Basic Technical Mathematics, 11th Edition

Exercises 18.2, page 507

1. 1. $C\hspace{0.17em}=\hspace{0.17em}kd\hspace{0.17em},\hspace{0.17em}k\hspace{0.17em}=\hspace{0.17em}\pi$

2. 3. 667 Hz

3. 5. $v\hspace{0.17em}=\hspace{0.17em}kr$

4. 7. $R\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{k}{d^2}}$

5. 9. $P\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{k}{\sqrt{A}}}$

6. 11. $S\hspace{0.17em}=\hspace{0.17em}kw{d}^3$

7. 13. A varies directly as the square of r.

8. 15. f varies directly as L and inversely as the square root of m.

9. 17. $V\hspace{0.17em}=\hspace{0.17em}3H^2$

10. 19. $p\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{16q}{r^3}}$

11. 21. 125

12. 23. 19.3

13. 25. 1800

14. 27. $2.56\hspace{0.17em}\times \hspace{0.17em}{10}^5$

15. 29. $A\hspace{0.17em}=\hspace{0.17em}{k}_{1}x\hspace{0.17em},\hspace{0.17em}B\hspace{0.17em}=\hspace{0.17em}{k}_{2}x\hspace{0.17em};\hspace{0.17em}A\hspace{0.17em}+\hspace{0.17em}B\hspace{0.17em}=\hspace{0.17em}(k_1\hspace{0.17em}+\hspace{0.17em}{k}_2)x$

16. 31. 34,200 kW

17. 33. 209 kJ

18. 35. halved

19. 37. 2.40 in.

20. 39. 560 kJ

21. 41. 1.4 h

22. 43.

    1. Inverse

    2. $a\hspace{0.17em}=\hspace{0.17em}60\text{/m}$

23. 45. 10,200 hp

24. 47. $F\hspace{0.17em}=\hspace{0.17em}0.00523A{v}^2$

25. 49. 0.536 N

26. 51. 480 m/s

27. 53. $R\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{(4.44\hspace{0.17em}\times \hspace{0.17em}{10}^{\hspace{0.17em}-\hspace{0.17em}5})l}{A}}$

28. 55.

    1. $p\hspace{0.17em}=\hspace{0.17em}kT$

    2. 265 kPa

29. 57. 80.0 W

30. 59. $G\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{(5.9\hspace{0.17em}\times \hspace{0.17em}{10}^4)d^2}{{\lambda }^2}}$

31. 61. $\hspace{0.17em}-\hspace{0.17em}6.57\text{ ft}\hspace{0.17em}/\hspace{0.17em}{\text{s}}^2$

32. 63. ${\mathrm{0.288 W/m}}^2$