imp. 2.7
5320 gal plane h = 1.188 105 14 h 365 d 1 d 1 yr 106 cm3 220.83 imp. gal 0.965 g 1 cm
3
1 kg 1000 g
1 tonne 1000 kg
tonne kerosene plane yr
4.02 109 tonne crude oil 1 tonne kerosene yr
5
plane yr
7 tonne crude oil 1.188 10 tonne kerosene
= 4834 planes 5000 planes
2.8 (a) (b) (c)
25.0 lb m 25 N
32.1714 ft / s 2 1
1
lb f
32.1714 lb m ft / s 2 1 kg m/s 2 1N 9.8066 m/s 2
= 25.0 lb f
= 2.5493 kg 2.5 kg
10 ton
1 lb m 5 10
-4
1000 g ton 2.20462 lb m 85.3 lb m 1 ft 3 1 m3 11.5 kg
980.66 cm / s 2
1 dyne 1 g cm / s 2
= 9 10 9 dynes
2.9
50 15 2 m 3
35.3145 ft 3 1 m3 1 kg
32.174 ft 1 lb f = 4.5 6 10 lb f 2 2 1 s 32.174 lb m / ft s
2.10 2.11
500 lb m
2.20462 lb m
5 10 2
FG 1 IJ FG 1 IJ 25 m H 2 K H 10K
3
(a) mdisplaced fluid = mcylinder f V f = cVc f hr 2 = c Hr 2
(30 cm - 14.1 cm)(100 g / cm 3 ) . c = = = 0.53 g / cm 3 H 30 cm H (30 cm)(0.53 g / cm 3 ) (b) f = c = = 171 g / cm 3 . (30 cm - 20.7 cm) h
fh
c H f h
2.12
Vs =
R 2 H
3
; Vf =
R 2 H
3
-
r 2 h
3
2
;
Vf =
R H
2
f V f = sVs
f = s
FG IJ = R FG H - h IJ - 3 3 H HK 3 H H K R F h I GH H - H JK = R3 H 3
h Rh
2 2 3 2 3 2 f 2 s
R r R = r = h H h H
H
h r
s R
3
f
H H- h3 H2
= s
H3 = s H 3 - h3
1-
FG h IJ H HK
1
2-2