water at bay. This we can do by
attaching a tube to the tap (Fig. 160) and blowing into the tumbler till
the air-pressure exceeds that of the water, which is shown by bubbles
rising to the surface. The diving-bell therefore has attached to it a
hose through which air is forced by pumps from the atmosphere above, at
a pressure sufficient to keep the water out of the bell. This pumping of
air also maintains a fresh supply of oxygen for the workers.
[Illustration: FIG. 160.]
Inside the bell is tackle for grappling any object that has to be moved,
such as a heavy stone block. The diving-bell is used mostly for laying
submarine masonry. "The bell, slung either from a crane on the masonry
already built above sea-level, or from a specially fitted barge, comes
into action. The block is lowered by its own crane on to the bottom. The
bell descends upon it, and the crew seize it with tackle suspended
inside the bell. Instructions are sent up as to the direction in which
the bell should be moved with its burden, and as soon as the exact spot
has been reached the signal for lowering is given, and the stone settles
on to the cement laid ready for it."[34]
For many purposes it is necessary that the worker should have more
freedom of action than is possible when he is cooped up inside an iron
box. Hence the invention of the
DIVING-DRESS,
which consists of two main parts, the helmet and the dress proper. The
helmet (Fig. 161) is made of copper. A breastplate, B, shaped to fit the
shoulders, has at the neck a segmental screw bayonet-joint. The
headpiece is fitted with a corresponding screw, which can be attached or
removed by one-eighth of a turn. The neck edge of the dress, which is
made in one piece, legs, arms, body and all, is attached to the
breastplate by means of the plate P^1, screwed down tightly on it by
the wing-nuts N N, the bolts of which pass through the breastplate. Air
enters the helmet through a valve situated at the back, and is led
through tubes along the inside to the front. This valve closes
automatically if any accident cuts off the air supply, and encloses
sufficient air in the dress to allow the diver to regain the surface.
The outlet valve O V can be adjusted by the diver to maintain any
pressure. At the sides of the headpiece are two hooks, H, over which
pass the cords connecting the heavy lead weights of 40 lbs. each hanging
on the diver's breast and back. These weights are also attached to the
knobs K K. A pair of boots, having 17 lbs. of lead each in the soles,
complete the dress. Three glazed windows are placed in the headpiece,
that in the front, R W, being removable, so that the diver may gain free
access to the air when he is above water without being obliged to take
off the helmet.
[Illustration: FIG. 161.--A diver's helmet.]
By means of telephone wires built into the life-line (which passes
under the diver's arms and is used for lowering and hoisting) easy
communication is established between the diver and his attendants above.
The transmitter of the telephone is placed inside the helmet between the
front and a side window, the receiver and the button of an electric bell
in the crown. This last he can press by raising his head. The life-line
sometimes also includes the wires for an electric lamp (Fig. 162) used
by the diver at depths to which daylight cannot penetrate.
The pressure on a diver's body increases in the ratio of 4-1/3 lbs. per
square inch for every 10 feet that he descends. The ordinary working
limit is about 150 feet, though "old hands" are able to stand greater
pressures. The record is held by one James Hooper, who, when removing
the cargo of the _Cape Horn_ sunk off the South American coast, made
seven descents of 201 feet, one of which lasted for forty-two minutes.
[Illustration: FIG. 162.--Diver's electric lamp.]
A sketch is given (Fig. 163) of divers working below water with
pneumatic tools, fed from above with high-pressure air. Owing to his
buoyancy a diver has little depressing or pushing power, and he cannot
bore a hole in a post with an auger unless he is able to rest his back
against some firm object, or is roped to the post. Pneumatic chipping
tools merely require holding to their work, their weight offering
sufficient resistance to the very rapid blows which they make.
[Illustration: FIG. 163.--Divers at work below water with pneumatic
tools.]
AIR-PUMPS.
[Illustration: FIG. 164.]
[Illustration: FIG. 165.]
Mention having been made of the air-pump, we append diagrams (Figs. 164,
165) of the simplest form of air-pump, the cycle tyre inflator. The
piston is composed of two circular plates of smaller diameter than the
barrel, holding between them a cup leather. During the upstroke the cup
collapses inwards and allows air to pass by it. On the downstroke (Fig.
165) the edges of the cup expand against the barrel, preventing the
passage of air round the piston. A double-action air-pump requires a
long, well-fitting piston with a cup on each side of it, and the
addition of extra valves to the barrel, as the cups under these
circumstances cannot act as valves.
PNEUMATIC TYRES.
[Illustration: FIG. 166.]
[Illustration: FIG. 167.]
The action of the pneumatic tyre in reducing vibration and increasing
the speed of a vehicle is explained by Figs. 166, 167. When the tyre
encounters an obstacle, such as a large stone, it laps over it (Fig.
166), and while supporting the weight on the wheel, reduces the
deflection of the direction of movement. When an iron-tyred wheel meets
a similar obstacle it has to rise right over it, often jumping a
considerable distance into the air. The resultant motions of the wheel
are indicated in each case by an arrow. Every change of direction means
a loss of forward velocity, the loss increasing with the violence and
extent of the change. The pneumatic tyre also scores because, on account
of its elasticity, it gives a "kick off" against the obstacle, which
compensates for the resistance during compression.
[Illustration: FIG. 168.--Section of the mechanism of an air-gun.]
THE AIR-GUN.
This may be described as a valveless air-pump. Fig. 168 is a section of
a "Gem" air-gun, with the mechanism set ready for firing. In the stock
of the gun is the _cylinder_, in which an accurately fitting and hollow
_piston_ moves. A powerful helical spring, turned out of a solid bar of
steel, is compressed between the inside end of the piston and the upper
end of the butt. To set the gun, the _catch_ is pressed down so that its
hooked end disengages from the stock, and the barrel is bent downwards
on pivot P. This slides the lower end of the _compressing lever_ towards
the butt, and a projection on the guide B, working in a groove, takes
the piston with it. When the spring has been fully compressed, the
triangular tip of the rocking cam R engages with a groove in the
piston's head, and prevents recoil when the barrel is returned to its
original position. On pulling the trigger, the piston is released and
flies up the cylinder with great force, and the air in the cylinder is
compressed and driven through the bore of the barrel, blocked by the
leaden slug, to which the whole energy of the expanding spring is
transmitted through the elastic medium of the air.
There are several other good types of air-gun, all of which employ the
principles described above.
THE SELF-CLOSING DOOR-STOP
is another interesting pneumatic device. It consists of a cylinder with
an air-tight piston, and a piston rod working through a cover at one
end. The other end of the cylinder is pivoted to the door frame. When
the door is opened the piston compresses a spring in the cylinder, and
air is admitted past a cup leather on the piston to the upper part of
the cylinder. This air is confined by the cup leather when the door is
released, and escapes slowly through a leak, allowing the spring to
regain its shape slowly, and by the agency of the piston rod to close
the door.
THE ACTION OF WIND ON OBLIQUE SURFACES.
Why does a kite rise? Why does a boat sail across the wind? We can
supply an answer almost instinctively in both cases, "Because the wind
pushes the kite or sail aside." It will, however, be worth while to look
for a more scientific answer. The kite cannot travel in the direction of
the wind because it is confined by a string. But the face is so attached
to the string that it inclines at an angle to the direction of the wind.
Now, when a force meets an inclined surface which it cannot carry along
with it, but which is free to travel in another direction, the force may
be regarded as resolving itself into _two_ forces, coming from each side
of the original line. These are called the _component_ forces.
[Illustration: FIG. 169.]
To explain this we give a simple sketch of a kite in the act of flying
(Fig. 169). The wind is blowing in the direction of the solid arrow A.
The oblique surface of the kite resolves its force into the two
components indicated by the dotted arrows B and C. Of these C only has
lifting power to overcome the force of gravity. The kite assumes a
position in which force C and gravity counterbalance one another.
[Illustration: FIG. 170.]
A boat sailing across the wind is acted on in a similar manner (Fig.
170). The wind strikes the sail obliquely, and would thrust it to
leeward were it not for the opposition of the water. The force A is
resolved into forces B and C, of which C propels the boat on the line of
its axis. The boat can be made to sail even "up" the wind, her head
being brought round until a point is reached at which the force B on the
boat, masts, etc., overcomes the force C. The capability of a boat for
sailing up wind depends on her "lines" and the amount of surface she
offers to the wind.
THE BALLOON
is a pear-shaped bag--usually made of silk--filled with some gas lighter
than air. The tendency of a heavier medium to displace a lighter drives
the gas upwards, and with it the bag and the wicker-work car attached to
a network encasing the bag. The tapering neck at the lower end is open,
to permit the free escape of gas as the atmospheric pressure outside
diminishes with increasing elevation. At the top of the bag is a wooden
valve opening inwards, which can be drawn down by a rope passing up to
it through the neck whenever the aeronaut wishes to let gas escape for a
descent. He is able to cause a very rapid escape by pulling another cord
depending from a "ripping piece" near the top of the bag. In case of
emergency this is torn away bodily, leaving a large hole. The ballast
(usually sand) carried enables him to maintain a state of equilibrium
between the upward pull of the gas and the downward pull of gravity. To
sink he lets out gas, to rise he throws out ballast; and this process
can be repeated until the ballast is exhausted. The greatest height ever
attained by aeronauts is the 7-1/4 miles, or 37,000 feet, of Messrs.
Glaisher and Coxwell on September 5, 1862. The ascent nearly cost them
their lives, for at an elevation of about 30,000 feet they were partly
paralyzed by the rarefaction of the air, and had not Mr. Coxwell been
able to pull the valve rope with his teeth and cause a descent, both
would have died from want of air.
[Illustration: FIG. 171.]
The _flying-machine_, which scientific engineers have so long been
trying to produce, will probably be quite independent of balloons, and
will depend for its ascensive powers on the action of air on oblique
surfaces. Sir Hiram Maxim's experimental air-ship embodied the
principles shown by Fig. 171. On a deck was mounted an engine, E,
extremely powerful for its weight. This drove large propellers, S S.
Large aeroplanes, of canvas stretched over light frameworks, were set up
overhead, the forward end somewhat higher than the rear. The machine was
run on rails so arranged as to prevent it rising. Unfortunately an
accident happened at the first trial and destroyed the machine.
In actual flight it would be necessary to have a vertical rudder for
altering the horizontal direction, and a horizontal "tail" for steering
up or down. The principle of an aeroplane is that of the kite, with this
difference, that, instead of moving air striking a captive body, a
moving body is propelled against more or less stationary air. The
resolution of forces is shown by the arrows as before.
Up to the present time no practical flying-machine has appeared. But
experimenters are hard at work examining the conditions which must be
fulfilled to enable man to claim the "dominion of the air."
[34] The "Romance of Modern Mechanism," p. 243
Chapter XVIII.
HYDRAULIC MACHINERY.
The siphon--The bucket pump--The force-pump--The most marvellous
pump--The blood channels--The course of the blood--The hydraulic
press--Household water-supply fittings--The ball-cock--The
water-meter--Water-supply systems--The household filter--Gas
traps--Water engines--The cream separator--The "hydro."
In the last chapter we saw that the pressure of the atmosphere is 15
lbs. to the square inch. Suppose that to a very long tube having a
sectional area of one square inch we fit an air-tight piston (Fig. 172),
and place the lower end of the tube in a vessel of water. On raising the
piston a vacuum would be created in the tube, did not the pressure of
the atmosphere force water up into the tube behind the piston. The water
would continue to rise until it reached a point 34 feet perpendicularly
above the level of the water in the vessel. The column would then weigh
15 lbs., and exactly counterbalance the atmospheric pressure; so that a
further raising of the piston would not raise the water any farther. At
sea-level, therefore, the _lifting_ power of a pump by suction is
limited to 34 feet. On the top of a lofty mountain, where the
air-pressure is less, the height of the column would be diminished--in
fact, be proportional to the pressure.
[Illustration: FIG. 172.]
[Illustration: FIG. 173.]
THE SIPHON
is an interesting application of the principle of suction. By its own
weight water may be made to lift water through a height not exceeding 34
feet. This is explained by Fig. 173. The siphon pipe, A B C D, is in the
first instance filled by suction. The weight of the water between A and
B counter-balances that between B and C. But the column C D hangs, as it
were, to the heels of B C, and draws it down. Or, to put it otherwise,
the column B D, being heavier than the column B A, draws it over the
topmost point of the siphon. Any parting between the columns, provided
that B A does not exceed 34 feet, is impossible, as the pressure of the
atmosphere on the mouth of B A is sufficient to prevent the formation of
a vacuum.
THE BUCKET PUMP.
We may now pass to the commonest form of pump used in houses, stables,
gardens, etc. (Fig. 174). The piston has a large hole through it, over
the top of which a valve is hinged. At the bottom of the barrel is a
second valve, also opening upwards, seated on the top of the supply
pipe. In sketch (_a_) the first upstroke is in progress. A vacuum forms
under the piston, or plunger, and water rises up the barrel to fill it.
The next diagram (_b_) shows the first downstroke. The plunger valve
now opens and allows water to rise above the piston, while the lower
closes under the pressure of the water above and the pull of that below.
During the second upstroke (_c_) the water above the piston is raised
until it overflows through the spout, while a fresh supply is being
sucked in below.
[Illustration: FIG. 174.]
THE FORCE-PUMP.
[Illustration: FIG. 175. Force-pump; suction stroke.]
[Illustration: FIG. 176. Force-pump; delivery stroke.]
For driving water to levels above that of the pump a somewhat different
arrangement is required. One type of force-pump is shown in Figs. 175,
176. The piston now is solid, and the upper valve is situated in the
delivery pipe. During an upstroke this closes, and the other opens; the
reverse happening during a downstroke. An air-chamber is generally
fitted to the delivery pipe when water is to be lifted to great heights
or under high pressure. At each delivery stroke the air in the chamber
is compressed, absorbing some of the shock given to the water in the
pipe by the water coming from the pump; and its expansion during the
next suction stroke forces the water gradually up the pipe. The
air-chamber is a very prominent feature of the fire-engine.
A _double-action_ force-pump is seen in Fig. 177, making an upward
stroke. Both sides of the piston are here utilized, and the piston rod
works through a water-tight stuffing-box. The action of the pump will be
easily understood from the diagram.
[Illustration: FIG. 177.]
THE MOST MARVELLOUS PUMP
known is the _heart_. We give in Fig. 178 a diagrammatic sketch of the
system of blood circulation in the human body, showing the heart, the
arteries, and the veins, big and little. The body is supposed to be
facing the reader, so that the left lung, etc., is to his right.
[Illustration: FIG. 178.--A diagrammatic representation of the
circulatory system of the blood.]
The heart, which forces the blood through the body, is a large muscle
(of about the size of the clenched fist) with four cavities. These are
respectively known as the right and left _auricles_, and the right and
left _ventricles_. They are arranged in two pairs, the auricle
uppermost, separated by a fleshy partition. Between each auricle and its
ventricle is a valve, which consists of strong membranous flaps, with
loose edges turned downwards. The left-side valve is the _mitral_ valve,
that between the right auricle and ventricle the _tricuspid_ valve. The
edges of the valves fall together when the heart contracts, and prevent
the passage of blood. Each ventricle has a second valve through which it
ejects the blood. (That of the right ventricle has been shown double for
the sake of convenience.)
The action of the heart is this:--The auricles and ventricles expand;
blood rushes into the auricles from the channels supplying them, and
distends them and the ventricles; the auricles contract and fill the
ventricles below quite full (there are no valves above the auricles, but
the force of contraction is not sufficient to return the blood to the
veins); the ventricles contract; the mitral and tricuspid valves close;
the valves leading to the arteries open; blood is forced out of the
ventricles.
