Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 4, Problem 87P
To determine
The change in the ethylene’s specific volume using the compressibility chart.
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
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R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
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a)…
Chapter 4 Solutions
Fundamentals of Thermal-Fluid Sciences
Ch. 4 - Prob. 1PCh. 4 - What is the difference between saturated vapor and...Ch. 4 - Is there any difference between the intensive...Ch. 4 - Why are the temperature and pressure dependent...Ch. 4 - Is it true that water boils at higher temperature...Ch. 4 - What is the difference between the critical point...Ch. 4 - Prob. 7PCh. 4 - A househusband is cooking beef stew for his family...Ch. 4 - Prob. 9PCh. 4 - It is well known that warm air in a cooler...
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Does hfg change with pressure? How?
Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Which process requires more energy: completely...Ch. 4 - In the absence of compressed liquid tables, how is...Ch. 4 - In 1775, Dr. William Cullen made ice in Scotland...Ch. 4 - Complete this table for H2O:
Ch. 4 - Prob. 21PCh. 4 - Complete this table for H2O:
Ch. 4 - Prob. 24PCh. 4 - Prob. 26PCh. 4 - Complete this table for refrigerant-134a:
Ch. 4 - A 1.8-m3 rigid tank contains steam at 220°C....Ch. 4 - Prob. 29PCh. 4 - R-134a, whose specific volume is 0.6243 ft3/lbm,...Ch. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Refrigerant-134a at 200 kPa and 25°C flows through...Ch. 4 - The average atmospheric pressure in Denver...Ch. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - One pound-mass of water fills a 2.4264-ft3...Ch. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Water initially at 200 kPa and 300°C is contained...Ch. 4 - Saturated steam coming off the turbine of a steam...Ch. 4 - Water in a 5-cm-deep pan is observed to boil at...Ch. 4 - A cooking pan whose inner diameter is 20 cm is...Ch. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - A piston–cylinder device contains 0.005 m3 of...Ch. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - A rigid vessel contains 8 kg of refrigerant-134a...Ch. 4 - Prob. 63PCh. 4 - A piston–cylinder device initially contains 50 L...Ch. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - The air in an automobile tire with a volume of...Ch. 4 - The air in an automobile tire with a volume of...Ch. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - What is the principle of corresponding states?
Ch. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - What is the percentage of error involved in...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93RQCh. 4 - Prob. 94RQCh. 4 - A tank contains argon at 600°C and 200 kPa gage....Ch. 4 - Prob. 96RQCh. 4 - Prob. 97RQCh. 4 - Prob. 98RQCh. 4 - Prob. 99RQCh. 4 - Prob. 100RQCh. 4 - Prob. 101RQCh. 4 - Prob. 102RQCh. 4 - A 4-L rigid tank contains 2 kg of saturated...Ch. 4 - The gage pressure of an automobile tire is...Ch. 4 - Prob. 105RQCh. 4 - Prob. 106RQCh. 4 - Prob. 107RQCh. 4 - Prob. 108RQCh. 4 - Prob. 109RQCh. 4 - Prob. 110RQCh. 4 - Prob. 111RQCh. 4 - Prob. 112RQ
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