FLUID MECHANICS FUND. (LL)-W/ACCESS
4th Edition
ISBN: 9781266016042
Author: CENGEL
Publisher: MCG CUSTOM
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Textbook Question
Chapter 1, Problem 15CP
When is a system a closed system, and when is it a control volume?
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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 1 Solutions
FLUID MECHANICS FUND. (LL)-W/ACCESS
Ch. 1 - What is a fluid? How does it differ from a solid?...Ch. 1 - Define internal, external, and open-channel flows.Ch. 1 - Define incompressible flow and in compressible...Ch. 1 - Consider the flow of air over the wings of an...Ch. 1 - What is forced flow? How does it differ from...Ch. 1 - How is the Mach number of a flow defined? That...Ch. 1 - When an airplane is flying at a constant speed...Ch. 1 - Consider the flow of air at a Mach number of 0.12....Ch. 1 - What is the no-slip condition? What causes it?Ch. 1 - What is a boundary layer? What causes a boundary...
Ch. 1 - What is a steady-flow process?Ch. 1 - Define stress, normal stress, shear stress, and...Ch. 1 - What are system, surroundings, and boundary?Ch. 1 - When analyzing the acceleration of gases as they...Ch. 1 - When is a system a closed system, and when is it a...Ch. 1 - You are to understand how a reciprocating air...Ch. 1 - What is the difference between pound-mass and...Ch. 1 - In a news ankle, is stated that a recently...Ch. 1 - Explain why the light-year has the dimension of...Ch. 1 - What is the net force acting on a car cruising at...Ch. 1 - A man goes to a traditional market to buy a steak...Ch. 1 - What is the weight, in N, of an object with a mass...Ch. 1 - What is the weight of a 1-kg substance in N,...Ch. 1 - Determine the mass and the weight of the air...Ch. 1 - A 3-kW resistance heater a water beater...Ch. 1 - A195-Ibm astronaut took his bathroom scale (a...Ch. 1 - The acceleration of high-speed aircraft sometimes...Ch. 1 - A 10-kg rock is thrown upward with a force of 280...Ch. 1 - The value of the gravitational acceleration g...Ch. 1 - At 45° latitude: the gravitational acceleration as...Ch. 1 - 1-32 The gravitational constant g is 9.807m/s2 at...Ch. 1 - On average, an adult person breathes in about 7.0...Ch. 1 - While solving a problem, a person ends up with...Ch. 1 - An airplane flies horizontally at 70m/s . Its...Ch. 1 - If the airplane of Prob. 1-35 weighs 17 lbf,...Ch. 1 - The boom of a fire truck raises a fireman (and his...Ch. 1 - A 6-kg plastic tank that has a volume of 0.18m3 is...Ch. 1 - Water at 15°C from a garden hose fills a 1.5 L...Ch. 1 - A forklift raises a 90.5 kg crate 1.80 m. (a)...Ch. 1 - The gas tank of a car is filled with a nozzle that...Ch. 1 - A pool of volume V (in m3) is to filled with water...Ch. 1 - Based on unit considerations alone, show that the...Ch. 1 - What is the importance of modeling in engineering?...Ch. 1 - What is the difference between the analytical and...Ch. 1 - When modeling an engineering process, how is the...Ch. 1 - What is the difference between precision and...Ch. 1 - How do the differential equations in the study of...Ch. 1 - What is the value of the engineering software...Ch. 1 - The weight of bodies may change somewhat from one...Ch. 1 - The reactive force developed by a jet to push an...Ch. 1 - An important design consideration in two-phase...Ch. 1 - Consider the flow of air through a wind turbine...Ch. 1 - A tank is filled with oil whose density is =850...Ch. 1 - If mass, heat, and work are not allowed to cross...Ch. 1 - The speed of an aircraft is given to be 260 m/s in...Ch. 1 - One J/kg is equal to (a) 1kPam3 (b) 1kNm/kg (c)...Ch. 1 - Which is a unit for power? (a) Btu (b) kwh (c)...Ch. 1 - The speed of an aircraft is given to be 950 km/h....Ch. 1 - The weight of a 10-kg mass at sea level is (a)...Ch. 1 - The weight of a 1 -Ibm mass is (a) 1Ibmft/s2 (b)...Ch. 1 - A hydroelectric power plant operates at its rated...Ch. 1 - Write an essay on the various mass- and...Ch. 1 - Search the Internet to find out how to properly...Ch. 1 - Another unit is kgf, which is a force unit used...Ch. 1 - Discuss why pressure tests of pressurized tanks...
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