THE BLOOD CHANNELS
are of two kinds--(1) The _arteries_, which lead the blood into the
circulatory system; (2) the _veins_, which lead the blood back to the
heart. The arteries divide up into branches, and these again divide into
smaller and smaller arteries. The smallest, termed _capillaries_ (Latin,
_capillus_, a hair), are minute tubes having an average diameter of
1/3000th of an inch. These permeate every part of the body. The
capillary arteries lead into the smallest veins, which unite to form
larger and larger veins, until what we may call the main streams are
reached. Through these the blood flows to the heart.
There are three main points of difference between arteries and veins. In
the first place, the larger arteries have thick elastic walls, and
maintain their shape even when empty. This elasticity performs the
function of the air-chamber of the force-pump. When the ventricles
contract, driving blood into the arteries, the walls of the latter
expand, and their contraction pushes the blood steadily forward without
shock. The capillaries have very thin walls, so that fluids pass through
them to and from the body, feeding it and taking out waste matter. The
veins are all thin-walled, and collapse when empty. Secondly, most veins
are furnished with valves, which prevent blood flowing the wrong way.
These are similar in principle to those of the heart. Arteries have no
valves. Thirdly, arteries are generally deeply set, while many of the
veins run near the surface of the body. Those on the front of the arm
are specially visible. Place your thumb on them and run it along towards
the wrist, and you will notice that the veins distend owing to the
closing of the valves just mentioned.
Arterial blood is _red_, and comes out from a cut in gulps, on account
of the contraction of the elastic walls. If you cut a vein, _blue_ blood
issues in a steady stream. The change of colour is caused by the loss of
oxygen during the passage of the blood through the capillaries, and the
absorption of carbon dioxide from the tissues.
The _lungs_ are two of the great purifiers of the blood. As it
circulates through them, it gives up the carbon dioxide which it has
absorbed, and receives pure oxygen in exchange. If the air of a room is
"foul," the blood does not get the proper amount of oxygen. For this
reason it is advisable for us to keep the windows of our rooms open as
much as possible both day and night. Fatigue is caused by the
accumulation of carbon dioxide and other impurities in the blood. When
we run, the heart pumps blood through the lungs faster than they can
purify it, and eventually our muscles become poisoned to such an extent
that we have to stop from sheer exhaustion.
THE COURSE OF THE BLOOD.
It takes rather less than a minute for a drop of blood to circulate from
the heart through the whole system and back to the heart.
We may briefly summarize the course of the circulation of the blood
thus:--It is expelled from the left ventricle into the _aorta_ and the
main arteries, whence it passes into the smaller arteries, and thence
into the capillaries of the brain, stomach, kidneys, etc. It here
imparts oxygen to the body, and takes in impurities. It then enters the
veins, and through them flows back to the right auricle; is driven into
the right ventricle; is expelled into the _pulmonary_ (lung)
_arteries_; enters the lungs, and is purified. It returns to the left
auricle through the _pulmonary veins_; enters the left auricle, passes
to left ventricle, and so on.
A healthy heart beats from 120 times per minute in a one-year-old infant
to 60 per minute in a very aged person. The normal rate for a
middle-aged adult is from 80 to 70 beats.
Heart disease signifies the failure of the heart valves to close
properly. Blood passes back when the heart contracts, and the
circulation is much enfeebled. By listening through a stethoscope the
doctor is able to tell whether the valves are in good order. A hissing
sound during the beat indicates a leakage past the valves; a thump, or
"clack," that they shut completely.
THE HYDRAULIC PRESS.
It is a characteristic of fluids and gases that if pressure be brought
to bear on any part of a mass of either class of bodies it is
transmitted equally and undiminished in all directions, and acts with
the same force on all equal surfaces, at right angles to those surfaces.
The great natural philosopher Pascal first formulated this remarkable
fact, of which a simple illustration is given in Fig. 179. Two
cylinders, A and B, having a bore of one and two inches respectively,
are connected by a pipe. Water is poured in, and pistons fitting the
cylinders accurately and of equal weight are inserted. On piston B is
placed a load of 10 lbs. To prevent A rising above the level of B, it
must be loaded proportionately. The area of piston A is four times that
of B, so that if we lay on it a 40-lb. weight, neither piston will move.
The walls of the cylinders and connecting pipe are also pressed outwards
in the ratio of 10 lbs. for every part of their interior surface which
has an area equal to that of piston B.
[Illustration: FIG. 179.]
[Illustration: FIG. 180.--The cylinder and ram of a hydraulic press.]
The hydraulic press is an application of this law. Cylinder B is
represented by a force pump of small bore, capable of delivering water
at very high pressures (up to 10 tons per square inch). In the place of
A we have a stout cylinder with a solid plunger, P (Fig. 180), carrying
the _table_ on which the object to be pressed is placed. Bramah, the
inventor of the hydraulic press, experienced great difficulty in
preventing the escape of water between the top of the cylinder and the
plunger. If a "gland" packing of the type found in steam-cylinders were
used, it failed to hold back the water unless it were screwed down so
tightly as to jam the plunger. He tried all kinds of expedients without
success; and his invention, excellent though it was in principle, seemed
doomed to failure, when his foreman, Henry Maudslay,[35] solved the
problem in a simple but most masterly manner. He had a recess turned in
the neck of the cylinder at the point formerly occupied by the
stuffing-box, and into this a leather collar of U-section (marked solid
black in Fig. 180) was placed with its open side downwards. When water
reached it, it forced the edges apart, one against the plunger, the
other against the walls of the recess, with a degree of tightness
proportionate to the pressure. On water being released from the cylinder
the collar collapsed, allowing the plunger to sink without friction.
The principle of the hydraulic press is employed in lifts; in machines
for bending, drilling, and riveting steel plates, or forcing wheels on
or off their axles; for advancing the "boring shield" of a tunnel; and
for other purposes too numerous to mention.
HOUSEHOLD WATER-SUPPLY FITTINGS.
Among these, the most used is the tap, or cock. When a house is served
by the town or district water supply, the fitting of proper taps on all
pipes connected with the supply is stipulated for by the water-works
authorities. The old-fashioned "plug" tap is unsuitable for controlling
high-pressure water on account of the suddenness with which it checks
the flow. Lest the reader should have doubts as to the nature of a plug
tap, we may add that it has a tapering cone of metal working in a
tapering socket. On the cone being turned till a hole through it is
brought into line with the channel of the tap, water passes. A quarter
turn closes the tap.
[Illustration: FIG. 181.--A screw-down water cock.]
Its place has been taken by the screw-down cock. A very common and
effective pattern is shown in Fig. 181. The valve V, with a facing of
rubber, leather, or some other sufficiently elastic substance, is
attached to a pin, C, which projects upwards into the spindle A of the
tap. This spindle has a screw thread on it engaging with a collar, B.
When the spindle is turned it rises or falls, allowing the valve to
leave its seating, V S, or forcing it down on to it. A packing P in the
neck of B prevents the passage of water round the spindle. To open or
close the tap completely is a matter of several turns, which cannot be
made fast enough to produce a "water-hammer" in the pipes by suddenly
arresting the flow. The reader will easily understand that if water
flowing at the rate of several miles an hour is abruptly checked, the
shock to the pipes carrying it must be very severe.
THE BALL-COCK
is used to feed a cistern automatically with water, and prevent the
water rising too far in the cistern (Fig. 182). Water enters the cistern
through a valve, which is opened and closed by a plug faced with rubber.
The lower extremity of the plug is flattened, and has a rectangular hole
cut in it. Through this passes a lever, L, attached at one end to a
hollow copper sphere, and pivoted at the other on the valve casing. This
casing is not quite circular in section, for two slots are cast in the
circumference to allow water to pass round the plug freely when the
valve is open. The buoyancy of the copper sphere is sufficient to force
the plug's face up towards its seating as the valve rises, and to cut
off the supply entirely when a certain level has been attained. If water
is drawn off, the sphere sinks, the valve opens, and the loss is made
good.
[Illustration: FIG. 182.--An automatic ball-valve.]
THE WATER-METER.
[Illustration: FIG. 183.]
Some consumers pay a sum quarterly for the privilege of a water supply,
and the water company allows them to use as much as they require.
Others, however, prefer to pay a fixed amount for every thousand gallons
used. In such cases, a water-meter is required to record the
consumption. We append a sectional diagram of Kennedy's patent
water-meter (Fig. 183), very widely used. At the bottom is the measuring
cylinder, fitted with a piston, (6), which is made to move perfectly
water-tight and free from friction by means of a cylindrical ring of
india-rubber, rolling between the body of the piston and the internal
surface of the cylinder. The piston rod (25), after passing through a
stuffing-box in the cylinder cover, is attached to a rack, (15), which
gears with a cog, (13), fixed on a shaft. As the piston moves up and
down, this cog is turned first in one direction, then in the other. To
this shaft is connected the index mechanism (to the right). The cock-key
(24) is so constructed that it can put either end of the measuring
cylinder in communication with the supply or delivery pipes, if given a
quarter turn (see Fig. 184). The weighted lever (14) moves loosely on
the pinion shaft through part of a circle. From the pinion project two
arms, one on each side of the lever. When the lever has been lifted by
one of these past the vertical position, it falls by its own weight on
to a buffer-box rest, (18). In doing so, it strikes a projection on the
duplex lever (19), which is joined to the cock-key, and gives the latter
a quarter turn.
In order to follow the working of the meter, we must keep an eye on
Figs. 183 and 184 simultaneously. Water is entering from A, the supply
pipe. It flows through the cock downwards through channel D into the
lower half of the cylinder. The piston rises, driving out the water
above it through C to the delivery pipe B. Just as the piston completes
its stroke the weight, raised by the rack and pinion, topples over, and
strikes the key-arm, which it sends down till stopped by the
buffer-box. The tap is then at right angles to the position shown in
Fig. 184, and water is directed from A down C into the top of the
cylinder, forcing the piston down, while the water admitted below during
the last stroke is forced up the passage D, and out by the outlet B.
Before the piston has arrived at the bottom of the cylinder, the lifter
will have lifted the weighted lever from the buffer-box, and raised it
to a vertical position; from there it will have fallen on the right-hand
key-arm, and have brought the cock-key to its former position, ready to
begin another upward stroke.
[Illustration: FIG. 184.]
The _index mechanism_ makes allowance for the fact that the bevel-wheel
on the pinion shaft has its direction reversed at the beginning of every
stroke of the piston. This bevel engages with two others mounted loosely
on the little shaft, on which is turned a screw thread to revolve the
index counter wheels. Each of these latter bevels actuates the shaft
through a ratchet; but while one turns the shaft when rotating in a
clockwise direction only, the other engages it when making an
anti-clockwise revolution. The result is that the shaft is always turned
in the same direction.
WATER-SUPPLY SYSTEMS.
The water for a town or a district supply is got either from wells or
from a river. In the former case it may be assumed to be free from
impurities. In the latter, there is need for removing all the
objectionable and dangerous matter which river water always contains in
a greater or less degree. This purification is accomplished by first
leading the water into large _settling tanks_, where the suspended
matter sinks to the bottom. The water is then drawn off into
_filtration beds_, made in the following manner. The bottom is covered
with a thick layer of concrete. On this are laid parallel rows of
bricks, the rows a small distance apart. Then come a layer of bricks or
tiles placed close together; a layer of coarse gravel; a layer of finer
gravel; and a thick layer of sand at the top. The sand arrests any solid
matter in the water as it percolates to the gravel and drains below.
Even the microbes,[36] of microscopic size, are arrested as soon as the
film of mud has formed on the top of the sand. Until this film is formed
the filter is not in its most efficient condition. Every now and then
the bed is drained, the surface mud and sand carefully drained off, and
fresh sand put in their place. A good filter bed should not pass more
than from two to three gallons per hour for every square foot of
surface, and it must therefore have a large area.
It is sometimes necessary to send the water through a succession of
beds, arranged in terraces, before it is sufficiently pure for drinking
purposes.
THE HOUSEHOLD FILTER.
When there is any doubt as to the wholesomeness of the water supply, a
small filter is often used. The microbe-stopper is usually either
charcoal, sand, asbestos, or baked clay of some kind. In Fig. 185 we
give a section of a Maignen filter. R is the reservoir for the filtered
water; A the filter case proper; D a conical perforated frame; B a
jacket of asbestos cloth secured top and bottom by asbestos cords to D;
C powdered carbon, between which and the asbestos is a layer of special
chemical filtering medium. A perforated cap, E, covers in the carbon and
prevents it being disturbed when water is poured in. The carbon arrests
the coarser forms of matter; the asbestos the finer. The asbestos jacket
is easily removed and cleansed by heating over a fire.
[Illustration: FIG. 185.]
The most useful form of household filter is one which can be attached to
a tap connected with the main. Such a filter is usually made of
porcelain or biscuit china. The Berkefeld filter has an outer case of
iron, and an interior hollow "candle" of porcelain from which a tube
passes through the lid of the filter to a storage tank for the filtered
water. The water from the main enters the outer case, and percolates
through the porcelain walls to the internal cavity and thence flows away
through the delivery pipe.
Whatever be the type of filter used it must be cleansed at proper
intervals. A foul filter is very dangerous to those who drink the water
from it. It has been proved by tests that, so far from purifying the
water, an inefficient and contaminated filter passes out water much more
highly charged with microbes than it was before it entered. We must not
therefore think that, because water has been filtered, it is necessarily
safe. The reverse is only too often the case.
GAS TRAPS.
Dangerous microbes can be breathed as well as drunk into the human
system. Every communication between house and drains should be most
carefully "trapped." The principle of a gas trap between, say, a kitchen
sink and the drain to carry off the water is given in Fig. 186. Enough
water always remains in the bend to rise above the level of the elbow,
effectually keeping back any gas that there may be in the pipe beyond
the bend.
[Illustration: FIG. 186.--A trap for foul air.]
WATER-ENGINES.
Before the invention of the steam-engine human industries were largely
dependent on the motive power of the wind and running water. But when
the infant nursed by Watt and Stephenson had grown into a giant, both of
these natural agents were deposed from the important position they once
held. Windmills in a state of decay crown many of our hilltops, and the
water-wheel which formerly brought wealth to the miller now rots in its
mountings at the end of the dam. Except for pumping and moving boats and
ships, wind-power finds its occupation gone. It is too uncertain in
quantity and quality to find a place in modern economics. Water-power,
on the other hand, has received a fresh lease of life through the
invention of machinery so scientifically designed as to use much more of
the water's energy than was possible with the old-fashioned wheel.
[Illustration: FIG. 187.--A Pelton wheel which develops 5,000
horse-power. Observe the shape of the double buckets.]
The _turbine_, of which we have already spoken in our third chapter, is
now the favourite hydraulic engine. Some water-turbines work on much the
same principle as the Parsons steam-turbine; others resemble the De
Laval. Among the latter the Pelton wheel takes the first place. By the
courtesy of the manufacturers we are able to give some interesting
details and illustrations of this device.
[Illustration: FIG. 188.--Pelton wheel mounted, with nozzle in
position.]
The wheel, which may be of any diameter from six inches to ten feet, has
buckets set at regular intervals round the circumference, sticking
outwards. Each bucket, as will be gathered from our illustration of an
enormous 5,000 h.p. wheel (Fig. 187), is composed of two cups. A nozzle
is so arranged as to direct water on the buckets just as they reach the
lowest point of a revolution (see Fig. 188). The water strikes the
bucket on the partition between the two cups, which turns it right and
left round the inside of the cups. The change of direction transfers the
energy of the water to the wheel.
