APPENDIX

ANSWERS TO NUMERICAL PROBLEMS

Page 33.

4. 14,845+ sq. m. 976.3 cu. in. 110.23 lb.

1. 9.33 m. 2. 1099.08 ft. 3. 169.164 m.; 67.056 m. 5. 177.8 cm. ; 83 kg. 6. 349.23 km. 7. 16,000 c.c.; 8. 2562.9+ kg. 9. 907.2 kg. 10. 50 liters; 50 kg.; 11. Elastic limit, 32,085.5+ lb. per sq. in.; tensile strength, 73,847.7+ lb. per sq. in. 12. 9.84.

Pages 67-69. 1. 11.34 mi. per hour; 16.63 ft. per sec. 3. As 347,976: 704,000.

per hour; 96.66 ft. per sec. per sec.; 402 ft.; 144.72 ft.

7. 2250 ft. 8. 5 sec.; 10. 24 ft.; 12 ft. per sec.

2. 65.906 mi.

4. 160.8 ft.

5. 200.8 ft. per sec.; 602 ft.; 184.72 ft. 24.505 m. per sec.; 20 m. 9. 36.18 ft. 11. 20,000 dynes. 12. 5,881,200 dynes. 13. 72.11 lb. 14. 442.8 ft. 15. 38.09 ft. per sec. 16. 6 ft. 17. 5.76 ft. from the 36-lb. force; 100 lb. 18. 18.48 lb.; 36.95 lb. 19. 11.785 mi. 20. 79.67 ft. per min.; 159.35 ft. per min.

Pages 78-79. 1. 1568 ergs. 2. 47,040 ft. lb.

21. 4 ft.;

3. 352 kilogram

meters. 4. 235.248. 5. 588 ft. lb. 6. 4142 ft. lb.; 3534 ft. lb. ; 608 ft. lb. 7. 8.85 H. P.; about 6600 watts. 8. 14,000 ft. lb.; 8000 ft. lb.; 14,000 ft. lb. 9. 115,200 ft. lb.; 1.16 H. P.; 115,200 ft. lb. 10. 6,170,709 ft. lb. 11. 535,102.3 ft. lb. 13. 4.77 sec.; 153.43 ft. per sec.; 1830 ft. lb.

12. 11.52 H.P.

3. 1.5 ft.; 1.6 ft. from center 5. 3 ft. 6. 4.54 cm. from 8. 12,299 ft. lb.

Page 89. 1. 7.2; 7.68. 2. 80 lb. of 10-lb. ball. 4. 3.6 in. from head. weight.

7. 300,000 ft. lb.

Page 96. 1. 223.46 cm. 2. 1.108 sec. 3. 99.305 cm. 4. 99.289 cm.

5. 981.82.

Pages 114-118. 1. 90%.

2. 86.6%. 3. 92.3% nearly. 4. 41.6 lb. 5. 7.75 ft. to right of F. acting upward; 136 lb. by lever downward and

136 lb. by F. upward. 6. 17.86; 188 lb. 10. 19; 1425 lb. 11. 880 lb.

9. 25 lb.

the weight.

14. 120 lb. by man nearest

7. 13.3 lb.

12. 63 in.

stone; 80 lb.

8. 41.6 lb. 13.1 of by other.

Page 129. 1. One half as great.

Pages 143-146. 1. 662.08 lb.

4. 125 lb.; 125 lb. 5. 8500 lb. 60,000 lb.

8. 5500 lb.

2. 3840 lb. 3. 10,584 lb. 6. 528,417 lb.; 93,333.3 lb. ;

7. 100,473+ gal.; 419.73 tons; 846.66 tons; 6250 lb. 9. 317.729 kg. 10. 55.12 lb. 11. 4057.9 lb.; 15. 14. 84,375 lb. 15. 2050 lb. 18. 480 kg.; 360 kg.; 288 kg.

12. 12,812.5 lb. 16. 20.83 lb.

19. 8584 kg.

13. 90,000 lb. 17. 10 ft. from top.

or 44.63 lb.**

1580 cu. in. 2. 187.5 lb.; 3. 3.84 in. 4. 229.25 lb. or 229.2*; 0.96 in.

7. 165.7 tons. 11. 21.568 or 21.59.*

8. 2.35.

15. 16.42 g.

16. 93.75 lb.;

19. 331.8 cu. in.

13. 113.59 lb. or 113.36 lb.* 14. 18.42 g.

156.25 lb. 17. 500 g. 18. 2.35; 2.35 g. per c. c. 22. 0.001293 g. per c. c.

20. 0.772.

21. 0.916.

Pages 189–190. 1. 375.7 g. per sq. cm. 2. 102.6 c. c. 3. 50,803.2 lb. 4. To about its volume.

nearly. 6. 33.87 ft. 7.

