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c. If the pressure P of the rockeť'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 = ; find the value of T used to RT ii. produce the data if g=9.81 m/s², R=287 J/(kgK). iii. Find the rate of change of P with respect to T @T=200K. Altitude (z) Pressure (kP) 500 18.362 1000 16.858 1500 15.477 2000 14.210 2500 13.046 3000 11.977

c. If the pressure P of the rockeť'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 = ; find the value of T used to RT ii. produce the data if g=9.81 m/s², R=287 J/(kgK). iii. Find the rate of change of P with respect to T @T=200K. Altitude (z) Pressure (kP) 500 18.362 1000 16.858 1500 15.477 2000 14.210 2500 13.046 3000 11.977

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Solve the branch c

1 v?(t)dt T VRMS = 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). iii. Find the rate of change of P with respect to T @T=200K. Altitude (z) Pressure (kP) 500 18.362 1000 16.858 1500 15.477 2000 14.210 2500 13.046 3000 11.977
Transcribed Image Text:1 v?(t)dt T VRMS = 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). iii. Find the rate of change of P with respect to T @T=200K. Altitude (z) Pressure (kP) 500 18.362 1000 16.858 1500 15.477 2000 14.210 2500 13.046 3000 11.977
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) And the energy is given by: V2 W = PdV V1 i. If V2=2V1, Find w. ii. What will be W if V2=4V1. Use Matlab or excel to plot the Energy in the interval [0, 27] b. If the vibration at the boundaries of the piston of the motor is given by: i. 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). iii. v(t) = 5sin(2wt) cos(4wt) find the average and rms vibration for each case: ii. 1 v(t)dt T . Vavg
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) And the energy is given by: V2 W = PdV V1 i. If V2=2V1, Find w. ii. What will be W if V2=4V1. Use Matlab or excel to plot the Energy in the interval [0, 27] b. If the vibration at the boundaries of the piston of the motor is given by: i. 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). iii. v(t) = 5sin(2wt) cos(4wt) find the average and rms vibration for each case: ii. 1 v(t)dt T . Vavg
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