[Illustration: FIG. 189.--Speed regulator for Pelton wheel.]
The speed of the wheel may be automatically regulated by a deflecting
nozzle (Fig. 189), which has a ball and socket joint to permit of its
being raised or lowered by a centrifugal governor, thus throwing the
stream on or off the buckets. The power of the wheel is consequently
increased or diminished to meet the change of load, and a constant speed
is maintained. When it is necessary to waste as little water as
possible, a concentric tapered needle may be fitted inside the nozzle.
When the nozzle is in its highest position the needle tip is withdrawn;
as the nozzle sinks the needle protrudes, gradually decreasing the
discharge area of the nozzle.
Pelton wheels are designed to run at all speeds and to use water of any
pressure. At Manitou, Colorado, is an installation of three wheels
operated by water which leaves the nozzle at the enormous pressure of
935 lbs. per square inch. It is interesting to note that jets of very
high-pressure water offer astonishing resistance to any attempt to
deflect their course. A three-inch jet of 500-lb. water cannot be cut
through by a blow from a crowbar.
In order to get sufficient pressure for working hydraulic machinery in
mines, factories, etc., water is often led for many miles in flumes, or
artificial channels, along the sides of valleys from the source of
supply to the point at which it is to be used. By the time that point is
reached the difference between the gradients of the flume and of the
valley bottom has produced a difference in height of some hundreds of
feet.
[Illustration: FIG. 190.--The Laxey water-wheel, Isle of Man. In the
top right-hand corner is a Pelton wheel of proportionate size required
to do the same amount of work with the same consumption of water at the
same pressure.]
The full-page illustration on p. 380 affords a striking testimony to
the wonderful progress made in engineering practice during the last
fifty years. The huge water-wheel which forms the bulk of the picture is
that at Laxey, in the Isle of Man. It is 72-1/2 feet in diameter, and is
supposed to develop 150 horse-power, which is transmitted several
hundreds of feet by means of wooden rods supported at regular intervals.
The power thus transmitted operates a system of pumps in a lead mine,
raising 250 gallons of water per minute, to an elevation of 1,200 feet.
The driving water is brought some distance to the wheel in an
underground conduit, and is carried up the masonry tower by pressure,
flowing over the top into the buckets on the circumference of the wheel.
The little cut in the upper corner represents a Pelton wheel drawn on
the same scale, which, given an equal supply of water at the same
pressure, would develop the same power as the Laxey monster. By the side
of the giant the other appears a mere toy.
THE CREAM SEPARATOR.
In 1864 Denmark went to war with Germany, and emerged from the short
struggle shorn of the provinces of Lauenburg, Holstein, and Schleswig.
The loss of the two last, the fairest and most fertile districts of the
kingdom, was indeed grievous. The Danish king now ruled only over a land
consisting largely of moor, marsh, and dunes, apparently worthless for
any purpose. But the Danes, with admirable courage, entered upon a
second struggle, this time with nature. They made roads and railways,
dug irrigation ditches, and planted forest trees; and so gradually
turned large tracts of what had been useless country into valuable
possessions. Agriculture being much depressed, owing to the low price of
corn, they next gave their attention to the improvement of dairy
farming. Labour-saving machinery of all kinds was introduced, none more
important than the device for separating the fatty from the watery
constituents of milk. It would not be too much to say that the separator
is largely responsible for the present prosperity of Denmark.
[Illustration: FIG. 191.--Section of a Cream Separator.]
How does it work? asks the reader. Centrifugal force[37] is the
governing principle. To explain its application we append a sectional
illustration (Fig. 191) of Messrs. Burmeister and Wain's hand-power
separator, which may be taken as generally representative of this class
of machines. Inside a circular casing is a cylindrical bowl, D, mounted
on a shaft which can be revolved 5,000 times a minute by means of the
cog-wheels and the screw thread chased on it near the bottom extremity.
Milk flows from the reservoir R (supported on a stout arm) through tap A
into a little distributer on the top of the separator, and from it drops
into the central tube C of the bowl. Falling to the bottom, it is flung
outwards by centrifugal force, finds an escape upwards through the holes
_a a_, and climbs up the perforated grid _e_, the surface of which is a
series of pyramidical excrescences, and finally reaches the inner
surface of the drum proper. The velocity of rotation is so tremendous
that the heavier portions of the milk--that is, the watery--crowd
towards the point furthest from the centre, and keep the lighter fatty
elements away from contact with the sides of the drum. In the diagram
the water is represented by small circles, the cream by small crosses.
As more milk enters the drum it forces upwards what is already there.
The cap of the drum has an inner jacket, F, which at the bottom _all but
touches_ the side of the drum. The distance between them is the merest
slit; but the cream is deflected up outside F into space E, and escapes
through a hole one-sixteenth of an inch in diameter perforating the
plate G. The cream is flung into space K and trickles out of spout B,
while the water flies into space H and trickles away through spout A.
THE "HYDRO.,"
used in laundries for wringing clothes by centrifugal force, has a solid
outer casing and an inner perforated cylindrical cage, revolved at high
speed by a vertical shaft. The wet clothes are placed in the cage, and
the machine is started. The water escapes through the perforations and
runs down the side of the casing to a drain. After a few minutes the
clothes are dry enough for ironing. So great is the centrifugal force
that they are consolidated against the sides of the cage, and care is
needed in their removal.
[35] Inventor of the lathe slide-rest.
[36] Living germs; some varieties the cause of disease.
[37] That is, centre-fleeing force. Water dropped on a spinning top
rushes towards the circumference and is shot off at right angles to a
line drawn from the point of parting to the centre of the top.
Chapter XIX.
HEATING AND LIGHTING.
The hot-water supply--The tank system--The cylinder system--How a
lamp works--Gas and gasworks--Automatic stoking--A gas
governor--The gas meter--Incandescent gas lighting.
HOT-WATER SUPPLY.
A well-equipped house is nowadays expected to contain efficient
apparatus for supplying plenty of hot water at all hours of the day.
There is little romance about the kitchen boiler and the pipes which the
plumber and his satellites have sometimes to inspect and put right, but
the methods of securing a proper circulation of hot water through the
house are sufficiently important and interesting to be noticed in these
pages.
In houses of moderate size the kitchen range does the heating. The two
systems of storing and distributing the heated water most commonly used
are--(1) The _tank_ system; (2) the _cylinder_ system.
THE TANK SYSTEM
is shown diagrammatically in Fig. 192. The boiler is situated at the
back of the range, and when a "damper" is drawn the fire and hot gases
pass under it to a flue leading to the chimney. The almost boiling water
rises to the top of the boiler and thence finds its way up the _flow
pipe_ into the hot-water tank A, displacing the somewhat colder water
there, which descends through the _return pipe_ to the bottom of the
boiler.
Water is drawn off from the flow pipe. This pipe projects some distance
through the bottom of A, so that the hottest portion of the contents may
be drawn off first. A tank situated in the roof, and fed from the main
by a ball-cock valve, communicates with A through the siphon pipe S. The
bend in this pipe prevents the ascent of hot water, which cannot sink
through water colder than itself. From the top of A an _expansion pipe_
is led up and turned over the cold-water tank to discharge any steam
which may be generated in the boiler.
A hot-water radiator for warming the house may be connected to the flow
and return pipes as shown. Since it opens a "short circuit" for the
circulation, the water in the tank above will not be so well heated
while it is in action. If cocks are fitted to the radiator pipes, the
amount of heat thus deflected can be governed.
[Illustration: FIG. 192.--The "tank" system of hot-water supply.]
A disadvantage of the tank system is that the tank, if placed high
enough to supply all flows, is sometimes so far from the boiler that the
water loses much of its heat in the course of circulation. Also, if for
any reason the cold water fails, tank A may be entirely emptied,
circulation cease, and the water in the boiler and pipes boil away
rapidly.
THE CYLINDER SYSTEM
(Fig. 193) is open to neither of these objections. Instead of a
rectangular tank up aloft, we now have a large copper cylinder situated
in the kitchen near the range. The flow and return pipes are continuous,
and the cold supply enters the bottom of the cylinder through a pipe
with a siphon bend in it. As before, water is drawn off from the flow
pipe, and a radiator may be put in the circuit. Since there is no
draw-off point below the top of the cylinder, even if the cold supply
fails the cylinder will remain full, and the failure will be discovered
long before there is any danger of the water in it boiling away.
[Illustration: FIG. 193.--The "cylinder" system of hot-water supply.]
Boiler explosions are due to obstructions in the pipes. If the
expansion pipe and the cold-water supply pipe freeze, there is danger of
a slight accumulation of steam; and if one of the circulation pipes is
also blocked, steam must generate until "something has to go,"[38] which
is naturally the boiler. Assuming that the pipes are quite full to the
points of obstruction, the fracture would result from the expansion of
the water. Steam cannot generate unless there be a space above the
water. But the expanding water has stored up the heat which would have
raised steam, and the moment expansion begins after fracture this energy
is suddenly let loose. Steam forms instantaneously, augmenting the
effects of the explosion. From this it will be gathered that all pipes
should be properly protected against frost; especially near the roof.
Another cause of disaster is the _furring up_ of the pipes with the lime
deposited by hard water when heated. When hard water is used, the pipes
will sooner or later be blocked near the boiler; and as the deposit is
too hard to be scraped away, periodical renewals are unavoidable.
HOW A LAMP WORKS.
From heating we turn to lighting, and first to the ordinary paraffin
lamp. The two chief things to notice about this are the wick and the
chimney. The wick, being made of closely-woven cotton, draws up the oil
by what is known as _capillary attraction_. If you dip the ends of two
glass tubes, one half an inch, the other one-eighth of an inch in
diameter, into a vessel of water, you will notice that the water rises
higher in the smaller tube. Or get two clean glass plates and lay them
face to face, touching at one end, but kept slightly apart at the other
by some small object. If they are partly submerged perpendicularly, the
water will rise between the plates--furthest on the side at which the
two plates touch, and less and less as the other edge is approached. The
tendency of liquids to rise through porous bodies is a phenomenon for
which we cannot account.
Mineral oil contains a large proportion of carbon and hydrogen; it is
therefore termed hydro-carbon. When oil reaches the top of a lighted
wick, the liquid is heated until it turns into gas. The carbon and
hydrogen unite with the oxygen of the air. Some particles of the carbon
apparently do not combine at once, and as they pass through the fiery
zone of the flame are heated to such a temperature as to become highly
luminous. It is to produce these light-rays that we use a lamp, and to
burn our oil efficiently we must supply the flame with plenty of oxygen,
with more than it could naturally obtain. So we surround it with a
transparent chimney of special glass. The air inside the chimney is
heated, and rises; fresh air rushes in at the bottom, and is also heated
and replaced. As the air passes through, the flame seizes on the oxygen.
If the wick is turned up until the flame becomes smoky and flares, the
point has been passed at which the induced chimney draught can supply
sufficient oxygen to combine with the carbon of the vapour, and the
"free" carbon escapes as smoke.
The blower-plate used to draw up a fire (Fig. 194) performs exactly the
same function as the lamp chimney, but on a larger scale. The plate
prevents air passing straight up the chimney over the coals, and compels
it to find a way through the fire itself to replace the heated air
rising up the chimney.
[Illustration: FIG. 194.--Showing how a blower-plate draws up the
fire.]
GAS AND GASWORKS.
A lamp is an apparatus for converting hydro-carbon mineral oil into gas
and burning it efficiently. The gas-jet burns gases produced by driving
off hydro-carbon vapours from coal in apparatus specially designed for
the purpose. Gas-making is now, in spite of the competition of electric
lighting, so important an industry that we shall do well to glance at
the processes which it includes. Coal gas may be produced on a very
small scale as follows:--Fill a tin canister (the joints of which have
been made by folding the metal, not by soldering) with coal, clap on the
lid, and place it, lid downwards, in a bright fire, after punching a
hole in the bottom. Vapour soon begins to issue from the hole. This is
probably at first only steam, due to the coal being more or less damp.
But if a lighted match be presently applied the vapour takes fire,
showing that coal gas proper is coming off. The flame lasts for a long
time. When it dies the canister may be removed and the contents
examined. Most of the carbon remains in the form of _coke_. It is bulk
for bulk much lighter than coal, for the hydrogen, oxygen, and other
gases, and some of the carbon have been driven off by the heat. The coke
itself burns if placed in a fire, but without any smoke, such as issues
from coal.
[Illustration: FIG. 195.--Sketch of the apparatus used in the
manufacture of coal gas.]
Our home-made gas yields a smoky and unsatisfactory flame, owing to the
presence of certain impurities--ammonia, tar, sulphuretted hydrogen, and
carbon bisulphide. A gas factory must be equipped with means of getting
rid of these objectionable constituents. Turning to Fig. 195, which
displays very diagrammatically the main features of a gas plant, we
observe at the extreme right the _retorts_, which correspond to our
canister. These are usually long fire-brick tubes of D-section, the flat
side at the bottom. Under each is a furnace, the flames of which play on
the bottom, sides, and inner end of the retort. The outer end projecting
beyond the brickwork seating has an iron air-tight door for filling the
retort through, immediately behind which rises an iron exit pipe, A, for
the gases. Tar, which vaporizes at high temperatures, but liquefies at
ordinary atmospheric heat, must first be got rid of. This is effected by
passing the gas through the _hydraulic main_, a tubular vessel half full
of water running the whole length of the retorts. The end of pipe A
dips below the surface of the water, which condenses most of the tar and
steam. The partly-purified gas now passes through pipe B to the
_condensers_, a series of inverted U-pipes standing on an iron chest
with vertical cross divisions between the mouths of each U. These
divisions dip into water, so that the gas has to pass up one leg of a U,
down the other, up the first leg of the second pipe, and so on, till all
traces of the tar and other liquid constituents have condensed on the
inside of the pipe, from which they drop into the tank below.
The next stage is the passage of the _scrubber_, filled with coke over
which water perpetually flows. The ammonia gas is here absorbed. There
still remain the sulphuretted hydrogen and the carbon bisulphide, both
of which are extremely offensive to the nostrils. Slaked lime, laid on
trays in an air-tight compartment called the _lime purifier_, absorbs
most of the sulphurous elements of these; and the coal gas is then fit
for use. On leaving the purifiers it flows into the _gasometer_, or
gasholder, the huge cake-like form of which is a very familiar object in
the environs of towns. The gasometer is a cylindrical box with a domed
top, but no bottom, built of riveted steel plates. It stands in a
circular tank of water, so that it may rise and fall without any escape
of gas. The levity of the gas, in conjunction with weights attached to
the ends of chains working over pulleys on the framework surrounding the
holder, suffices to raise the holder.
[Illustration: FIG. 196.--The largest gasholder in the world: South
Metropolitan Gas Co., Greenwich Gas Works. Capacity, 12,158,600 cubic
feet.]
Some gasometers have an enormous capacity. The record is at present
held by that built for the South Metropolitan Gas Co., London, by
Messrs. Clayton & Son of Leeds. This monster (of which we append an
illustration, Fig. 196) is 300 feet in diameter and 180 feet high. When
fully extended it holds 12,158,600 cubic feet of gas. Owing to its
immense size, it is built on the telescopic principle in six "lifts," of
30 feet deep each. The sides of each lift, or ring, except the topmost,
have a section shaped somewhat like the letter N. Two of the members
form a deep, narrow cup to hold water, in which the "dip" member of the
ring above it rises and falls.