5. Nearly 5588 lb. on each side; 22,352 lb. 98.6 lb. 8. 3653.7 kg. 9. 176,721+ lb.

10. 17,733.7 ft. lb. 11. 33.77 ft. 12. 8125.23 mm.; 10.79 mm,

13. 42,336 lb.

17. 32.97 ft.

15. 3.4 atmospheres.

16. 0.0135 atmosphere.

18. 1550 19. 13.35 lb. per sq. in.

Page 202. 1. 1135.2 ft. or 1136.5 ft. 2. 3389.27 ft. or 3391.5 ft. 4. 844.05 ft. or 844.87 ft. 5. 7.5 sec. nearly.

Differing answers possible with different methods of solution, because the weight 62.5 lb. per cu. ft. of water, and the numbers in table on p. 150, are only approximate values.

Page 236. 1. 66.6 cm. 3. 2.34 lb. 4. 100; 88.8; 80; 75; 66.6; 6. 2 ft. 1.6 in. 7. 1 ft. 5 in. 9. 0.212 in.; 0.847 in. or 0.848 in.

60; 53.3; 50.

5. 12 ft.; 6 ft.

8. 44.4 cm. ; 64 cm.

Page 246. 1. 45°.

10. 8640.

Page 280. 1. 0.1045 in. 2. 0.000016. 3. 0.04176 mm.

5. 3689.2 cu. ft. 6. 457.2 c. c.

9. 57.75° C. 10. 168° C. 11. Air at 23° C. 12. 8.9 g. 14. 13.505 g.; 16.881 g.; between 19° C. and 20° C.

Pages 286-287. 1. 17,000. 2. 810.

13. 58%

4. 9.36 cal.

7. 146.25 c. c. 8.

4. 1.09 cu. ft. 4.097 kg.

3. 0.1086.
8. 88.9° C.
13. 576. 14.
28,680 cal.

9. 51.8° C. 11,066.6 cal. 18. 157.89 g.

19. 9.78° C.

Page 299.

1. 105,000. 2. 18° F.

3. 2.78 lb.

4. 3.21°.

3. 533.3 dynes.

5. 7068.6 ft. lb.; 14,137.2 ft. lb.; 1,498,543.2 ft. lb.; 45.4 H. P.

Page 317. 1. 10,000. 2. pole; 240 maxwells.

4. 2513.28 maxwells. 5. 750 gausses.

Pages 361-362. 1. 16.87 ohms. 2. 102.52 ohms. 3. 135.26 ohms. 4. 1.359 amp. 5. 1.177 amp. 6. 0.5 amp. 7. 0.127 amp. 8. 0.195 amp.

9. 0.151 amp. 10. 0.958 amp.; 1.585 amp. 11. 3.625 amp. 12. 6 in

series and 2 in parallel.

Pages 379-380. 1. 349,920 cal. 2. 594,000 cal.

3. 233,280 cal.

4. 35,700 cal. in the copper, 216,954 cal. in the iron. 5. 75.6° C.

Pages 392-393. 1. 1.89 volts; 2.835 volts; 4.725 volts; 5.67 volts. 2. 5 ohms. 3. 6 ohms. 4. 518,400 cal. 5. in lamp, in rheostat. 6. 220 ohms; 55 ohms; 110 ohms; 73.3 ohms; 55 ohms; 44 ohms; 44 ohms. 7. 5.614 ohms. 8. 1.44 ohms. 9. 55 watts; 19.5 ohms; 11 lamps.

Pages 432-434. 1. 11.25 ohms; 16.25 3. 2.25 in. for + carbon; 1.125 in. for - carbon. 2.2 ohms; 9 amp. 5. 17.7 ohms; 6.6 ohms. 6. 0.5 ohm; 0.6 ohm. 7. 0.4 ohm; 21,555.5 c. p. 8. 385 watts; 0.55 watt per c. p.

9. 21.14 ohms; 10.29 ohms. 10. 220 ohms; 13.6 lamps; 18.2 lamps; 3.44 watts. 11. 242.29 ohms; 2.497 watts; 14.94 lamps; 1.38 times 12. 2.5 amp.; 6 amp. by one and 3.5 amp. by the other.

as great.

13. 1.15 amp.; 400 c. p. by carbon; 500 c. p. by metallized. 14. 47,520 cal. for carbon; 43,148 cal. for metallized. 15. 0.429 amp.; 256.4 ohms. 16. 0.947 watt; 155.3 ohms. 18. 8.453 amperes.

17. 53 lamps.

is drawn away from AC toward O, by the constant centripetal force, is practically equal to

AD at2. (Formula 4.)
AB2 = AD × AE,

v2t2 = at2 × 2 r.

v2 = ar, and a =

* AE is the hypotenuse of the right-angled triangle ABE, and BD is a perpendicular dropped upon it from the vertex of the right angle.