1.31 What is the mass in kilograms and weight in newtons (g = 4000-lb automobile, (b) a 235-lb full- back? Find the mass in grams and the weight in dynes of (c) 77 grains of moisture, (d) 12 ounces of salt. 9.65 m/s) of (a) a %3D

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Chapter1: Units, Trigonometry. And Vectors
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Problems
27
1.29 Write this computer program. It is
desired to plot the curve weight (gravitation-
al) versus height (miles above sea level). At
equatorial sea level, g 32.088 fps?; its
variation is -0.003 fps /1000 ft ascent. Select
a given mass, say 100 lbm, and determine its
weight variation as it rises from sea level to a
height of 1000 miles.
1.30 The conversion of temperature
readings from °F to the sevei al scales °C, R,
and K is sought. Write a computer program
that will permit this operation.
(a) 6xy, (b) y dx + x dy, (c) y dx, (d)
2xy dx + x'y dy, (e) 15x' + 4xy?.
1.33 The mass of a given airplane at sca
level (g 32.10 fps?) is 10 tons. Find its
mass in lbm, slugs, and kg and its (gravi-
tational) weight in Ib, and N when it is
travelling at a 50,000-ft elevation. The ac-
celeration of gravity g decreases by 3.33 x
10- fps for each foot of clevation.
%3D
%3D
2
Ans. 9070.3 kg, 19,850 lb,.
1.34 Five masses are as follows: m, is
500 gm of mass; m2 weighs 800 gmn; m,
weighs 4 poundals; m, weighs 32.2 lb; and
ms is 2 slugs of mass. The weights are at
standard gravity. What is the total mass ex-
MIXED UNITS
1.31 What is the mass in kilograms and
weight in newtons (g = 9.65 m/s') of (a) a
4000-lb. automobile, (b) a 235-lb full-
back? Find the mass in grams and the weight
in dynes of (c) 77 grains of moisture, (d) 12
ounces of salt.
1.32 For a given system, two of its in-
dependent intensive properties are x and y.
State (show proof) which of the following lb/ft. Compare this value to the density of
expressions have property characteristics,
that is, are point functions:
pressed (a) in pounds, (b) in slugs, and (c) in
grams?
Ans. (a) 99.59 lb, (b) 3.1 slugs, (c)
45,200 gm.
1.35 It is estimated that the mass of the
earth is 5.98 x 102 kg; its mean radius is
6.38 x 10° m. Find its density gm/cm' and
%3D
water (62.4 lb.m/ft').
Ans. 5.50 x density of water.
Transcribed Image Text:Problems 27 1.29 Write this computer program. It is desired to plot the curve weight (gravitation- al) versus height (miles above sea level). At equatorial sea level, g 32.088 fps?; its variation is -0.003 fps /1000 ft ascent. Select a given mass, say 100 lbm, and determine its weight variation as it rises from sea level to a height of 1000 miles. 1.30 The conversion of temperature readings from °F to the sevei al scales °C, R, and K is sought. Write a computer program that will permit this operation. (a) 6xy, (b) y dx + x dy, (c) y dx, (d) 2xy dx + x'y dy, (e) 15x' + 4xy?. 1.33 The mass of a given airplane at sca level (g 32.10 fps?) is 10 tons. Find its mass in lbm, slugs, and kg and its (gravi- tational) weight in Ib, and N when it is travelling at a 50,000-ft elevation. The ac- celeration of gravity g decreases by 3.33 x 10- fps for each foot of clevation. %3D %3D 2 Ans. 9070.3 kg, 19,850 lb,. 1.34 Five masses are as follows: m, is 500 gm of mass; m2 weighs 800 gmn; m, weighs 4 poundals; m, weighs 32.2 lb; and ms is 2 slugs of mass. The weights are at standard gravity. What is the total mass ex- MIXED UNITS 1.31 What is the mass in kilograms and weight in newtons (g = 9.65 m/s') of (a) a 4000-lb. automobile, (b) a 235-lb full- back? Find the mass in grams and the weight in dynes of (c) 77 grains of moisture, (d) 12 ounces of salt. 1.32 For a given system, two of its in- dependent intensive properties are x and y. State (show proof) which of the following lb/ft. Compare this value to the density of expressions have property characteristics, that is, are point functions: pressed (a) in pounds, (b) in slugs, and (c) in grams? Ans. (a) 99.59 lb, (b) 3.1 slugs, (c) 45,200 gm. 1.35 It is estimated that the mass of the earth is 5.98 x 102 kg; its mean radius is 6.38 x 10° m. Find its density gm/cm' and %3D water (62.4 lb.m/ft'). Ans. 5.50 x density of water.
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