[Illustration: FIG. 197.--Drawing retorts. (_Photo by F. Marsh._)]
AUTOMATIC STOKING.
The labour of feeding the retorts with coal and removing the coke is
exceedingly severe. In the illustration on p. 400 (made from a very fine
photograph taken by Mr. F. Marsh of Clifton) we see a man engaged in
"drawing" the retorts through the iron doors at their outer ends.
Automatic machinery is now used in large gasworks for both operations.
One of the most ingenious stokers is the De Brouwer, shown at work in
Fig. 198. The machine is suspended from an overhead trolley running on
rails along the face of the retorts. Coal falls into a funnel at the top
of the telescopic pipe P from hoppers in the story above, which have
openings, H H, controlled by shutters. The coal as it falls is caught by
a rubber belt working round part of the circumference of the large
wheel W and a number of pulleys, and is shot into the mouth of the
retort. The operator is seen pulling the handle which opens the shutter
of the hopper above the feed-tube, and switching on the 4 h.p. electric
motor which drives the belt and moves the machine about. One of these
feeders will charge a retort 20 feet long in twenty-two seconds.
[Illustration: FIG. 198.--De Brouwer automatic retort charger.]
A GAS GOVERNOR.
Some readers may have noticed that late at night a gas-jet, which a few
hours before burned with a somewhat feeble flame when the tap was turned
fully on, now becomes more and more vigorous, and finally may flare up
with a hissing sound. This is because many of the burners fed by the
main supplying the house have been turned off, and consequently there is
a greater amount of gas available for the jets still burning, which
therefore feel an increased pressure. As a matter of fact, the pressure
of gas in the main is constantly varying, owing partly to the
irregularity of the delivery from the gasometer, and partly to the fact
that the number of burners in action is not the same for many minutes
together. It must also be remembered that houses near the gasometer end
of the main will receive their gas at a higher pressure than those at
the other end. The gas stored in the holders may be wanted for use in
the street lamps a few yards away, or for other lamps several miles
distant. It is therefore evident that if there be just enough pressure
to give a good supply to the nearest lamp, there will be too little a
short distance beyond it, and none at all at the extreme point; so that
it is necessary to put on enough pressure to overcome the friction on
all these miles of pipe, and give just enough gas at the extreme end. It
follows that at all intermediate points the pressure is excessive. Gas
of the average quality is burned to the greatest advantage, as regards
its light-giving properties, when its pressure is equal to that of a
column of water half an inch high, or about 1/50 lb. to the square inch.
With less it gives a smoky, flickering light, and with more the
combustion is also imperfect.
[Illustration: FIG. 199.]
Every house supply should therefore be fitted with a gas governor, to
keep the pressure constant. A governor frequently used, the Stott, is
shown in section in Fig. 199. Gas enters from the main on the right, and
passes into a circular elbow, D, which has top and bottom apertures
closed by the valves V V. Attached to the valve shaft is a large
inverted cup of metal, the tip of which is immersed in mercury. The
pressure at which the governor is to act is determined by the weights W,
with which the valve spindle is loaded at the top. As soon as this
pressure is exceeded, the gas in C C lifts the metal cup, and V V are
pressed against their seats, so cutting off the supply. Gas cannot
escape from C C, as it has not sufficient pressure to force its way
through the mercury under the lip of the cup. Immediately the pressure
in C C falls, owing to some of the gas being used up, the valves open
and admit more gas. When the fluctuations of pressure are slight, the
valves never close completely, but merely throttle the supply until the
pressure beyond them falls to its proper level--that is, they pass just
as much gas as the burners in use can consume at the pressure arranged
for.
Governors of much larger size, but working on much the same principle,
are fitted to the mains at the point where they leave the gasometers.
They are not, however, sensitive to local fluctuations in the pipes,
hence the necessity for separate governors in the house between the
meter and the burners.
THE GAS-METER
commonly used in houses acts on the principle shown in Fig. 200. The
air-tight casing is divided by horizontal and vertical divisions into
three gas-chambers, B, C, and D. Gas enters at A, and passes to the
valve chamber B. The slide-valves of this allow it to pass into C and D,
and also into the two circular leather bellows E, F, which are attached
to the central division G, but are quite independent of one another.
[Illustration: FIG. 200.--Sketch of the bellows and chambers of a "dry"
gas meter.]
We will suppose that in the illustration the valves are admitting gas to
chamber C and bellows F. The pressure in C presses the circular head of
E towards the division G, expelling the contents of the bellows through
an outlet pipe (not shown) to the burners in operation within the house.
Simultaneously the inflation of F forces the gas in chamber D also
through the outlet. The head-plates of the bellows are attached to rods
and levers (not shown) working the slide-valves in B. As soon as E is
fully in, and F fully expanded, the valves begin to open and put the
inlet pipe in communication with D and E, and allow the contents of F
and C to escape to the outlet. The movements of the valve mechanism
operate a train of counting wheels, visible through a glass window in
the side of the case. As the bellows have a definite capacity, every
stroke that they give means that a certain volume of gas has been
ejected either from them or from the chambers in which they move: this
is registered by the counter. The apparatus practically has two
double-action cylinders (of which the bellows ends are the pistons)
working on the same principle as the steam-cylinder (Fig. 21). The
valves have three ports--the central, or exhaust, leading to the outlet,
the outer ones from the inlet. The bellows are fed through channels in
the division G.
INCANDESCENT GAS LIGHTING.
The introduction of the electric arc lamp and the incandescent glow-lamp
seemed at one time to spell the doom of gas as an illuminating agent.
But the appearance in 1886 of the Welsbach _incandescent mantle_ for
gas-burners opened a prosperous era in the history of gas lighting.
The luminosity of a gas flame depends on the number of carbon particles
liberated within it, and the temperature to which these particles can be
heated as they pass through the intensely hot outside zone of the flame.
By enriching the gas in carbon more light is yielded, up to a certain
point, with a flame of a given temperature. To increase the heat of the
flame various devices were tried before the introduction of the
incandescent mantle, but they were found to be too short-lived to have
any commercial value. Inventors therefore sought for methods by which
the emission of light could be obtained from coal gas independently of
the incandescence of the carbon particles in the flame itself; and step
by step it was discovered that gas could be better employed merely as a
heating agent, to raise to incandescence substances having a higher
emissivity of light than carbon.
Dr. Auer von Welsbach found that the substances most suitable for
incandescent mantles were the oxides of certain rare metals, _thorium_,
and _cerium_. The mantle is made by dipping a cylinder of cotton net
into a solution of nitrate of thorium and cerium, containing 99 per
cent. of the former and 1 per cent. of the latter metal. When the fibres
are sufficiently soaked, the mantle is withdrawn, squeezed, and placed
on a mould to dry. It is next held over a Bunsen gas flame and the
cotton is burned away, while the nitrates are converted into oxides. The
mantle is now ready for use, but very brittle. So it has to undergo a
further dipping, in a solution of gun-cotton and alcohol, to render it
tough enough for packing. When it is required for use, it is suspended
over the burner by an asbestos thread woven across the top, a light is
applied to the bottom, and the collodion burned off, leaving nothing but
the heat-resisting oxides.
The burner used with a mantle is constructed on the Bunsen principle.
The gas is mixed, as it emerges from the jet, with sufficient air to
render its combustion perfect. All the carbon is burned, and the flame,
though almost invisible, is intensely hot. The mantle oxides convert the
heat energy of the flame into light energy. This is proved not only by
the intense whiteness of the mantle, but by the fact that the heat
issuing from the chimney of the burner is not nearly so great when the
mantle is in position as when it is absent.
The incandescent mantle is more extensively used every year. In Germany
90 per cent. of gas lighting is on the incandescent system, and in
England about 40 per cent. We may notice, as an interesting example of
the fluctuating fortunes of invention, that the once doomed gas-burner
has, thanks to Welsbach's mantle, in many instances replaced the
incandescent electric lamps that were to doom it.
[38] If, of course, there is no safety-valve in proper working order
included in the installation.
Chapter XX.
VARIOUS MECHANISMS.
CLOCKS AND WATCHES:--A short history of timepieces--The
construction of timepieces--The driving power--The
escapement--Compensating pendulums--The spring balance--The
cylinder escapement--The lever escapement--Compensated
balance-wheels--Keyless winding mechanism for watches--The hour
hand train. LOCKS:--The Chubb lock--The Yale lock. THE CYCLE:--The
gearing of a cycle--The free wheel--The change-speed gear.
AGRICULTURAL MACHINES:--The threshing-machine--Mowing-machines.
SOME NATURAL PHENOMENA:--Why sun-heat varies in intensity--The
tides--Why high tide varies daily.
CLOCKS AND WATCHES.
A SHORT HISTORY OF TIMEPIECES.
The oldest device for measuring time is the sun-dial. That of Ahaz
mentioned in the Second Book of Kings is the earliest dial of which we
have record. The obelisks of the Egyptians and the curious stone pillars
of the Druidic age also probably served as shadow-casters.
The clepsydra, or water-clock, also of great antiquity, was the first
contrivance for gauging the passage of the hours independently of the
motion of the earth. In its simplest form it was a measure into which
water fell drop by drop, hour levels being marked on the inside.
Subsequently a very simple mechanism was added to drive a pointer--a
float carrying a vertical rack, engaging with a cog on the pointer
spindle; or a string from the float passed over a pulley attached to the
pointer and rotated it as the float rose, after the manner of the wheel
barometer (Fig. 153). In 807 A.D. Charlemagne received from the King of
Persia a water-clock which struck the hours. It is thus described in
Gifford's "History of France":--"The dial was composed of twelve small
doors, which represented the division of the hours. Each door opened at
the hour it was intended to represent, and out of it came a small number
of little balls, which fell one by one, at equal distances of time, on a
brass drum. It might be told by the eye what hour it was by the number
of doors that were open, and by the ear by the number of balls that
fell. When it was twelve o'clock twelve horsemen in miniature issued
forth at the same time and shut all the doors."
Sand-glasses were introduced about 330 A.D. Except for special
purposes, such as timing sermons and boiling eggs, they have not been of
any practical value.
The clepsydra naturally suggested to the mechanical mind the idea of
driving a mechanism for registering time by the force of gravity acting
on some body other than water. The invention of the _weight-driven
clock_ is attributed, like a good many other things, to Archimedes, the
famous Sicilian mathematician of the third century B.C.; but no record
exists of any actual clock composed of wheels operated by a weight prior
to 1120 A.D. So we may take that year as opening the era of the clock as
we know it.
About 1500 Peter Hele of Nuremberg invented the _mainspring_ as a
substitute for the weight, and the _watch_ appeared soon afterwards
(1525 A.D.). The pendulum was first adopted for controlling the motion
of the wheels by Christian Huygens, a distinguished Dutch mechanician,
in 1659.
To Thomas Tompion, "the father of English watchmaking," is ascribed the
honour of first fitting a _hairspring_ to the escapement of a watch, in
or about the year 1660. He also introduced the _cylinder escapement_ now
so commonly used in cheap watches. Though many improvements have been
made since his time, Tompion manufactured clocks and watches which were
excellent timekeepers, and as a reward for the benefits conferred on his
fellows during his lifetime, he was, after death, granted the
exceptional honour of a resting-place in Westminster Abbey.
THE CONSTRUCTION OF TIMEPIECES.
A clock or watch contains three main elements:--(1) The source of power,
which may be a weight or a spring; (2) the train of wheels operated by
the driving force; (3) the agent for controlling the movements of the
train--this in large clocks is usually a pendulum, in small clocks and
watches a hairspring balance. To these may be added, in the case of
clocks, the apparatus for striking the hour.
THE DRIVING POWER.
_Weights_ are used only in large clocks, such as one finds in halls,
towers, and observatories. The great advantage of employing weights is
that a constant driving power is exerted. _Springs_ occupy much less
room than weights, and are indispensable for portable timepieces. The
employment of them caused trouble to early experimenters on account of
the decrease in power which necessarily accompanies the uncoiling of a
wound-up spring. Jacob Zech of Prague overcame the difficulty in 1525 by
the invention of the _fusee_, a kind of conical pulley interposed
between the barrel, or circular drum containing the mainspring, and the
train of wheels which the spring has to drive. The principle of the
"drum and fusee" action will be understood from Fig. 201. The mainspring
is a long steel ribbon fixed at one end to an arbor (the watchmaker's
name for a spindle or axle), round which it is tightly wound. The arbor
and spring are inserted in the barrel. The arbor is prevented from
turning by a ratchet, B, and click, and therefore the spring in its
effort to uncoil causes the barrel to rotate.
[Illustration: FIG. 201.]
A string of catgut (or a very fine chain) is connected at one end to
the circumference of the drum, and wound round it, the other end being
fixed to the larger end of the fusee, which is attached to the
driving-wheel of the watch or clock by the intervention of a ratchet and
click (not shown). To wind the spring the fusee is turned backward by
means of a key applied to the square end A of the fusee arbor, and this
draws the string from off the drum on to the fusee. The force of the
spring causes the fusee to rotate by pulling the string off it, coil by
coil, and so drives the train of wheels. But while the mainspring, when
fully wound, turns the fusee by uncoiling the string from the smallest
part of the fusee, it gets the advantage of the larger radius as its
energy becomes lessened.
The fusee is still used for marine chronometers, for some clocks that
have a mainspring and pendulum, and occasionally for watches. In the
latter it has been rendered unnecessary by the introduction of the
_going-barrel_ by Swiss watchmakers, who formed teeth on the edge of the
mainspring barrel to drive the train of wheels. This kind of drum is
called "going" because it drives the watch during the operation of
winding, which is performed by rotating the drum arbor to which the
inner end of the spring is attached. A ratchet prevents the arbor from
being turned backwards by the spring. The adoption of the going-barrel
has been made satisfactory by the improvements in the various escapement
actions.
THE ESCAPEMENT.
[Illustration: FIG. 202.]
The spring or weight transmits its power through a train of cogs to the
_escapement_, or device for regulating the rate at which the wheels are
to revolve. In clocks a _pendulum_ is generally used as the controlling
agent. Galileo, when a student at Pisa, noticed that certain hanging
lamps in the cathedral there swung on their cords at an equal rate; and
on investigation he discovered the principle that the shorter a pendulum
is the more quickly will it swing to and fro. As has already been
observed, Huygens first applied the principle to the governing of
clocks. In Fig. 202 we have a simple representation of the "dead-beat"
escapement commonly used in clocks. The escape-wheel is mounted on the
shaft of the last cog of the driving train, the pallet on a spindle
from which depends a split arm embracing the rod and the pendulum. We
must be careful to note that the pendulum _controls_ motion only; it
does not cause movement.
The escape-wheel revolves in a clockwise direction. The two pallets _a_
and _b_ are so designed that only one can rest on the teeth at one time.
In the sketch the sloping end of _b_ has just been forced upwards by the
pressure of a tooth. This swings the pallet and the pendulum. The
momentum of the latter causes _a_ to descend, and at the instant when
_b_ clears its tooth _a_ catches and holds another. The left-hand side
of _a_, called the _locking-face_, is part of a circle, so that the
escape-wheel is held motionless as long as it touches _a_: hence the
term, "dead beat"--that is, brought to a dead stop. As the pendulum
swings back, to the left, under the influence of gravity, _a_ is raised
and frees the tooth. The wheel jerks round, and another tooth is caught
by the locking-face of _b_. Again the pendulum swings to the right, and
the sloping end of _b_ is pushed up once more, giving the pendulum fresh
impetus. This process repeats itself as long as the driving power
lasts--for weeks, months, or years, as the case may be, and the
mechanism continues to be in good working order.
