Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 11, Problem 11.36PP
Repeat Problem 11.35, but consider the valve to be fully open.
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find the laplace transform for the
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S
12)
k
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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)…
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 SOLUTIONS
Chapter 11 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 11 - Water at 10C flows from a large reservoir at the...Ch. 11 - For the system shown in Fig. 11.14, kerosene (...Ch. 11 - Figure 11.15 shows a portion of a hydraulic...Ch. 11 - Figure 11.16 shows part of a large hydraulic...Ch. 11 - Oil is flowing at the rate of 0.015m3/s in the...Ch. 11 - For the system shown in Fig. 11.18, calculate the...Ch. 11 - A liquid refrigerant flows through the system,...Ch. 11 - Water at 100F is flowing in a 4-in Schedule 80...Ch. 11 - A hydraulic oil is flowing in a drawn steel...Ch. 11 - In a processing plant, ethylene glycol at 77F is...
Ch. 11 - Water at 15C is flowing downward in a vertical...Ch. 11 - Turpentine at 77F is flowing from A to B in a 3...Ch. 11 - ]11.13 A device designed to allow cleaning of...Ch. 11 - Kerosene at 25C is flowing in the system shown in...Ch. 11 - Water at 40C is flowing from A to B through the...Ch. 11 - Oil with a specific gravity of 0.93 and a dynamic...Ch. 11 - Determine the required size of new Schedule 80...Ch. 11 - What size of standard hydraulic copper tube from...Ch. 11 - Water at 60F is to flow by gravity between two...Ch. 11 - The tank shown in Fig. 11.24 is to be drained to a...Ch. 11 - Figure 11.25 depicts gasoline flowing from a...Ch. 11 - For the system in Fig. 11.26, compute the pressure...Ch. 11 - For the system in Fig. 11.26, compute the total...Ch. 11 - For the system in Fig. 11.26 specify the size of...Ch. 11 - A manufacturer of spray nozzles specifies that the...Ch. 11 - Specify the size of new Schedule 40 steel pipe...Ch. 11 - Refer to Fig. 11.27. Water at 80C is being pumped...Ch. 11 - For the system shown in Fig. 11.27 and analyzed in...Ch. 11 - In a water pollution control project, the polluted...Ch. 11 - Repeat Problem 11.29, but use a 3-in Schedule 40...Ch. 11 - Water at 10C is being delivered to a tank on the...Ch. 11 - If the pressure at point A in Fig. 11.29 is 300...Ch. 11 - Change the design of the system in Fig. 11.29 to...Ch. 11 - It is desired to deliver 250 gal/min of ethyl...Ch. 11 - For the system shown in Fig. 11.30, compute the...Ch. 11 - Repeat Problem 11.35, but consider the valve to be...Ch. 11 - Repeat Problem 11.35, but consider the valve to be...Ch. 11 - Figure 11.31 depicts a DN 100 Schedule 40 steel...Ch. 11 - Repeat Problem 11.38 but replace the globe valve...Ch. 11 - Repeat Problem 11.38 but use a DN 125 Schedule 40...Ch. 11 - Repeat Problem 11.38, but replace the globe valve...Ch. 11 - It is desired to drive a small,...Ch. 11 - Figure 11.32 shows a pipe delivering water to the...Ch. 11 - Repeat Problem 11.43, except consider that there...Ch. 11 - A sump pump in a commercial building sits in a...Ch. 11 - For the system designed in Problem 11.45, compute...Ch. 11 - Figure 11.33 shows a part of a chemical processing...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - For the system described in Problem 11.47, and...Ch. 11 - Analyze the system shown in Fig. 11.11 with...Ch. 11 - Create a program or a spreadsheet for analyzing...Ch. 11 - Create a program or a spreadsheet for determining...
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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_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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