2 2. Pressure in the atmosphere: The atmosphere has a density p that is related to the pressurep by p = pRT (ideal gas law), where R is the specific gas constant of air and T is the localtemperature. In class we looked at a constant-temperature atmosphere. More realistically,the temperature in the atmosphere drops off with altitude z (height above sea level) roughlyas T = To Iz, where I is the so-called lapse rate and is a constant. Assume a staticatmosphere with properties varying only in z. The pressure at sea level is a known value po.(a) Starting from the basic hydrostatic model we derived in class (d = -pg) and using theinformation given above, derive a differential equation for p(z). Also write down theboundary condition.(b) Solve the differential equation to obtain p(z).

The ideal gas equation R= Gas constant.T is the local temp.T =T0-Z Where is the time-lapse rate and…

we looked at a constant-temperature atmosphe e atmosphere drops off with altitudez (height al ere I is the so-called lapse rate and is a const erties varying only in z. The pressure at sea leve basic hydrostatic model we derived in class (d 1 above, derive a differential equation for p(z). dp dz

we looked at a constant-temperature atmosphe e atmosphere drops off with altitudez (height al ere I is the so-called lapse rate and is a const erties varying only in z. The pressure at sea leve basic hydrostatic model we derived in class (d 1 above, derive a differential equation for p(z). dp dz

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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