COMPENSATING PENDULUMS.
Metal expands when heated; therefore a steel pendulum which is of the
exact length to govern a clock correctly at a temperature of 60 deg.
would become too long at 80 deg., and slow the clock, and too short at
40 deg., and cause it to gain. In common clocks the pendulum rod is often
made of wood, which maintains an almost constant length at all ordinary
temperatures. But for very accurate clocks something more efficient is
required. Graham, the partner of Thomas Tompion, took advantage of the
fact that different kinds of metal have different ratios of expansion to
produce a _self-compensating_ pendulum on the principle illustrated by
Fig. 203. He used steel for the rod, and formed the _bob_, or weighted
end, of a glass jar containing mercury held in a stirrup; the mercury
being of such a height that, as the pendulum rod lengthened with a rise
of temperature, the mercury expanded _upwards_ sufficiently to keep the
distance between the point of suspension and the centre of gravity of
the bob always the same. With a fall of temperature the rod shortened,
while the mercury sank in the jar. This device has not been improved
upon, and is still used in observatories and other places where
timekeepers of extreme precision are required. The milled nut S in Fig.
203 is fitted at the end of the pendulum rod to permit the exact
adjustment of the pendulum's length.
For watches, chronometers, and small clocks
THE SPRING BALANCE
takes the place of the pendulum. We still have an escape-wheel with
teeth of a suitable shape to give impulses to the controlling agent.
There are two forms of spring escapement, but as both employ a
hairspring and balance-wheel we will glance at these before going
further.
[Illustration: FIG. 203.]
The _hairspring_ is made of very fine steel ribbon, tempered to extreme
elasticity, and shaped to a spiral. The inner end is attached to the
arbor of the _balance-wheel_, the outer end to a stud projecting from
the plate of the watch. When the balance-wheel, impelled by the
escapement, rotates, it winds up the spring. The energy thus stored
helps the wheel to revolve the other way during the locking of a tooth
of the escape-wheel. The time occupied by the winding and the unwinding
depends upon the length of the spring. The strength of the impulse makes
no difference. A strong impulse causes the spring to coil itself up more
than a weak impulse would; but inasmuch as more energy is stored the
process of unwinding is hastened. To put the matter very simply--a
strong impulse moves the balance-wheel further, but rotates it quickly;
a weak impulse moves it a shorter distance, but rotates it slowly. In
fact, the principle of the pendulum is also that of the hairspring; and
the duration of a vibration depends on the length of the rod in the one
case, and of the spring in the other.
Motion is transmitted to the balance by one of two methods. Either (1)
directly, by a cylinder escapement; or (2) indirectly, through a lever.
[Illustration: FIG. 204.--"Cylinder" watch escapement.]
THE CYLINDER ESCAPEMENT
is seen in Fig. 204. The escape-wheel has sharp teeth set on stalks.
(One tooth is removed to show the stalk.) The balance-wheel is mounted
on a small steel cylinder, with part of the circumference cut away at
the level of the teeth, so that if seen from above it would appear like
_a_ in our illustration. A tooth is just beginning to shove its point
under the nearer edge of the opening. As it is forced forwards, _b_ is
revolved in a clockwise direction, winding up the hairspring. When the
tooth has passed the nearer edge it flies forward, striking the inside
of the further wall of the cylinder, which holds it while the spring
uncoils. The tooth now pushes its way past the other edge, accelerating
the unwinding, and, as it escapes, the next tooth jumps forward and is
arrested by the outside of the cylinder. The balance now reverses its
motion, is helped by the tooth, is wound up, locks the tooth, and so on.
THE LEVER ESCAPEMENT
is somewhat more complicated. The escape-wheel teeth are locked and
unlocked by the pallets P P^1 projecting from a lever which moves on a
pivot (Fig. 205). The end of the lever is forked, and has a square notch
in it. On the arbor of the balance-wheel is a roller, or plate, R, which
carries a small pin, I. Two pins, B B, projecting from the plate of the
watch prevent the lever moving too far. We must further notice the
little pin C on the lever, and a notch in the edge of the roller.
[Illustration: FIG. 205.--"Lever" watch escapement.]
In the illustration a tooth has just passed under the "impulse face" _b_
of P^1. The lever has been moved upwards at the right end; and its
forked end has given an impulse to R, and through it to the
balance-wheel. The spring winds up. The pin C prevents the lever
dropping, because it no longer has the notch opposite to it, but presses
on the circumference of R. As the spring unwinds it strikes the lever at
the moment when the notch and C are opposite. The lever is knocked
downwards, and the tooth, which had been arrested by the locking-face
_a_ of pallet P, now presses on the impulse face _b_, forcing the left
end of the lever up. The impulse pin I receives a blow, assisting the
unwinding of the spring, and C again locks the lever. The same thing is
repeated in alternate directions over and over again.
COMPENSATING BALANCE-WHEELS.
The watchmaker has had to overcome the same difficulty as the clockmaker
with regard to the expansion of the metal in the controlling agent. When
a metal wheel is heated its spokes lengthen, and the rim recedes from
the centre. Now, let us suppose that we have two rods of equal weight,
one three feet long, the other six feet long. To an end of each we
fasten a 2-lb. weight. We shall find it much easier to wave the shorter
rod backwards and forwards quickly than the other. Why? Because the
weight of the longer rod has more leverage over the hand than has that
of the shorter rod. Similarly, if, while the mass of the rim of a wheel
remains constant, the length of the spokes varies, the effort needed to
rotate the wheel to and fro at a constant rate must vary also. Graham
got over the difficulty with a rod by means of the compensating
pendulum. Thomas Earnshaw mastered it in wheels by means of the
_compensating balance_, using the same principle--namely, the unequal
expansion of different metals. Any one who owns a compensated watch will
see, on stopping the tiny fly-wheel, that it has two spokes (Fig. 206),
each carrying an almost complete semicircle of rim attached to it. A
close examination shows that the rim is compounded of an outer strip of
brass welded to an inner lining of steel. The brass element expands more
with heat and contracts more with cold than steel; so that when the
spokes become elongated by a rise of temperature, the pieces bend
inwards at their free ends (Fig. 207); if the temperature falls, the
spokes are shortened, and the rim pieces bend outwards (Fig. 208).[39]
This ingenious contrivance keeps the leverage of the rim constant
within very fine limits. The screws S S are inserted in the rim to
balance it correctly, and very fine adjustment is made by means of the
four tiny weights W W. In ships' chronometers,[40] the rim pieces are
_sub_-compensated towards their free ends to counteract slight errors in
the primary compensation. So delicate is the compensation that a daily
loss or gain of only half a second is often the limit of error.
[Illustration: FIG. 206. FIG. 207. FIG. 208. A "compensating" watch
balance, at normal, super-normal, and sub-normal temperatures.]
KEYLESS WINDING MECHANISM FOR WATCHES.
The inconvenience attaching to a key-wound watch caused the Swiss
manufacturers to put on the market, in 1851, watches which dispensed
with a separate key. Those of our readers who carry keyless watches will
be interested to learn how the winding and setting of the hands is
effected by the little serrated knob enclosed inside the pendant ring.
There are two forms of "going-barrel" keyless mechanism--(1) The rocking
bar; (2) the shifting sleeve. The _rocking bar_ device is shown in Figs.
209, 210. The milled head M turns a cog, G, which is always in gear with
a cog, F. This cog gears with two others, A and B, mounted at each end
of the rocker R, which moves on pivot S. A spring, S P, attached to the
watch plate presses against a small stud on the rocking bar, and keeps A
normally in gear with C, mounted on the arbor of the mainspring.
[Illustration: FIG. 209.--The winding mechanism of a keyless watch.]
To wind the watch, M is turned so as to give F an anti-clockwise motion.
The teeth of F now press A downwards and keep it in gear with C while
the winding is done. A spring click (marked solid black) prevents the
spring uncoiling (Fig. 209). If F is turned in a clockwise direction it
lifts A and prevents it biting the teeth of C, and no strain is thrown
on C.
To set the hands, the little push-piece P is pressed inwards by the
thumb (Fig. 210) so as to depress the right-hand end of R and bring B
into gear with D, which in turn moves E, mounted on the end of the
minute-hand shaft. The hands can now be moved in either direction by
turning M. On releasing the push-piece the winding-wheels engage again.
The _shifting sleeve_ mechanism has a bevel pinion in the place of G
(Fig. 209) gearing with the mainspring cog. The shaft of the knob M is
round where it passes through the bevel and can turn freely inside it,
but is square below. On the square part is mounted a little sliding
clutch with teeth on the top corresponding with the other teeth on the
under side of the bevel-wheel, and teeth similar to those of G (Fig.
209) at the end. The clutch has a groove cut in the circumference, and
in this lies the end of a spring lever which can be depressed by the
push-piece. The mechanism much resembles on a small scale the motor car
changing gear (Fig. 49). Normally, the clutch is pushed up the square
part of the knob shaft by the spring so as to engage with the bevel and
the winding-wheels. On depressing the clutch by means of the push-piece
it gears with the minute-hand pinion, and lets go of the bevel.
[Illustration: FIG. 210.--The hand-setting mechanism in action.]
In one form of this mechanism the push-piece is dispensed with, and the
minute-wheel pinion is engaged by pulling the knob upwards.
THE HOUR-HAND TRAIN.
[Illustration: FIG. 211.--The hour-hand train of a clock.]
The teeth of the mainspring drum gear with a cog on the minute-hand
shaft, which also carries one of the cogs of the escapement train. The
shaft is permitted by the escapement to revolve once an hour. Fig. 211
shows diagrammatically how this is managed. The hour-hand shaft A (solid
black) can be moved round inside the cog B, driven by the mainspring
drum. It carries a cog, C. This gears with a cog, D, having three times
as many teeth. The cog E, united to D, drives cog F, having four times
as many teeth as E. To F is attached the collar G of the hour-hand. F
and G revolve outside the minute-hand shaft. On turning A, C turns D and
E, E turns F and the hour-hand, which revolves 1/3 of 1/4 = 1/12 as fast
as A.[41]
* * * * *
LOCKS.
On these unfortunately necessary mechanisms a great deal of ingenuity
has been expended. With the advance of luxury and the increased worship
of wealth, it becomes more and more necessary to guard one's belongings
against the less scrupulous members of society.
[Illustration: FIG. 212.]
The simplest form of lock, such as is found in desks and very cheap
articles, works on the principle shown in Fig. 212. The bolt is split at
the rear, and the upper part bent upwards to form a spring. The under
edge has two notches cut in it, separated by a curved excrescence. The
key merely presses the bolt upwards against the spring, until the notch,
engaging with the frame, moves it backwards or forwards until the spring
drives the tail down into the other notch. This primitive device
affords, of course, very little security. An advance is seen in the
TUMBLER LOCK.
[Illustration: FIG. 213.]
The bolt now can move only in a horizontal direction. It has an opening
cut in it with two notches (Figs. 213, 214). Behind the bolt lies the
_tumbler_ T (indicated by the dotted line), pivoted at the angle on a
pin. From the face of the tumbler a stud, S, projects through the hole
in the bolt. This stud is forced into one or other of the notches by the
spring, S^1, which presses on the tail of the tumbler.
[Illustration: FIG. 214.]
In Fig. 213 the key is about to actuate the locking mechanism. The next
diagram (Fig. 214) shows how the key, as it enters the notch on the
lower side of the bolt to move it along, also raises the tumbler stud
clear of the projection between the two notches. By the time that the
bolt has been fully "shot," the key leaves the under notch and allows
the tumbler stud to fall into the rear locking-notch.
A lock of this type also can be picked very easily, as the picker has
merely to lift the tumbler and move the bolt along. Barron's lock,
patented in 1778, had two tumblers and two studs; and the opening in the
bolt had notches at the top as well as at the bottom (Fig. 215). This
made it necessary for both tumblers to be raised simultaneously to
exactly the right height. If either was not lifted sufficiently, a stud
could not clear its bottom notch; if either rose too far, it engaged an
upper notch. The chances therefore were greatly against a wrong key
turning the lock.
[Illustration: FIG. 215.--The bolt of a Barron lock.]
THE CHUBB LOCK
is an amplification of this principle. It usually has several tumblers
of the shape shown in Fig. 216. The lock stud in these locks projects
from the bolt itself, and the openings, or "gates," through which the
stud must pass as the lock moves, are cut in the tumblers. It will be
noticed that the forward notch of the tumbler has square serrations in
the edges. These engage with similar serrations in the bolt stud and
make it impossible to raise the tumbler if the bolt begins to move too
soon when a wrong key is inserted.
[Illustration: FIG. 216.--Tumbler of Chubb lock.]
Fig. 217 is a Chubb key with eight steps. That nearest the head (8)
operates a circular revolving curtain, which prevents the introduction
of picking tools when a key is inserted and partly turned, as the key
slot in the curtain is no longer opposite that in the lock. Step 1 moves
the bolt.
[Illustration: FIG. 217.--A Chubb key.]
In order to shoot the bolt the height of the key steps must be so
proportioned to the depth of their tumblers that all the gates in the
tumblers are simultaneously raised to the right level for the stud to
pass through them, as in Fig. 218. Here you will observe that the
tumbler D on the extreme right (lifted by step 2 of the key) has a stud,
D S, projecting from it over the other tumblers. This is called the
_detector tumbler_. If a false key or picking tool is inserted it is
certain to raise one of the tumblers too far. The detector is then
over-lifted by the stud D S, and a spring catch falls into a notch at
the rear. It is now impossible to pick the lock, as the detector can be
released only by the right key shooting the bolt a little further in the
locking direction, when a projection on the rear of the bolt lifts the
catch and allows the tumbler to fall. The detector also shows that the
lock has been tampered with, since even the right key cannot move the
bolt until the overlocking has been performed.
[Illustration: FIG. 218.--A Chubb key raising all the tumblers to the
correct height.]
Each tumbler step of a large Chubb key can be given one of thirty
different heights; the bolt step one of twenty. By merely transposing
the order of the steps in a six-step key it is possible to get 720
different combinations. By diminishing or increasing the heights the
possible combinations may be raised to the enormous total of 7,776,000!
[Illustration: FIG. 219.--Section of a Yale lock.]
THE YALE LOCK,
which comes from America, works on a quite different system. Its most
noticeable feature is that it permits the use of a very small key,
though the number of combinations possible is still enormous (several
millions). In our illustrations (Figs. 219, 220, 221) we show the
mechanism controlling the turning of the key. The keyhole is a narrow
twisted slot in the face of a cylinder, G (Fig. 219), which revolves
inside a larger fixed cylinder, F. As the key is pushed in, the notches
in its upper edge raise up the pins A^1, B^1, C^1, D^1, E^1,
until their tops exactly reach the surface of G, which can now be
revolved by the key in Fig. 220, and work the bolt through the medium of
the arm H. (The bolt itself is not shown.) If a wrong key is inserted,
either some of the lower pins will project upwards into the fixed
cylinder F (see Fig. 221), or some of the pins in F will sink into G. It
is then impossible to turn the key.
[Illustration: FIG. 220.--Yale key turning.]
There are other well-known locks, such as those invented by Bramah and
Hobbs. But as these do not lend themselves readily to illustration no
detailed account can be given. We might, however, notice the _time_
lock, which is set to a certain hour, and can be opened by the right key
or a number of keys in combination only when that hour is reached.
Another very interesting device is the _automatic combination_ lock.
This may have twenty or more keys, any one of which can lock it; but the
same one must be used to _un_lock it, as the key automatically sets the
mechanism in favour of itself. With such a lock it would be possible to
have a different key for every day in the month; and if any one key got
into wrong hands it would be useless unless it happened to be the one
which last locked the lock.
