EBK APPLIED FLUID MECHANICS
7th Edition
ISBN: 8220100668340
Author: UNTENER
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.37PP
When you dive to a depth of 12.50 ft in seawater, what is the pressure?
3.3
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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
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
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)…
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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 SOLUTIONS
Chapter 3 Solutions
EBK APPLIED FLUID MECHANICS
Ch. 3 - Write the expression for computing the pressure in...Ch. 3 - Define absolute pressureCh. 3 - Define gage pressureCh. 3 - Define atmospheric pressureCh. 3 - Write the expression relating gage pressure,...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...
Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - If milk has a specific gravity of 1.08, what is...Ch. 3 - The pressure in an unknown fluid at a depth of 4.0...Ch. 3 - The pressure at the bottom of a tank of propyl...Ch. 3 - When you dive to a depth of 12.50 ft in seawater,...Ch. 3 - A water storage tank is on the roof of a factory...Ch. 3 - An open tank contains ethylene glycol at 25C....Ch. 3 - For the tank of ethylene glycol described in...Ch. 3 - Figure 3.19 shows a diagram of the hydraulic...Ch. 3 - Figure 3.20 shows a clothes washing machine The...Ch. 3 - An airplane is flying at 10.6km altitude. In its...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21. determine the...Ch. 3 - For the tank shown in Fig. 3.21 determine the...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - Figure 3.22 represents an oil storage drum that is...Ch. 3 - A storage tank for sulfuric acid is 1.5m in...Ch. 3 - A storage drum for crude oil ( sg=0.89 ) is 32 ft...Ch. 3 - The greatest known depth in the ocean is...Ch. 3 - Figure 3.23 shows a closed tank that contains...Ch. 3 - Figure 3.24 shows a closed container holding water...Ch. 3 - Determine the pressure at the bottom of the tank...Ch. 3 - Describe a simple J-tube manometerCh. 3 - Describe a differential U-tube manometer.Ch. 3 - Describe a well-type manometer.Ch. 3 - Describe an inclined well-type manometer.Ch. 3 - Describe a compound manometer.Ch. 3 - Water is in the pipe shown in Fig. 3.26Calculate...Ch. 3 - For the differential manometer shown in Fig. 3.27,...Ch. 3 - For the manometer shown in Fig. 3.28, calculate...Ch. 3 - For the manometer shown in Fig. 3.29, calculate...Ch. 3 - For the manometer shown in Fig. 3.30, calculate...Ch. 3 - For the compound manometer shown in Fig.3.31,...Ch. 3 - For the compound differential manometer in...Ch. 3 - Figure 3.33 shows a manometer being used to...Ch. 3 - For the well-type manometer in Fig. 3.34,...Ch. 3 - Figure 3.35 shows an inclined well-type manometer...Ch. 3 - a. Determine the gage pressure at point A in Fig....Ch. 3 - What is the function of a barometer?Ch. 3 - Describe the construction of a barometer.Ch. 3 - Why is mercury a convenient fluid to use in a...Ch. 3 - If water were to be used instead of mercury in a...Ch. 3 - What is the barometric pressure reading in inches...Ch. 3 - What is the barometric pressure reading in...Ch. 3 - Why must a barometric pressure reading be...Ch. 3 - By how much would the barometric pressure reading...Ch. 3 - Denver, Colorado, is called the "Mile-High City"...Ch. 3 - The barometric pressure is reported to be 28.6 in...Ch. 3 - A barometer indicates the atmospheric pressure to...Ch. 3 - What would be the reading of a barometer in inches...Ch. 3 - Prob. 3.85PPCh. 3 - The pressure in a heating duct is measured to be...Ch. 3 - The pressure in a ventilation duct at the inlet to...Ch. 3 - The pressure in an air conditioning duct is...Ch. 3 - The pressure in a compressed natural gas line is...Ch. 3 - The pressure in a vacuum chamber is 68.2 kPa....Ch. 3 - The pressure in a vacuum chamber is 12.6 psig....Ch. 3 - Prob. 3.92PPCh. 3 - Prob. 3.93PPCh. 3 - A passive solar water heater is to be installed on...Ch. 3 - The elevated tank similar to the one shown in Fig....Ch. 3 - Prob. 3.96PPCh. 3 - A concrete form used to pour a basement wall is to...Ch. 3 - An environmental instrumentation package is to be...Ch. 3 - Prob. 3.99PPCh. 3 - Prob. 3.100PPCh. 3 - A meteorologist reports a "high pressure system"...Ch. 3 - What is the pressure, in psig, at the bottom of a...Ch. 3 - If air has a constant specific weight of...
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