1
answer
0
watching
99
views
10 Nov 2019
Show that the variation of atmospheric pressure with altitude is given by P=(Po)e^(-alpha(y)) where alpha= rho(initial)(g)/(rho*Po). Po is atmospheric pressure at some reference level y=0 and rho initial is the atmospheric density at this level. Assume the decrease in atmospheric pressure over an infinitesimal change in altitude (so that density is approximately uniform over the infinitesimal change) can be expressed as dP=-rho(g) dy. Also assume the density of air is proportional to the pressure which as we will see in CH 20 is equivalent to assuming the temperature of the air is the same at all altitudes.
Show that the variation of atmospheric pressure with altitude is given by P=(Po)e^(-alpha(y)) where alpha= rho(initial)(g)/(rho*Po). Po is atmospheric pressure at some reference level y=0 and rho initial is the atmospheric density at this level. Assume the decrease in atmospheric pressure over an infinitesimal change in altitude (so that density is approximately uniform over the infinitesimal change) can be expressed as dP=-rho(g) dy. Also assume the density of air is proportional to the pressure which as we will see in CH 20 is equivalent to assuming the temperature of the air is the same at all altitudes.
Deanna HettingerLv2
18 Jun 2019