[Illustration: FIG. 221.--The wrong key inserted. The pins do not allow
the lock to be turned.]
* * * * *
THE CYCLE.
There are a few features of this useful and in some ways wonderful
contrivance which should be noticed. First,
THE GEARING OF A CYCLE.
To a good many people the expression "geared to 70 inches," or 65, or
80, as the case may be, conveys nothing except the fact that the higher
the gear the faster one ought to be able to travel. Let us therefore
examine the meaning of such a phrase before going farther.
The safety cycle is always "geared up"--that is, one turn of the pedals
will turn the rear wheel more than once. To get the exact ratio of
turning speed we count the teeth on the big chain-wheel, and the teeth
on the small chain-wheel attached to the hub of the rear wheel, and
divide the former by the latter. To take an example:--The teeth are 75
and 30 in number respectively; the ratio of speed therefore = 75/30 =
5/2 = 2-1/2. One turn of the pedal turns the rear wheel 2-1/2 times. The
gear of the cycle is calculated by multiplying this result by the
diameter of the rear wheel in inches. Thus a 28-inch wheel would in this
case give a gear of 2-1/2 x 28 = 70 inches.
One turn of the pedals on a machine of this gear would propel the rider
as far as if he were on a high "ordinary" with the pedals attached
directly to a wheel 70 inches in diameter. The gearing is raised or
lowered by altering the number ratio of the teeth on the two
chain-wheels. If for the 30-tooth wheel we substituted one of 25 teeth
the gearing would be--
75/25 x 28 inches = 84 inches.
A handy formula to remember is, gearing = T/_t_ x D, where T = teeth on
large chain-wheel; _t_ = teeth on small chain-wheel; and D = diameter of
driving-wheel in inches.
Two of the most important improvements recently added to the cycle
are--(1) The free wheel; (2) the change-speed gear.
THE FREE WHEEL
is a device for enabling the driving-wheel to overrun the pedals when
the rider ceases pedalling; it renders the driving-wheel "free" of the
driving gear. It is a ratchet specially suited for this kind of work.
From among the many patterns now marketed we select the Micrometer
free-wheel hub (Fig. 222), which is extremely simple. The
_ratchet-wheel_ R is attached to the hub of the driving-wheel. The small
chain-wheel (or "chain-ring," as it is often called) turns outside this,
on a number of balls running in a groove chased in the neck of the
ratchet. Between these two parts are the _pawls_, of half-moon shape.
The driving-wheel is assumed to be on the further side of the ratchet.
To propel the cycle the chain-ring is turned in a clockwise direction.
Three out of the six pawls at once engage with notches in the ratchet,
and are held tightly in place by the pressure of the chain-ring on their
rear ends. The other three are in a midway position.
[Illustration: FIG. 222.]
When the rider ceases to pedal, the chain-ring becomes stationary, but
the ratchet continues to revolve. The pawls offer no resistance to the
ratchet teeth, which push them up into the semicircular recesses in the
chain-ring. Each one rises as it passes over a tooth. It is obvious
that driving power cannot be transmitted again to the road wheel until
the chain-wheel is turned fast enough to overtake the ratchet.
THE CHANGE-SPEED GEAR.
A gain in speed means a loss in power, and _vice versa_. By gearing-up a
cycle we are able to make the driving-wheel revolve faster than the
pedals, but at the expense of control over the driving-wheel. A
high-geared cycle is fast on the level, but a bad hill-climber. The
low-geared machine shows to disadvantage on the flat, but is a good
hill-climber. Similarly, the express engine must have large
driving-wheels, the goods engine small driving-wheels, to perform their
special functions properly.
In order to travel fast over level country, and yet be able to mount
hills without undue exertion, we must be able to do what the motorist
does--change gear. Two-speed and three-speed gears are now very commonly
fitted to cycles. They all work on the same principle, that of the
epicyclic train of cog-wheels, the mechanisms being so devised that the
hub turns more slowly than, at the same speed as, or faster than the
small chain-wheel,[42] according to the wish of the rider.
We do not propose to do more here than explain the principle of the
epicyclic train, which means "a wheel on (or running round) a wheel."
Lay a footrule on the table and roll a cylinder along it by the aid of a
second rule, parallel to the first, but resting on the cylinder. It will
be found that, while the cylinder advances six inches, the upper rule
advances twice that distance. In the absence of friction the work done
by the agent moving the upper rule is equal to that done in overcoming
the force which opposes the forward motion of the cylinder; and as the
distance through which the cylinder advances is only half that through
which the upper rule advances, it follows that the _force_ which must
act on the upper rule is only half as great as that overcome in moving
the cylinder. The carter makes use of this principle when he puts his
hand to the top of a wheel to help his cart over an obstacle.
[Illustration: FIG. 223.]
[Illustration: FIG. 224.]
[Illustration: FIG. 225.]
Now see how this principle is applied to the change-speed gear. The
lower rule is replaced by a cog-wheel, C (Fig. 223); the cylinder by a
cog, B, running round it; and the upper rule by a ring, A, with internal
teeth. We may suppose that A is the chain-ring, B a cog mounted on a pin
projecting from the hub, and C a cog attached to the fixed axle. It is
evident that B will not move so fast round C as A does. The amount by
which A will get ahead of B can be calculated easily. We begin with the
wheels in the position shown in Fig. 223. A point, I, on A is exactly
over the topmost point of C. For the sake of convenience we will first
assume that instead of B running round C, B is revolved on its axis for
one complete revolution in a clockwise direction, and that A and C move
as in Fig. 224. If B has 10 teeth, C 30, and A 40, A will have been
moved 10/40 = 1/4 of a revolution in a clockwise direction, and C 10/30
= 1/3 of a revolution in an anti-clockwise direction.
Now, coming back to what actually does happen, we shall be able to
understand how far A rotates round C relatively to the motion of B, when
C is fixed and B rolls (Fig. 225). B advances 1/3 of distance round C; A
advances 1/3 + 1/4 = 7/12 of distance round B. The fractions, if reduced
to a common denominator, are as 4:7, and this is equivalent to 40
(number of teeth on A): 40 + 30 (teeth on A + teeth on C.)
To leave the reader with a very clear idea we will summarize the matter
thus:--If T = number of teeth on A, _t_ = number of teeth on C, then
movement of A: movement of B:: T + _t_: T.
Here is a two-speed hub. Let us count the teeth. The chain-ring (= A)
has 64 internal teeth, and the central cog (= C) on the axle has 16
teeth. There are four cogs (= B) equally spaced, running on pins
projecting from the hub-shell between A and C. How much faster than B
does A run round C? Apply the formula:--Motion of A: motion of B:: 64 +
16: 64. That is, while A revolves once, B and the hub and the
driving-wheel will revolve only 64/80 = 4/5 of a turn. To use scientific
language, B revolves 20 per cent. slower than A.
This is the gearing we use for hill-climbing. On the level we want the
driving-wheel to turn as fast as, or faster than, the chain-ring. To
make it turn at the same rate, both A and C must revolve together. In
one well-known gear this is effected by sliding C along the spindle of
the wheel till it disengages itself from the spindle, and one end locks
with the plate which carries A. Since B is now being pulled round at the
bottom as well as the top, it cannot rotate on its own axis any longer,
and the whole train revolves _solidly_--that is, while A turns through a
circle B does the same.
To get an _increase_ of gearing, matters must be so arranged that the
drive is transmitted from the chain-wheel to B, and from A to the hub.
While B describes a circle, A and the driving-wheel turn through a
circle and a part of a circle--that is, the driving-wheel revolves
faster than the hub. Given the same number of teeth as before, the
proportional rates will be A = 80, B = 64, so that the gear _rises_ 25
per cent.
By means of proper mechanism the power is transmitted in a three-speed
gear either (1) from chain-wheel to A, A to B, B to wheel = _low_ gear;
or (2) from chain-wheel to A and C simultaneously = solid, normal, or
_middle_ gear; or (3) from chain-wheel to B, B to A, A to wheel = _high_
gear. In two-speed gears either 1 or 3 is omitted.
* * * * *
AGRICULTURAL MACHINES.
THE THRESHING-MACHINE.
Bread would not be so cheap as it is were the flail still the only means
of separating the grain from the straw. What the cream separator has
done for the dairy industry (p. 384), the threshing-machine has done for
agriculture. A page or two ought therefore to be spared for this useful
invention.
[Illustration: FIG. 226.--Section of a threshing machine.]
In Fig. 226 a very complete fore-and-aft section of the machine is
given. After the bands of the sheaves have been cut, the latter are fed
into the mouth of the _drum_ A by the feeder, who stands in the
feeding-box on the top of the machine. The drum revolves at a very high
velocity, and is fitted with fluted beaters which act against a steel
concave, or breastwork, B, the grain being threshed out of the straw in
passing between the two. The breastwork is provided with open wires,
through which most of the threshed grain, cavings (short straws), and
chaff passes on to a sloping board. The straw is flung forward on to the
shakers C, which gradually move the straw towards the open end and throw
it off. Any grain, etc., that has escaped the drum falls through the
shakers on to D, and works backwards to the _caving riddles_, or moving
sieves, E. The _main blower_, by means of a revolving fan, N, sends air
along the channel X upwards through these riddles, blowing the short
straws away to the left. The grain, husks, and dust fall through E on to
G, over the end of which they fall on to the _chaff riddle_, H. A second
column of air from the blower drives the chaff away. The heavy grain,
seeds, dust, etc., fall on to I, J, and K in turn, and are shaken until
only the grain remains to pass along L to the elevator bottom, M. An
endless band with cups attached to it scoops up the grain, carries it
aloft, and shoots it into hopper P. It then goes through the shakers Q,
R, is dusted by the _back end blower_, S, and slides down T into the
open end of the rotary screen-drum U, which is mounted on the slope, so
that as it turns the grain travels gradually along it. The first half of
the screen has wires set closely together. All the small grain that
falls through this, called "thirds," passes into a hopper, and is
collected in a sack attached to the hopper mouth. The "seconds" fall
through the second half of the drum, more widely spaced, into their
sack; and the "firsts" fall out of the end and through a third spout.
MOWING-MACHINES.
[Illustration: FIG. 227.]
The ordinary _lawn--mower_ employs a revolving reel, built up of
spirally-arranged knives, the edges of which pass very close to a sharp
plate projecting from the frame of the mower. Each blade, as it turns,
works along the plate, giving a shearing cut to any grass that may be
caught between the two cutting edges. The action is that of a pair of
scissors (Fig. 227), one blade representing the fixed, the other the
moving knife. If you place a cylinder of wood in the scissors it will be
driven forward by the closing of the blades, and be marked by them as
it passes along the edges. The same thing happens with grass, which is
so soft that it is cut right through.
HAY-CUTTER.
The _hay-cutter_ is another adaptation of the same principle. A
cutter-bar is pulled rapidly backwards and forwards in a frame which
runs a few inches above the ground by a crank driven by the wheels
through gearing. To the front edge of the bar are attached by one side a
number of triangular knives. The frame carries an equal number of spikes
pointing forward horizontally. Through slots in these the cutter-bar
works, and its knives give a drawing cut to grass caught between them
and the sides of the spikes.
* * * * *
SOME NATURAL PHENOMENA.
WHY SUN-HEAT VARIES IN INTENSITY.
The more squarely parallel heat-rays strike a surface the greater will
be the number that can affect that surface. This is evident from Figs.
228, 229, where A B is an equal distance in both cases. The nearer the
sun is to the horizon, the more obliquely do its rays strike the earth.
Hence midday is necessarily warmer than the evening, and the tropics,
where the sun stands overhead, are hotter than the temperate zones,
where, even in summer at midday, the rays fall more or less on the
slant.
[Illustration: FIG. 228.]
[Illustration: FIG. 229.]
The atmospheric envelope which encompasses the earth tends to increase
the effect of obliquity, since a slanting ray has to travel further
through it and is robbed of more heat than a vertical ray.
THE TIDES.
All bodies have an attraction for one another. The earth attracts the
moon, and the moon attracts the earth. Now, though the effect of this
attraction is not visible as regards the solid part of the globe, it is
strongly manifested by the water which covers a large portion of the
earth's surface. The moon attracts the water most powerfully at two
points, that nearest to it and that furthest away from it; as shown on
an exaggerated scale in Fig. 230. Since the earth and the water revolve
as one mass daily on their axis, every point on the circumference would
be daily nearest to and furthest from the moon at regular intervals, and
wherever there is ocean there would be two tides in that period, were
the moon stationary as regards the earth. (It should be clearly
understood that the tides are not great currents, but mere thickenings
of the watery envelope. The inrush of the tide is due to the temporary
rise of level.)
[Illustration: FIG. 230.]
[Illustration: FIG. 231.]
WHY HIGH TIDE VARIES DAILY.
The moon travels round the earth once in twenty-eight days. In Fig. 231
the point _a_ is nearest the moon at, say, twelve noon. At the end of
twenty-four hours it will have arrived at the same position by the
compass, but yet not be nearest to the moon, which has in that period
moved on 1/28th of a revolution round the earth.[43] Consequently high
tide will not occur till _a_ has reached position _b_ and overtaken the
moon, as it were, which takes about an hour on the average. This
explains why high tide occurs at intervals of more than twelve hours.
[Illustration: FIG. 232.--Relative positions of sun, moon, and earth at
"spring" tides.]
[Illustration: FIG. 233.--Relative positions of sun, moon, and earth at
"neap" tides.]
NEAP TIDES AND SPRING TIDES.
The sun, as well as the moon, attracts the ocean, but with less power,
owing to its being so much further away. At certain periods of the
month, sun, earth, and moon are all in line. Sun and moon then pull
together, and we get the highest, or _spring_ tides (Fig. 232). When sun
and moon pull at right angles to one another--namely, at the first and
third quarters--the excrescence caused by the moon is flattened (Fig.
233), and we get the lowest, or _neap_ tides.
[39] In both Figs. 207 and 208 the degree of expansion is very greatly
exaggerated.
[40] As the sun passes the meridian (twelve o'clock, noon) the
chronometer's reading is taken, and the longitude, or distance east or
west of Greenwich, is reckoned by the difference in time between local
noon and that of the chronometer.
[41] For much of the information given here about clocks and watches the
author is indebted to "The History of Watches," by Mr. J.F. Kendal.
[42] We shall here notice only those gears which are included in the hub
of the driving-wheel.
[43] The original position of the moon is indicated by the dotted
circle.
INDEX.
NOTE.--Figures in italics signify that an illustration of the thing
referred to appears on the page.
Aberration, spherical, of lens, 243.
Acoustics, 294.
Achromatic lens, 243.
Action carriage of piano, 283.
Advancing the spark, 102.
Air-gun, _342_.
Air-pump for cycle tyres, _340_;
for Westinghouse brake, 199.
Alternating currents, 164;
dynamo, 164.
Amperage, 125.
Angle of advance, 57, 58;
incidence, 268;
reflection, 268.
Aorta, 360.
Arc lamp, 182.
Archimedes, 412.
Armature, 162.
Arteries, 358.
Arterial blood, 359.
Atmospheric pressure, 350.
Auditory nerve, 272.
Automatic brakes, 188;
signalling, 228;
stoker, 399.
Backfall, 298.
Balance-wheel, 419.
Ball cock, 366, _367_.
Balloon, fire, 323;
gas, 347.
Barometer, aneroid, 328, _329_;
and weather, 331;
Fortin's, _326_;
meaning of, 325;
simple, _328_;
wheel, _327_.
