
Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 15, Problem 6RQ
To determine
TO DEFINE:
Throat of venturi meter
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find the laplace transform for the
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S
12)
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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 15 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 15 - List six factors that affect the selection and use...Ch. 15 - Define range as it relates to flowmeters.Ch. 15 - Describe three methods for calibrating flowmeters.Ch. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - Prob. 6RQCh. 15 - Prob. 7RQCh. 15 - What is the nominal included angle of the...Ch. 15 - Why is there such a difference between the angles...Ch. 15 - Prob. 10RQ
Ch. 15 - Prob. 11RQCh. 15 - Describe an orifice meter and how it is used.Ch. 15 - Describe a flow tube and how it is used.Ch. 15 - Of the venturi, the flow nozzle, the flow tube,...Ch. 15 - Describe pressure loss as it relates to flowmetersCh. 15 - Rank the venturi, the flow nozzle, the orifice,...Ch. 15 - Prob. 17RQCh. 15 - Prob. 18RQCh. 15 - Prob. 19RQCh. 15 - Describe a magnetic flowmeter and how it is usedCh. 15 - Describe how mass flow irate can be measuredCh. 15 - Describe a pitot tube and how it is used.Ch. 15 - Prob. 23RQCh. 15 - Prob. 24RQCh. 15 - Prob. 25RQCh. 15 - Prob. 26RQCh. 15 - Describe the method used to measure the average...Ch. 15 - Prob. 28RQCh. 15 - Describe a hot-wire anemometer and how it is usedCh. 15 - Prob. 30RQCh. 15 - A venturi meter similar to the one in Fig. 15.2has...Ch. 15 - Air with a specific weight of 12.7N/m3 and a...Ch. 15 - Prob. 15.3PPCh. 15 - Prob. 15.4PPCh. 15 - Prob. 15.5PPCh. 15 - Prob. 15.6PPCh. 15 - Prob. 15.7PPCh. 15 - An orifice meter is to be used to measure the flow...Ch. 15 - A flow nozzle is to be installed in a 5-in Type K...Ch. 15 - An orifice meter is to be installed in a 12-in...Ch. 15 - A pitot-static tube is inserted into a pipe...Ch. 15 - A pitot-static tube is connected to a differential...Ch. 15 - A pitot-static tube is inserted in a pipe carrying...Ch. 15 - A pitot-static tube is inserted into a duct...Ch. 15 - A pitot-static tube is inserted into a duct...
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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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