Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 11, Problem 68P
To determine
The time required by dust particle to fall back to ground.
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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 11 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 11 - Which bicyclist is more likely to go faster: one...Ch. 11 - Consider laminar flow over a flat plate. How does...Ch. 11 - Define the frontal area of a body subjected to...Ch. 11 - Define the planform area of a body subjected to...Ch. 11 - Prob. 5CPCh. 11 - Prob. 6CPCh. 11 - What is the difference between streamlined and...Ch. 11 - Prob. 8CPCh. 11 - What is drag? What causes it? Why do we usually...Ch. 11 - Prob. 10CP
Ch. 11 - During flow over a given body, the drag force, the...Ch. 11 - During flow over a given slender body such as a...Ch. 11 - What is terminal velocity? How is it determined?Ch. 11 - What is the difference between skin friction drag...Ch. 11 - What is the effect of surface roughness on the...Ch. 11 - Prob. 16CPCh. 11 - What is flow separation? What causes it? What is...Ch. 11 - Prob. 18CPCh. 11 - In general, how does the drag coefficient vary...Ch. 11 - Fairings are attached to the front and back of a...Ch. 11 - Prob. 21PCh. 11 - The resultant of the pressure and wall shear...Ch. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - A circular sign has a diameter of 50 cm and is...Ch. 11 - Prob. 28EPCh. 11 - Prob. 29PCh. 11 - At highway speeds, about half of the power...Ch. 11 - A submarine can be treated as an ellipsoid with a...Ch. 11 - Prob. 32EPCh. 11 - Prob. 33PCh. 11 - A 70-kg bicyclist is riding her 1 5-kg bicycle...Ch. 11 - A wind turbine with two or four hollow...Ch. 11 - Prob. 37EPCh. 11 - During steady motion of a vehicle on a level road,...Ch. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - The drag coefficient of a vehicle increases when...Ch. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - How is the average friction coefficient determined...Ch. 11 - What fluid property is responsible for the...Ch. 11 - What does the friction coefficient represent in...Ch. 11 - Prob. 49PCh. 11 - The local atmospheric pressure in Denver, Colorado...Ch. 11 - The top surface of the passenger car of a train...Ch. 11 - The forming section of a plastics plant puts out a...Ch. 11 - Prob. 54EPCh. 11 - Prob. 55EPCh. 11 - Air at 25C and 1 atm is flowing over a long flat...Ch. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - Why is flow separation in flow over cylinders...Ch. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - Prob. 64PCh. 11 - A 1ong 5-cm-diameter steam pipe passes through...Ch. 11 - Consider 0.8-cm-diameter hail that is falling...Ch. 11 - Prob. 67EPCh. 11 - Prob. 68PCh. 11 - Prob. 69PCh. 11 - Prob. 70PCh. 11 - Prob. 71EPCh. 11 - One of the popular demonstrations in science...Ch. 11 - Prob. 73CPCh. 11 - Air is flowing past a symmetrical airfoil at an...Ch. 11 - What is stall? What causes an airfoil to stall?...Ch. 11 - Prob. 76CPCh. 11 - Air is flowing past a symmetrical airfoil at zero...Ch. 11 - Both the lift and the drag of an airfoil increase...Ch. 11 - Prob. 79CPCh. 11 - Prob. 80CPCh. 11 - Prob. 81CPCh. 11 - Prob. 82CPCh. 11 - Prob. 83CPCh. 11 - How do flaps affect the lift and the drag of...Ch. 11 - A small aircraft has a wing area of 35 m2 a lift...Ch. 11 - Consider an aircraft that takes off at 260 km/h...Ch. 11 - Prob. 87PCh. 11 - Prob. 88EPCh. 11 - Prob. 89PCh. 11 - A tennis ball with a mass of 57 and a diameter of...Ch. 11 - Prob. 92EPCh. 11 - Prob. 93PCh. 11 - Consider a light plane that has a total weight of...Ch. 11 - A small airplane has a total mass of 1800 kg and a...Ch. 11 - Prob. 97PCh. 11 - Prob. 98PCh. 11 - A 2-zn-high, 4-zn-wide rectangular advertisement...Ch. 11 - 11-97 A plastic boat whose bottom surface can be...Ch. 11 - Prob. 102PCh. 11 - Prob. 103EPCh. 11 - A commercial airplane has a total mass of 150.000...Ch. 11 - Prob. 105PCh. 11 - A paratrooper and his 8-m-diameter parachute weigh...Ch. 11 - Prob. 107PCh. 11 - Prob. 108PCh. 11 - Prob. 110PCh. 11 - Prob. 112PCh. 11 - Prob. 113PCh. 11 - Prob. 114PCh. 11 - Prob. 117PCh. 11 - Prob. 118PCh. 11 - Prob. 119PCh. 11 - Prob. 120PCh. 11 - Prob. 121PCh. 11 - The region of flow trailing the body where the...Ch. 11 - Prob. 123PCh. 11 - Prob. 124PCh. 11 - Prob. 125PCh. 11 - Prob. 126PCh. 11 - Prob. 127PCh. 11 - Prob. 128PCh. 11 - An airplane has a total mass of 3.000kg and a wing...Ch. 11 - Prob. 130PCh. 11 - Write a report on the history of the reduction of...Ch. 11 - Write a report oil the flips used at the leading...Ch. 11 - Large commercial airplanes cruise at high...Ch. 11 - Many drivers turn off their air conditioners and...
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