ANSWERS 541 
XXVIIIc. pp. 483-484. 
1. (a) 38 Ibs.; (4) 19 Ibs. 2. (a) 152 lbs, ; (5) 59°4 Ibs. 3. 0°863, 
4. um horse-power=9°59 at 25 feet per second. 
6. 1831; 29°2 per cent. 6. 1393 ; 22-2 per cent, 
7. 2973; 41°1 per cent. 8, 220 lbs. 9. (a) 126 lbs. ; (4) 56 lbs, 
10. 12F0; 93°83 per cent. 11. 974 lbs, ; 67°3. 
12. (a) 72°6 Ibs, ; (5) 18:1 lbs, 
13. Acute angles between AB and the tangents to the vane at entrance and 
exit, 53° 48’ and 36° 12’ respectively. Pressure on vane, 0°645 lb. 
14. Acute angles between horizontal and tangents to yane at entrance and 
exit, 73° 41’ and 47° 16’ respectively. Pressure in direction of motion 68-4 Ibs, 
15. Direction of total pressure inclined at 7° 56’ to direction of motion of 
bucket or vane. Magnitude of total pressure, 193°7 lbs. Pressure in direction 
motion, 191°8.lbs. Maximum efficiency 4, when velocity of buckets is 82°8 feet 
per second. 
16. 9317 ft.-lbs. 17. 862-6 lbs. 
18. 34-7 feet per second ; 25-7 ; 2051 lbs. ; 21-9 miles per hour. 
XXIX. pp. 496-498. 
1. 6600. 2. 63°7. 3. 4°03. 
5. (a) 75°7 per cent. ; (b) 181 feet ; (c) 0°459:1. 
6. Maximum B.H.P.=1°61; maximum efficiency, 79°3 per cent, 
7. Taking efficiency at 80 per cent., horse-power = 2355. 
8. Mean diameter of wheel, 2°28 feet ; diameter of nozzle, 0°461 inch; horse- 
power, 16:3. 
10. ¥,=152°5; ¢,=75°9; ¢g=87°3 3 wu, =84'5; %=94°9; 1,=24°9; 0,=—99°; 
revolutions per minute=181:2; horse-power=318°5. 
Il, ¢,=u,=42°57 5 cg=tg=53'21; %=13'9; 0,=—82° 30’; revolutions per 
minute = 203-3 ; horse-power = 273. 
12. 5°4; 81:5 per cent. 13. 68°7 per cent.; 11:8. 
14. (Referring to Fig. 795, p. 494) 0,=41° 13’; angle U,B,C,=78° 54’; 
=21° 52’. 
ee 15. 9° 28’; 747-6 lbs. 16. Inlet, 48° 54’; outlet, 11° 19’. 
17. At inlet, 65° 9 to the tangent to the periphery; at outlet, 21° to the 
tangent to the periphery ; 89 per cent. 
19. Velocity of outer periphery of wheel, 35°8 feet per second; guide angle, 
6° 23’; vane angle at exit, 12° 37’; outer diameter, 1-95 feet; inner diameter, 
0-975 feet; widths at inlet and outlet, 0°34 feet and 0°68 feet respectively, 
neglecting thickness of vanes. 
XXX. pp. 518-519. 
1. 22:09; 3°34. 2. 2851 Ibs. ; (a) 2°25 cubic feet ; (b) 0°102 cubic feet. 
_ 8. (a) 489°3 Ibs. ; (b) 873°8 lbs. ; 1°65. 
4. (i.) 319°7 ; (ii.) 38°07 ; (iii.) 76°1 per cent. ; (iv.) 39,560; (v.) 39°27. 
5. 1638 lbs. ; 1583 lbs. ; 14,496. 6. 141°5; 196-7; 10 lbs. 
11. (1) 11° 34’; (2) 104°6 feet; (3) 47°6 feet. 12. 23°7 feet per second. 
13. 60 per cent. ; 250; 198 revolutions per minute. 
XXXI. pp. 528-529. 
1. 1°71 pence. 2. 1,102,700. 3. 1061 lbs. per square inch. 4. 14°76 inches, 
5. (a) 1139; (6) 1040. 6. 40°24; 66°22. 
7. (a) 19°84 tons; (6) 101°01 tons. 8. 12,959 lbs, ; 53,996 ; 3°32 inches. 
9. 2013. 10. 649; 20,388. 11. 329 inches. 12. 4°70 inches; 9°73 inches. 
13. 1792; 4032; 7168. 14. 1720; 3890; 6934. 
15. 16°16 tons per square inch; 87°4 feet. 16. 74 tons. 17. 53°4 per cent. 
18. (1) 3970 Ibs. ; (2) 9°63. 19. 6°06 cubic feet; 13 inches, 
20. 1°53 feet per second, 
