Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 10, Problem 84EP
A boat moves through water
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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…
I tried this problem but I can't seem to figure out what I am missing here can you please help me?
Chapter 10 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 10 - Discuss how nondimensalizsionalization of the...Ch. 10 - A box fan sits on the floor of a very large room...Ch. 10 - Expalain the difference between an “exact”...Ch. 10 - Prob. 4CPCh. 10 - Prob. 5CPCh. 10 - Prob. 6CPCh. 10 - Prob. 7CPCh. 10 - Prob. 8CPCh. 10 - Prob. 9PCh. 10 - Prob. 10P
Ch. 10 - Prob. 11PCh. 10 - In Chap. 9(Example 9-15), we generated an “exact”...Ch. 10 - Prob. 13PCh. 10 - A flow field is simulated by a computational fluid...Ch. 10 - In Example 9-18 we solved the Navier-Stekes...Ch. 10 - Prob. 16CPCh. 10 - Prob. 17CPCh. 10 - A person drops 3 aluminum balls of diameters 2 mm,...Ch. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Consider again the slipper-pad bearing of Prob....Ch. 10 - Consider again the slipper the slipper-pad bearing...Ch. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31EPCh. 10 - Discuss what happens when oil temperature...Ch. 10 - Prob. 33PCh. 10 - Estimate the speed at which you would need to swim...Ch. 10 - Prob. 36PCh. 10 - Prob. 38CPCh. 10 - Prob. 39CPCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 -
Ch. 10 - Prob. 48PCh. 10 - Prob. 49CPCh. 10 - Consider the flow field produced by a hair dayer...Ch. 10 - In an irrotational region of flow, the velocity...Ch. 10 -
Ch. 10 - Prob. 53CPCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Consider the following steady, two-dimensional,...Ch. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Consider a steady, two-dimensional,...Ch. 10 - Consider a steady, two-dimensional,...Ch. 10 - Prob. 61PCh. 10 -
Ch. 10 - Prob. 63PCh. 10 - Prob. 64PCh. 10 - Prob. 65PCh. 10 - In an irrotational region of flow, we wtite the...Ch. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Water at atmospheric pressure and temperature...Ch. 10 - The stream function for steady, incompressible,...Ch. 10 -
Ch. 10 - We usually think of boundary layers as occurring...Ch. 10 -
Ch. 10 - Prob. 74CPCh. 10 - Prob. 75CPCh. 10 - Prob. 76CPCh. 10 - Prob. 77CPCh. 10 - Prob. 78CPCh. 10 - Prob. 79CPCh. 10 - Prob. 80CPCh. 10 - Prob. 81CPCh. 10 - Prob. 82CPCh. 10 - On a hot day (T=30C) , a truck moves along the...Ch. 10 - A boat moves through water (T=40F) .18.0 mi/h. A...Ch. 10 - Air flows parallel to a speed limit sign along the...Ch. 10 - Air flows through the test section of a small wind...Ch. 10 - Static pressure P is measured at two locations...Ch. 10 - Prob. 88PCh. 10 - Consider the Blasius solution for a laminar flat...Ch. 10 - Prob. 90EPCh. 10 - Prob. 91PCh. 10 - A laminar flow wind tunnel has a test is 30cm in...Ch. 10 - Repeat the calculation of Prob. 10-90, except for...Ch. 10 - Prob. 94PCh. 10 - Prob. 95EPCh. 10 - Prob. 96EPCh. 10 - In order to avoid boundary laver interference,...Ch. 10 - The stramwise velocity component of steady,...Ch. 10 - For the linear approximation of Prob. 10-97, use...Ch. 10 - Prob. 101PCh. 10 - One dimension of a rectangular fiat place is twice...Ch. 10 - Prob. 103PCh. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - Prob. 106EPCh. 10 - For each statement, choose whether the statement...Ch. 10 - Prob. 108PCh. 10 - Calculate the nine components of the viscous...Ch. 10 - In this chapter, we discuss the line vortex (Fig....Ch. 10 - Calculate the nine components of the viscous...Ch. 10 - Prob. 112PCh. 10 - Suppose the vertical pipe of prob. 10-115 is now...Ch. 10 - The streamwise velocity component of a steady...Ch. 10 - For the sine wave approximation of Prob. 10-112,...Ch. 10 - Prob. 117PCh. 10 - Which choice is not a scaling parameter used to o...Ch. 10 - Prob. 119PCh. 10 - Which dimensionless parameter does not appear m...Ch. 10 - Prob. 121PCh. 10 - Prob. 122PCh. 10 - Prob. 123PCh. 10 - Prob. 124PCh. 10 - Prob. 125PCh. 10 - Prob. 126PCh. 10 - Prob. 127PCh. 10 - Prob. 128PCh. 10 - Prob. 129PCh. 10 - Prob. 130PCh. 10 - Prob. 131PCh. 10 - Prob. 132PCh. 10 - Prob. 133PCh. 10 - Prob. 134PCh. 10 - Prob. 135PCh. 10 - Prob. 136PCh. 10 - Prob. 137PCh. 10 - Prob. 138PCh. 10 - Prob. 139P
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