Beau de Rochas, 89.
Bell, diving, _332_;
electric, 119, _120_.
Bellows of organ, 303.
Bioscope, 266.
Blades, turbine, _81_, 83.
Block system, 201, 212.
Blood, arterial, 359;
circulation of, _356_, _357_, 360;
venous, 359.
Blower-plate, 393, _394_.
Boat, sails of, 346.
Boiler, Babcock and Wilcox, _21_, 22;
explosions, 34, 391;
fire-tube, 21;
fittings, 31;
Lancashire, 25, _26_;
locomotive, _20_, 23;
multitubular, 21;
principle of, 15;
stored energy in, 32;
vertical, _25_;
water supply to, 39;
water-tube, 21.
Brakes, hydraulic, 188;
motor car, 110;
railway, 187;
vacuum, 189, _190_, _191_;
Westinghouse, 194, _195_, _197_.
Bramah, 363, 437.
Breezes, land and sea, 324.
Brushes of dynamo, 161, _172_.
Bunsen burner, 409.
Burning-glass, 232.
Camera, the, 233;
pinhole, _234_, _235_.
Canals, semicircular, 273.
Capillary attraction, 392;
veins, 358.
Carbon dioxide, 27, 359;
monoxide, 27.
Carburetter, 98, _99_.
Cardan shaft, 93.
_Carmania_, the, 83.
Centrifugal force, 382.
Change-speed gear, 105, 442.
Chassis of motor car, 92.
Circulation of water in a boiler, _17_, _18_, _19_;
of water in a motor car, 95, _97_.
Clarionet, 308.
Clock, first weight-driven, 412;
water, 410.
Clutch of motor car, 105.
Coal, as fuel, 15;
gas, 394;
gas making, 394;
gas plant, _396_;
gas, purification of, 397.
Cochlea, 273.
Coherer, 140.
Coil, Ruhmkorff, 121.
Coke, 395.
Combinations in Chubb lock, 436;
Yale lock, 436.
Combustion, 26, 393;
perfect, 28.
Compensating gear, 107, _108_.
Compound engines, 59;
arrangement of, 61;
invention of, 59.
Compound locomotives, 62.
Compound microscope, 261.
Condenser, marine, 71, _72_;
of Ruhmkorff coil, 123.
Conduit, 176.
Convex lens, image cast by, _236_.
Conjugate foci, 262.
Cornet, 308.
Corti, rods of, 274.
Coxwell, 348.
Cream separator, 381, _383_.
Current, reversal of electric, _130_, 131;
transformation of, 124.
Cushioning of steam, 55.
Cycle, gearing of, 439.
Cylinder, hydraulic press, _363_;
steam, _49_.
Danes, 382.
Dead point, 47.
De Brouwer stoker, 401.
Detector in Chubb lock, 435.
Diving-bell, _332_;
simple, _333_, _334_.
Diving-dress, 335.
Direction of current in dynamo circuit, 163.
Diver's feats, 338;
helmet, _336_;
lamp, _338_.
Donkey-engines, 68.
Doorstop, self-closing, 344.
Double-cylinder engines, 47.
Draught, forced, 28, _29_;
induced, 29.
Drum and fusee, _414_.
Durability of motor-car engine, 96.
D-valve, 67.
Dynamo, alternating, 164, 174;
brushes, _172_;
compound, 174;
continuous-current, 165;
multipolar, 169;
series wound, _173_;
shunt wound, _173_;
simple, 161, _162_.
Ear, the, _271_, _273_;
a good, 274, 307;
sensitiveness of, 275.
Eccentric, _52_, 53;
setting of, 53.
Edison, Thomas, 310.
Edison-Bell phonograph, 310.
Electricity, current, 115;
forms of, 113;
nature of, 112;
static, 114.
Electric bell, 119, _120_;
signalling, 225;
slot, 226.
Electroplating, 185, _186_.
Electro-magnets, 117.
Endolymph, 272.
Engines, compound, 59;
donkey, 68;
double-cylinder, 47;
internal-combustion, 87, 95;
reciprocating, 44.
Escapement of timepieces, 416;
cylinder, _420_;
lever, 421, _422_.
Ether, 270.
Eustachian tube, 276.
Eye, human, 246, _247_;
self-accommodation of, 248.
Expansive working of steam, 56.
Faraday, Michael, 159.
Field, magnetic, 159;
magnets, 171;
ring, 174.
Filters, 374;
Maignen, _373_;
Berkefeld, 374.
Filtration beds, 372.
Flute, 308.
Flying-machines, 348.
Fly-wheel, use of, 48.
Focus, meaning of, 237;
principal, 238.
Foci, conjugate, 262.
Force, lines of, 116.
Forces, component, 345.
Free wheel, _440_.
Furring-up of pipes, 391.
Fusee, drum and, 414.
Galileo, 259, 325, 416.
Galilean telescope, _259_.
Gas, coal, 394;
governor, 402;
meter, 405;
traps, 374;
works, 394.
Gasometer, 397;
largest, _398_, 399.
Gauge, steam, 36, _38_;
water, 35, _36_.
Gear, compensating, 107, _108_.
Gear-box of motor car, 105.
Gearing of cycle, 439.
Glaisher, 348.
Gland, 50, 363.
Glass, flint and crown, 242.
Going-barrel for watches, 415.
Gooch reversing gear, 65.
Governors, speed, 67;
of motor car, 103, _104_.
Graham, 418.
Gramophone, 317;
records, 319, 321;
reproducer, _318_.
Hairspring, 412.
Hay-cutter, 451.
Heart, the, 355;
disease, 361;
rate of pulsation of, 361;
size of, 357.
Heat of sun, 451.
Hele, Peter, 412.
Helmet, diver's, _336_.
Helmholtz, 274, 308.
Hero of Alexandria, 74.
Herschel, 261.
Hertz, Dr., 138.
Hertzian waves, 138.
Hot-water supply, 386.
Hour-hand train in timepieces, _429_.
Household water supply, 364.
Hughes type-printer, 134.
Hydraulic press, 361, _362_.
Hydro, 385.
Ignition of charge in motor-car cylinder, 100, _101_.
Image and object, relative positions of, 239;
distortion of, 245.
Incandescent gas mantle, 407;
electric lamp, 179.
Incus, 272.
Index mechanism of water-meter, 37.
Indicator of electric bell, 119.
Induction coil, 121;
uses of, 125.
Injector, 39;
Giffard's, _41_;
principle of, 40;
self-starting, 42.
Interlocking of signals, 204, 222.
Internal-combustion engine, 87.
Iris of eye, 249;
stop, 249.
Kelvin, Lord, 158.
Keyless winding mechanism, 425, _426_, 428.
Kite, 345.
Lamp, arc, 182;
how it works, 392;
incandescent, 179;
manufacture of incandescent lamps, 180.
Lap of slide-valve, _57_, 59.
Larynx, 306.
Laxey wheel, _380_, 381.
Leads, 208.
Lenses, 231;
correction of for colour, 240, _241_;
focus of, 236;
rectilinear, _245_;
spherical aberration in, 243.
Levers, signal, colours of, 208.
Limit of error in cylinder, 52.
Light, electric, 179;
nature of, 230;
propagation of, 231.
Li Hung Chang, 157.
Lindsay, James Bowman, 145.
Lines of force, 116, 162.
"Linking up," 65.
Locks, 430;
Barron, 433;
Bramah, 437;
Chubb, 433, 434;
Hobbs, 437;
simplest, _431_;
tumbler, _432_;
Yale, _436_.
Locking gear for signals, 205.
Locomotive, electric, 178;
advantages of, 179.
Lungs, 359.
Magic-lantern, 263, _264_.
Magnet, 115;
permanent, 115, 116;
temporary, 115.
Magnetism, 115.
Magnetic needle, influence of current on, 129.
Mainspring, invention of, 412.
Malleus, 272.
Marconi, 140, 146.
Marine chronometers, 415;
delicacy of, 425.
Marine speed governor, 71.
Marine turbine, advantages of, 84.
Maudslay, Henry, 363.
Maxim, Sir Hiram, 348.
Micrometer free wheel, 441.
Micro-photography, 265.
Microscope, 254;
compound, 261, _263_;
in telescope, 257;
simple, _254_.
Mineral oil, 392.
Mirror, parabolic, 261, _262_;
plane, _267_.
Morse, 132, 145;
code, 128;
inker, 142;
sounder, 132.
Motor car, the, 92;
electric, 177.
Mouth, 307.
Mowing-machines, 450.
Musical sounds, 277.
Nerve, auditory, 272;
optic, 246.
Nodes on a string, 285;
column of air, 291.
Note, fundamental, 285;
quality of, 285.
Niagara Falls, power station at, 174.
Organ, the, 294, _300_;
bellows, 303;
console, 305;
echo, solo, swell, great, and choir, 301;
electric and pneumatic, 305;
largest in the world, 306;
pedals, 298;
pipes, 295;
pipes, arrangement of, 295;
sound-board, _296_;
wind-chest, 297.
Otto cycle, 91.
Overtones, 285.
Pallets of organ, 297.
Parallel arrangement of electric lamps, 184.
Paris, siege of, 265.
Pedals of organ, 298.
Pelton wheel, _377_.
Pendulum, 412;
compensating, 418, _419_.
Perilymph, 272.
Perry, Professor, 16.
Petrol, 98.
Phonograph, 310;
governor, _311_;
recorder, 312, _313_;
records, making of, 319;
reproducer, 315;
tracings on record of, _317_.
Pianoforte, 277;
sounding-board, 280;
striking mechanism, 281;
strings, 281.
Piccolo, 308.
Pipes, closed, 289;
flue, 301;
open, 292;
organ, 295;
reed, 301, _302_;
tuning, 302.
Piston valve, 67.
Pneumatic tyres, 341.
Poldhu, signalling station at, 138.
Points, railway, 208, _210_;
and signals in combination, 211.
Poles of a magnet, 115.
Popoff, Professor A., 138, 145.
Power, transmission of, 175.
Preece, Sir William, 145.
Primary winding of induction coil, 122.
Pump, air, 340;
bucket, 352, _353_;
force, 354;
most marvellous, 355;
Westinghouse air, 199.
Railway brakes, 187;
signalling, 200.
Rays, converging and diverging, _256_;
heat, concentrated by lens, _232_;
light, 232, 235, 236, 237.
Records, master, 319, 320.
Reciprocation, 51.
Reed, human, 306;
pipes, 301, _302_.
Reflecting telescope, 260.
Relays, telegraphic, 133, 141.
Retina, 247.
Retorts, 395.
Reversing gear, 62;
Allan, 65;
Gooch, 65;
radial, 66.
Rocking bar mechanism for watches, 425.
Rods of Corti, 274.
Ruhmkorff coil, 121, _122_.
Safety-valve, 32, _33_, 391.
Sand-glasses, 411.
Scissors, action of, _450_.
Secondary winding of induction coil, 122.
Series arrangement of electric lamps, 183.
Series winding of dynamo, _173_.
Shunt wound dynamo, _173_.
Sight, long and short, 250.
Signalling, automatic, 228;
electric, 225;
pneumatic, 225;
power, 225.
Signal levers, _206_.
Signals, interlocking of, 204;
position of, 202;
railway, 200;
single line, 215.
Silencer on motor cars, 109.
Siphon, _351_.
Slide-valve, 49, 50, 51;
setting of, 53.
Sliders, 297.
Sound, nature of, 270;
board of organ, 296;
board of piano, 280.
Spagnoletti disc instrument, 212.
Sparking-plug, _102_.
Spectacles, use of, 249.
Spectrum, colours of, 230.
Speed governors, 67, _68_, _69_;
Hartwell, 70;
marine, 71.
Speed of motor cars, 110.
Spot, blind, in eye, 251;
yellow, in eye, 251.
Spring balance for watches, 419;
compensating, 423, _424_.
Stapes, 272.
Steam, what it is, 13;
energy of, 14;
engines, 44;
engines, reciprocating, _45_;
expansive working of, 59, 81;
gauge, 36;
gauge, principle of, 37;
turbine, 74;
turbine, De Laval, 76, _77_;
turbine, Hero's, 74;
turbine, Parsons, 79, _80_;
volume of, as compared with water, 15.
Stephenson, George, 63, 375.
Stop, in lens, 244;
iris, 249;
use of, 244.
Sun-dial of Ahaz, 410.
Syntonic transmission of wireless messages, 143.
Talking-machines, 310.
Tapper in wireless telegraphy receiver, 141.
Tappet arm, 205.
Telegraph, electric, 127;
insulator, _133_;
needle, _128_;
recording, 133;
sounder, 132.
Telegraphy, high-speed, 135;
wireless, 137.
Telephone, 147;
Bell, _148_;
circuit, double-line, 155;
circuit, general arrangement, _152_, 153;
exchange, _154_, 155.
Telephony, submarine, 157.
Telescope, 257;
Galilean, _259_;
prismatic, _260_;
reflecting, 260;
terrestrial, _259_.
Threshing-machine, 447, _448_.
Thurston, Professor, 31.
Tides, 452;
high, 453;
neap and spring, 455.
Timbre, 285.
Tompion, Thomas, 412.
Torricelli, 325.
Trachea, 306.
Train staff signalling, 216;
single, 216;
and ticket, 217;
electric, 218.
Transformation of current, 124, 176.
Transmission of power, 174, _175_.
Transmitter, Edison telephone, 150;
granular carbon, 150, _151_.
Triple-valve, 196.
Trolley arm, 176.
Turbines, steam, 74.
_Turbinia_, the, 79.
Tympanum, 137, 271, 272.
Universal joint, 93.
Vacuum brake, 189, _190_, _191_.
Vacuum chamber of aneroid barometer, _330_.
Valve, piston, 67;
safety, 32;
of internal-combustion engine, 89.
Valves of the heart, 357.
Veins, 358;
capillary, 358;
pulmonary, 361.
Ventral segments, 291.
Ventricles, 357.
Vibration of columns of air, 288, 289;
of rods, 287;
of strings, 278;
of strings, conditions regulating, 278.
_Viper_, the, 86.
Virag, Pollak--high-speed telegraphy, 136.
Vitreous humour, 246.
Voltage, 121, 161.
Vowel sounds, 308.
Wasborough, Matthew, 51.
Watches, first, 412.
Water cock, _365_;
engines, 375;
gauge, 35, _36_;
jacket, 19, 95;
meter, _368_;
supply, 371;
turbines, 174, 376;
wheels, 375.
Watt, James, 51, 69, 375.
Welsbach incandescent mantle, 407.
Westinghouse air-brake, 194, _195_, _197_;
George, 194.
Wheatstone needle instrument, 128, 131;
automatic transmitter, 135.
Wind, why it blows, 323;
action of on kites, 345;
on sails, 346.
Windmills, 375.
Window, oval, in ear, 272;
round, in ear, 272.
Wireless telegraphy, 137;
advance of, 145;
receiver, 140, 141;
syntonic, 143;
transmitter, 138, _139_.
Yale lock, _436_, _437_.
Yellow spot, in eye, 251.
Zech, Jacob, 414.
Zeiss field-glasses, 260.
THE END.
End of the Project Gutenberg EBook of How it Works, by Archibald Williams
*** END OF THIS PROJECT GUTENBERG EBOOK HOW IT WORKS ***
***** This file should be named 28553.txt or 28553.zip *****
This and all associated files of various formats will be found in:
https://www.gutenberg.org/2/8/5/5/28553/
Produced by Steven Gibbs, Greg Bergquist and the Online
Distributed Proofreading Team at https://www.pgdp.net
Updated editions will replace the previous one--the old editions
will be renamed.
