Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 3, Problem 38P
If the temperature in the atmosphere is assumed to vary linearly with altitude so T = To − αz where To is the sea level temperature and α = −dT/dz is the temperature lapse rate, find p(z) when air is taken to be a perfect gas. Give the answer in terms of po, α, g, R and z only.
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Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
mass of the shaft is negligible compared to the mass of the disk.
a. Find the angular momentum of the disk with respect to point G, based on the axis
orientation as shown. Include an MVD in your solution.
b. Find the angular momentum of the disk with respect to point O, based on the axis
orientation as shown. (Note: O is NOT the center of fixed-point rotation.)
c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
Problem 3.
The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same
mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a
particular moment. Find the angular momentum with respect to point O, in terms of the axes
shown.
Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k
3
m
r
b
2
C
لا
m
Only question 2
Chapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 3 - Because the pressure falls, water boils at a lower...Ch. 3 - Ear popping is an unpleasant phenomenon sometimes...Ch. 3 - When you are on a mountain face and boil water,...Ch. 3 - Your pressure gauge indicates that the pressure in...Ch. 3 - A 125-mL cube of solid oak is held submerged by a...Ch. 3 - The tube shown is filled with mercury at 20C....Ch. 3 - Calculate the absolute and gage pressure in an...Ch. 3 - An open vessel contains carbon tetrachloride to a...Ch. 3 - A hollow metal cube with sides 100 mm floats at...Ch. 3 - Compressed nitrogen (140 lbm) is stored in a...
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