Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 5, Problem 30CP
What are the three major assumptions used in the derivation of the Bernoulli equation?
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Fy = 100 N
Fx = 100 N
Z
a = 500 mm
F₂ = 500 N
b = 1000 mm
Figure 2: Schematics for problem 3.
1. Draw the moment (M), axial (N), and shear (S) diagrams. Please note that this is a 3D problem and you
will have moment (M) and shear (S) along two different axes. That means that you will have a total of 5
diagrams.
I tried solving this one but have no idea where I went wrong can you please help me out with this?
Question 1.
A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
y
ω
R
m
2R
Figure 1
X
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is μs = flk = fl.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially…
Chapter 5 Solutions
Fluid Mechanics Fundamentals And Applications
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Ch. 5 - Consider a fully filled tank of semi-circular...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - The minimum fresh air requirement of a residential...Ch. 5 - Air enters a nozzle steadily at 2.21 kg/m3 and 20...Ch. 5 - Air at 40°C flow steadily through the pipe shown...Ch. 5 - A hair dryer is basically a duct of constant...Ch. 5 - Define turbine efficiency, generator efficiency,...Ch. 5 - What is mechanical efficiency? What does a...Ch. 5 - How is the combined pump-motor efficiency of a...Ch. 5 - What is mechanical energy? 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In order to dram the tank...Ch. 5 - A D0=8 -m-diameter tank is initially filled with...Ch. 5 - In some applications, elbow-type flow meters like...Ch. 5 - The cylindrical water tank with a valve at the...Ch. 5 - A rigid tank of volume 1.5 m3 initially contains...Ch. 5 - A wind tunnel draws atmospheric air at 20°C and...Ch. 5 - Water flows in a 5-cm-diameter pipe at a velocity...Ch. 5 - Air at 100 kPa and 20°C flows in a 12-cm-diameter...Ch. 5 - A water tank initially contains 140 L of water....Ch. 5 - Water enters a 4-cm-diameter pipe at a velocity of...Ch. 5 - The pressure of water is increased from 100 kPa to...Ch. 5 - A 75-m-high water body that is open to the...Ch. 5 - A pump is used to increase the pressure of water...Ch. 5 - A hydraulic turbine is used to generate power by...Ch. 5 - The motor of a pump consumes 1.05 hp of...Ch. 5 - The efficiency of a hydraulic turbine-generator...Ch. 5 - Which parameter is not related in the Bernoulli...Ch. 5 - Consider incompressible, frictionless flow of a...Ch. 5 - Consider incompressible, frictionless flow of...Ch. 5 - Consider water flow in a piping network. 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