Creating the works from public domain print editions means that no
one owns a United States copyright in these works, so the Foundation
(and you!) can copy and distribute it in the United States without
permission and without paying copyright royalties. Special rules,
set forth in the General Terms of Use part of this license, apply to
copying and distributing Project Gutenberg-tm electronic works to
protect the PROJECT GUTENBERG-tm concept and trademark. Project
Gutenberg is a registered trademark, and may not be used if you
charge for the eBooks, unless you receive specific permission. If you
do not charge anything for copies of this eBook, complying with the
rules is very easy. You may use this eBook for nearly any purpose
such as creation of derivative works, reports, performances and
research. They may be modified and printed and given away--you may do
practically ANYTHING with public domain eBooks. Redistribution is
subject to the trademark license, especially commercial
redistribution.
*** START: FULL LICENSE ***
THE FULL PROJECT GUTENBERG LICENSE
PLEASE READ THIS BEFORE YOU DISTRIBUTE OR USE THIS WORK
To protect the Project Gutenberg-tm mission of promoting the free
distribution of electronic works, by using or distributing this work
(or any other work associated in any way with the phrase "Project
Gutenberg"), you agree to comply with all the terms of the Full Project
Gutenberg-tm License (available with this file or online at
https://gutenberg.org/license).
Section 1. General Terms of Use and Redistributing Project Gutenberg-tm
electronic works
1.A. By reading or using any part of this Project Gutenberg-tm
electronic work, you indicate that you have read, understand, agree to
and accept all the terms of this license and intellectual property
(trademark/copyright) agreement. If you do not agree to abide by all
the terms of this agreement, you must cease using and return or destroy
all copies of Project Gutenberg-tm electronic works in your possession.
If you paid a fee for obtaining a copy of or access to a Project
Gutenberg-tm electronic work and you do not agree to be bound by the
terms of this agreement, you may obtain a refund from the person or
entity to whom you paid the fee as set forth in paragraph 1.E.8.
1.B. "Project Gutenberg" is a registered trademark. It may only be
used on or associated in any way with an electronic work by people who
agree to be bound by the terms of this agreement. There are a few
things that you can do with most Project Gutenberg-tm electronic works
even without complying with the full terms of this agreement. See
paragraph 1.C below. There are a lot of things you can do with Project
Gutenberg-tm electronic works if you follow the terms of this agreement
and help preserve free future access to Project Gutenberg-tm electronic
works. See paragraph 1.E below.
1.C. The Project Gutenberg Literary Archive Foundation ("the Foundation"
or PGLAF), owns a compilation copyright in the collection of Project
Gutenberg-tm electronic works. Nearly all the individual works in the
collection are in the public domain in the United States. If an
individual work is in the public domain in the United States and you are
located in the United States, we do not claim a right to prevent you from
copying, distributing, performing, displaying or creating derivative
works based on the work as long as all references to Project Gutenberg
are removed. Of course, we hope that you will support the Project
Gutenberg-tm mission of promoting free access to electronic works by
freely sharing Project Gutenberg-tm works in compliance with the terms of
this agreement for keeping the Project Gutenberg-tm name associated with
the work. You can easily comply with the terms of this agreement by
keeping this work in the same format with its attached full Project
Gutenberg-tm License when you share it without charge with others.
1.D. The copyright laws of the place where you are located also govern
what you can do with this work. Copyright laws in most countries are in
a constant state of change. If you are outside the United States, check
the laws of your country in addition to the terms of this agreement
before downloading, copying, displaying, performing, distributing or
creating derivative works based on this work or any other Project
Gutenberg-tm work. The Foundation makes no representations concerning
the copyright status of any work in any country outside the United
States.
1.E. Unless you have removed all references to Project Gutenberg:
1.E.1. The following sentence, with active links to, or other immediate
access to, the full Project Gutenberg-tm License must appear prominently
whenever any copy of a Project Gutenberg-tm work (any work on which the
phrase "Project Gutenberg" appears, or with which the phrase "Project
Gutenberg" is associated) is accessed, displayed, performed, viewed,
copied or distributed:
This eBook is for the use of anyone anywhere at no cost and with
almost no restrictions whatsoever. You may copy it, give it away or
re-use it under the terms of the Project Gutenberg License included
with this eBook or online at www.gutenberg.org
1.E.2. If an individual Project Gutenberg-tm electronic work is derived
from the public domain (does not contain a notice indicating that it is
posted with permission of the copyright holder), the work can be copied
and distributed to anyone in the United States without paying any fees
or charges. If you are redistributing or providing access to a work
with the phrase "Project Gutenberg" associated with or appearing on the
work, you must comply either with the requirements of paragraphs 1.E.1
through 1.E.7 or obtain permission for the use of the work and the
Project Gutenberg-tm trademark as set forth in paragraphs 1.E.8 or
1.E.9.
1.E.3. If an individual Project Gutenberg-tm electronic work is posted
with the permission of the copyright holder, your use and distribution
must comply with both paragraphs 1.E.1 through 1.E.7 and any additional
terms imposed by the copyright holder. Additional terms will be linked
to the Project Gutenberg-tm License for all works posted with the
permission of the copyright holder found at the beginning of this work.
1.E.4. Do not unlink or detach or remove the full Project Gutenberg-tm
License terms from this work, or any files containing a part of this
work or any other work associated with Project Gutenberg-tm.
1.E.5. Do not copy, display, perform, distribute or redistribute this
electronic work, or any part of this electronic work, without
prominently displaying the sentence set forth in paragraph 1.E.1 with
active links or immediate access to the full terms of the Project
Gutenberg-tm License.
1.E.6. You may convert to and distribute this work in any binary,
compressed, marked up, nonproprietary or proprietary form, including any
word processing or hypertext form. However, if you provide access to or
distribute copies of a Project Gutenberg-tm work in a format other than
"Plain Vanilla ASCII" or other format used in the official version
posted on the official Project Gutenberg-tm web site (www.gutenberg.org),
you must, at no additional cost, fee or expense to the user, provide a
copy, a means of exporting a copy, or a means of obtaining a copy upon
request, of the work in its original "Plain Vanilla ASCII" or other
form. Any alternate format must include the full Project Gutenberg-tm
License as specified in paragraph 1.E.1.
1.E.7. Do not charge a fee for access to, viewing, displaying,
performing, copying or distributing any Project Gutenberg-tm works
unless you comply with paragraph 1.E.8 or 1.E.9.
1.E.8. You may charge a reasonable fee for copies of or providing
access to or distributing Project Gutenberg-tm electronic works provided
that
- You pay a royalty fee of 20% of the gross profits you derive from
the use of Project Gutenberg-tm works calculated using the method
you already use to calculate your applicable taxes. The fee is
owed to the owner of the Project Gutenberg-tm trademark, but he
has agreed to donate royalties under this paragraph to the
Project Gutenberg Literary Archive Foundation. Royalty payments
must be paid within 60 days following each date on which you
prepare (or are legally required to prepare) your periodic tax
returns. Royalty payments should be clearly marked as such and
sent to the Project Gutenberg Literary Archive Foundation at the
address specified in Section 4, "Information about donations to
the Project Gutenberg Literary Archive Foundation."
- You provide a full refund of any money paid by a user who notifies
you in writing (or by e-mail) within 30 days of receipt that s/he
does not agree to the terms of the full Project Gutenberg-tm
License. You must require such a user to return or
destroy all copies of the works possessed in a physical medium
and discontinue all use of and all access to other copies of
Project Gutenberg-tm works.
- You provide, in accordance with paragraph 1.F.3, a full refund of any
money paid for a work or a replacement copy, if a defect in the
electronic work is discovered and reported to you within 90 days
of receipt of the work.
- You comply with all other terms of this agreement for free
distribution of Project Gutenberg-tm works.
1.E.9. If you wish to charge a fee or distribute a Project Gutenberg-tm
electronic work or group of works on different terms than are set
forth in this agreement, you must obtain permission in writing from
both the Project Gutenberg Literary Archive Foundation and Michael
Hart, the owner of the Project Gutenberg-tm trademark. Contact the
Foundation as set forth in Section 3 below.
1.F.
1.F.1. Project Gutenberg volunteers and employees expend considerable
effort to identify, do copyright research on, transcribe and proofread
public domain works in creating the Project Gutenberg-tm
collection. Despite these efforts, Project Gutenberg-tm electronic
works, and the medium on which they may be stored, may contain
"Defects," such as, but not limited to, incomplete, inaccurate or
corrupt data, transcription errors, a copyright or other intellectual
property infringement, a defective or damaged disk or other medium, a
computer virus, or computer codes that damage or cannot be read by
your equipment.
1.F.2. LIMITED WARRANTY, DISCLAIMER OF DAMAGES - Except for the "Right
of Replacement or Refund" described in paragraph 1.F.3, the Project
Gutenberg Literary Archive Foundation, the owner of the Project
Gutenberg-tm trademark, and any other party distributing a Project
Gutenberg-tm electronic work under this agreement, disclaim all
liability to you for damages, costs and expenses, including legal
fees. YOU AGREE THAT YOU HAVE NO REMEDIES FOR NEGLIGENCE, STRICT
LIABILITY, BREACH OF WARRANTY OR BREACH OF CONTRACT EXCEPT THOSE
PROVIDED IN PARAGRAPH F3. YOU AGREE THAT THE FOUNDATION, THE
TRADEMARK OWNER, AND ANY DISTRIBUTOR UNDER THIS AGREEMENT WILL NOT BE
LIABLE TO YOU FOR ACTUAL, DIRECT, INDIRECT, CONSEQUENTIAL, PUNITIVE OR
INCIDENTAL DAMAGES EVEN IF YOU GIVE NOTICE OF THE POSSIBILITY OF SUCH
DAMAGE.
1.F.3. LIMITED RIGHT OF REPLACEMENT OR REFUND - If you discover a
defect in this electronic work within 90 days of receiving it, you can
receive a refund of the money (if any) you paid for it by sending a
written explanation to the person you received the work from. If you
received the work on a physical medium, you must return the medium with
your written explanation. The person or entity that provided you with
the defective work may elect to provide a replacement copy in lieu of a
refund. If you received the work electronically, the person or entity
providing it to you may choose to give you a second opportunity to
receive the work electronically in lieu of a refund. If the second copy
is also defective, you may demand a refund in writing without further
opportunities to fix the problem.
1.F.4. Except for the limited right of replacement or refund set forth
in paragraph 1.F.3, this work is provided to you 'AS-IS' WITH NO OTHER
WARRANTIES OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
WARRANTIES OF MERCHANTIBILITY OR FITNESS FOR ANY PURPOSE.
1.F.5. Some states do not allow disclaimers of certain implied
warranties or the exclusion or limitation of certain types of damages.
If any disclaimer or limitation set forth in this agreement violates the
law of the state applicable to this agreement, the agreement shall be
interpreted to make the maximum disclaimer or limitation permitted by
the applicable state law. The invalidity or unenforceability of any
provision of this agreement shall not void the remaining provisions.
1.F.6. INDEMNITY - You agree to indemnify and hold the Foundation, the
trademark owner, any agent or employee of the Foundation, anyone
providing copies of Project Gutenberg-tm electronic works in accordance
with this agreement, and any volunteers associated with the production,
promotion and distribution of Project Gutenberg-tm electronic works,
harmless from all liability, costs and expenses, including legal fees,
that arise directly or indirectly from any of the following which you do
or cause to occur: (a) distribution of this or any Project Gutenberg-tm
work, (b) alteration, modification, or additions or deletions to any
Project Gutenberg-tm work, and (c) any Defect you cause.
Section 2. Information about the Mission of Project Gutenberg-tm
Project Gutenberg-tm is synonymous with the free distribution of
electronic works in formats readable by the widest variety of computers
including obsolete, old, middle-aged and new computers. It exists
because of the efforts of hundreds of volunteers and donations from
people in all walks of life.
Volunteers and financial support to provide volunteers with the
assistance they need are critical to reaching Project Gutenberg-tm's
goals and ensuring that the Project Gutenberg-tm collection will
remain freely available for generations to come. In 2001, the Project
Gutenberg Literary Archive Foundation was created to provide a secure
and permanent future for Project Gutenberg-tm and future generations.
To learn more about the Project Gutenberg Literary Archive Foundation
and how your efforts and donations can help, see Sections 3 and 4
and the Foundation web page at https://www.pglaf.org.
Section 3. Information about the Project Gutenberg Literary Archive
Foundation
The Project Gutenberg Literary Archive Foundation is a non profit
501(c)(3) educational corporation organized under the laws of the
state of Mississippi and granted tax exempt status by the Internal
Revenue Service. The Foundation's EIN or federal tax identification
number is 64-6221541. Its 501(c)(3) letter is posted at
https://pglaf.org/fundraising. Contributions to the Project Gutenberg
Literary Archive Foundation are tax deductible to the full extent
permitted by U.S. federal laws and your state's laws.
The Foundation's principal office is located at 4557 Melan Dr. S.
Fairbanks, AK, 99712., but its volunteers and employees are scattered
throughout numerous locations. Its business office is located at
809 North 1500 West, Salt Lake City, UT 84116, (801) 596-1887, email
business@pglaf.org. Email contact links and up to date contact
information can be found at the Foundation's web site and official
page at https://pglaf.org
For additional contact information:
Dr. Gregory B. Newby
Chief Executive and Director
gbnewby@pglaf.org
Section 4. Information about Donations to the Project Gutenberg
Literary Archive Foundation
Project Gutenberg-tm depends upon and cannot survive without wide
spread public support and donations to carry out its mission of
increasing the number of public domain and licensed works that can be
freely distributed in machine readable form accessible by the widest
array of equipment including outdated equipment. Many small donations
($1 to $5,000) are particularly important to maintaining tax exempt
status with the IRS.
The Foundation is committed to complying with the laws regulating
charities and charitable donations in all 50 states of the United
States. Compliance requirements are not uniform and it takes a
considerable effort, much paperwork and many fees to meet and keep up
with these requirements. We do not solicit donations in locations
where we have not received written confirmation of compliance. To
SEND DONATIONS or determine the status of compliance for any
particular state visit https://pglaf.org
While we cannot and do not solicit contributions from states where we
have not met the solicitation requirements, we know of no prohibition
against accepting unsolicited donations from donors in such states who
approach us with offers to donate.
International donations are gratefully accepted, but we cannot make
any statements concerning tax treatment of donations received from
outside the United States. U.S. laws alone swamp our small staff.
Please check the Project Gutenberg Web pages for current donation
methods and addresses. Donations are accepted in a number of other
ways including including checks, online payments and credit card
donations. To donate, please visit: https://pglaf.org/donate
Section 5. General Information About Project Gutenberg-tm electronic
works.
Professor Michael S. Hart was the originator of the Project Gutenberg-tm
concept of a library of electronic works that could be freely shared
with anyone. For thirty years, he produced and distributed Project
Gutenberg-tm eBooks with only a loose network of volunteer support.
Project Gutenberg-tm eBooks are often created from several printed
editions, all of which are confirmed as Public Domain in the U.S.
unless a copyright notice is included. Thus, we do not necessarily
keep eBooks in compliance with any particular paper edition.
Most people start at our Web site which has the main PG search facility:
https://www.gutenberg.org
This Web site includes information about Project Gutenberg-tm,
including how to make donations to the Project Gutenberg Literary
Archive Foundation, how to help produce our new eBooks, and how to
subscribe to our email newsletter to hear about new eBooks.
|