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 76P
To determine
The final temperature of gas.
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A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
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find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
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0 a
2a 3a 4a
13)
2+
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3
14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
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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- Auto Controls A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain i. for K = 1 , derive the exact magnitude and phase expressions of G(jw). ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities. iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin) iv. what happens to the gain margin and Phase margin when you increase the value of K?you You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus NO COPIED SOLUTIONSarrow_forwardThe 120 kg wheel has a radius of gyration of 0.7 m. A force P with a magnitude of 50 N is applied at the edge of the wheel as seen in the diagram. The coefficient of static friction is 0.3, and the coefficient of kinetic friction is 0.25. Find the acceleration and angular acceleration of the wheel.arrow_forwardAuto Controls Using MATLAB , find the magnitude and phase plot of the compensators NO COPIED SOLUTIONSarrow_forward
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