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

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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