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 28RQ
To determine
TO DESCRIBE:
Cup anemometer
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
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)…
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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