hi, I want the answer for the whole question please Task 3a. If the Pressure produced by the gas cylinder of the motor of therocket is governed by the below equation:P = sin*(V)cos³(V)3And the energy is given by:V2W =PdVV1i.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 isgiven by:v(t)= at + b; a, b are constants, you may choose any integervalue 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.TVavgv(t)dtT 1VRMS =v²(t)dtTc. If the pressure P of the rocket's gas at an altitude z, temperature Tis decaying at a rate proportional to the current pressure. For thegiven data derive an expression of the pressure as a function ofaltitude. Explain why you used the positive or negative sign in yourderived expression.i.Evaluate P at z= 5000 m.If the proportional constant =RTfind the value of T used toii.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)50018.362100016.858150015.477200014.210250013.046300011.977

Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Answered: vi i. If V2=2V1, Find W. ii. What will…

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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Question

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

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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