Basic Engineering Mathematics, Fifth Edition

342 Basic Engineering Mathematics

Chapter 5

Exercise 21 (page 34)

1. 0 .32% 2. 173 .4% 3. 5 .7% 4. 37 .4%


2. 128 .5% 6. 0. 20 7. 0. 0125 8. 0. 6875


3. 38 .462% 10. (a) 21.2% (b) 79.2% (c) 169%
   11.(b), (d), (c), (a) 12.

13

20

13.

5

16

14.

9

16

15. A=

1

2

,B=50%,C= 0 .25,D=25%,E= 0 .30,

F=

3

10

,G= 0 .60,H=60%,I= 0 .85,J=

17

20

Exercise 22 (page 36)

1. 21 .8kg 2. 9 .72m
   3.(a) 496.4t (b)8.657g (c) 20.73s 4. 2 .25%
   5.(a) 14% (b) 15.67% (c) 5.36% 6. 37 .8g
   7.14 minutes 57 seconds 8.76g 9. £611


2. 37 .49% 11. 39 .2% 12.17% 13. 38 .7%


3. 2 .7% 15. 5 .60m 16. 3 .5%

Exercise 23 (page 38)

1. 2 .5% 2.18% 3. £310 4. £175000
   5.£260 6.£20000 7. £9116. 45 8. £50. 25
   9.£39. 60 10.£917. 70 11. £18500012. 7 .2%


2. A 0 .6kg,B 0 .9kg,C 0 .5kg
   14.54%,31%,15%, 0 .3t
   15.20000kg (or 20 tonnes)


3. 13 .5mm, 11 .5mm 17. 600kW

Chapter 6

Exercise 24 (page 41)

1.36 : 1 2. 3 .5:1or7:23. 47 : 3

4.96cm,240cm 5. 5

1

4

hours or 5 hours 15 minutes

6.£3680, £1840, £920 7.12cm 8. £2172

Exercise 25 (page 42)

1.1:15 2. 76ml 3.25% 4. 12 .6kg

5. 14 .3kg 6. 25000kg

Exercise 26 (page 43)

1.£556 2.£66 3.264kg 4.450g 5. 14 .56kg

6.(a) 0.00025 (b) 48MPa 7.(a) 440K (b) 5.76litre

Exercise 27 (page 45)

1. (a) 2mA (b) 25V2.170fr 3. 685 .8mm


2. 83lb10oz 5.(a) 159.1litres (b) 16.5gallons


3. 29 .4MPa 7. 584 .2mm 8. $1012

Exercise 28 (page 46)

1. 3.5 weeks 2. 20 days


2. (a) 9.18 (b) 6.12 (c) 0.3375 4. 50 minutes


3. (a) 300× 103 (b) 0.375m^2 (c) 24× 103 Pa

Chapter 7

Exercise 29 (page 48)

1. 27 2. 128 3. 100000 4. 96 5. 24


2. ± 5 7.± 8 8. 100 9. 1 10. 64

Exercise 30 (page 50)

1. 128 2. 39 3. 16 4.

1

9

5. 1 6. 8


6. 100 8. 1000 9.
   1
   100

or 0. 01 10. 5 11. 76

12. 36 13. 36 14. 34 15. 1 16. 25

17.

1

35

or

1

243

18. 49 19.

1

2

or 0. 5 20. 1

Exercise 31 (page 52)

1.

1

3 × 52

2.

1

73 × 37

3.

32

25

4.

1

210 × 52

5. 9 6. ± 3 7.±

1

2

8.±

2

3

9.

147

148

10. − 1

19

56

11.− 3

13

45

12.

1

9

13. −

17

18

14. 64 15. 4

1

2