vi i. If V2=2V1, Find W. ii. What will be W if V2=4V1. iii. Use Matlab or excel to plot the Energy in the interval [0, 2n]
vi i. If V2=2V1, Find W. ii. What will be W if V2=4V1. iii. Use Matlab or excel to plot the Energy in the interval [0, 2n]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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hi, I want the answer for the whole question please
![Task 3
a. If the Pressure produced by the gas cylinder of the motor of the
rocket is governed by the below equation:
P = sin*(V)cos³(V)
3
And the energy is given by:
V2
W =
PdV
V1
i.
If V2=2V1, Find W.
ii.
What will be W if V2=4V1.
iii.
Use Matlab or excel to plot the Energy in the interval [0, 2n]
b. If the vibration at the boundaries of the piston of the motor is
given by:
v(t)
= at + b; a, b are constants, you may choose any integer
value not equal to zero for any of them.
v(t) = te(-t).
v(t) = 5sin(2wt) cos(4wt)
find the average and rms vibration for each case:
i.
ii.
ii.
T
Vavg
v(t)dt
T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb217768-29bf-4cc9-b843-77a9a8f57082%2F178222df-1bff-4b59-afbb-a52f2c165283%2F4zuk6uc_processed.png&w=3840&q=75)
Transcribed Image Text:Task 3
a. If the Pressure produced by the gas cylinder of the motor of the
rocket is governed by the below equation:
P = sin*(V)cos³(V)
3
And the energy is given by:
V2
W =
PdV
V1
i.
If V2=2V1, Find W.
ii.
What will be W if V2=4V1.
iii.
Use Matlab or excel to plot the Energy in the interval [0, 2n]
b. If the vibration at the boundaries of the piston of the motor is
given by:
v(t)
= at + b; a, b are constants, you may choose any integer
value not equal to zero for any of them.
v(t) = te(-t).
v(t) = 5sin(2wt) cos(4wt)
find the average and rms vibration for each case:
i.
ii.
ii.
T
Vavg
v(t)dt
T
Transcribed Image Text:1
VRMS =
v²(t)dt
T
c. If the pressure P of the rocket's gas at an altitude z, temperature T
is decaying at a rate proportional to the current pressure. For the
given data derive an expression of the pressure as a function of
altitude. Explain why you used the positive or negative sign in your
derived expression.
i.
Evaluate P at z= 5000 m.
If the proportional constant =
RT
find the value of T used to
ii.
produce the data if g=9.81 m/s², R=287 J/(kgK).
Find the rate of change of P with respect to T @T=200K.
iii.
Altitude (z)
Pressure (kP)
500
18.362
1000
16.858
1500
15.477
2000
14.210
2500
13.046
3000
11.977
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