Question #259666

A pilot notices that the barometer pressure outside his aircraft is 800 mbars. The airport below the plane reports a barometric pressure of 1020 mbar. If the air density averages



1.15 kg/m3 and the local gravity is 9.70 m/s2, determine the height of the aircraft above the ground, in meters.

1
Expert's answer
2021-11-01T08:52:30-0400

Pplane = barometric  Pressure

ρ=\rho =  air density

g = local gravity

hplane = height of the aircraft above the ground

Pplane=ρghplaneP_{plane} =\rho gh_{plane}

hplane=ρgPplane=(1020+800)×1001.15×9.70=16.31km=16315.55mh_{plane} =\frac{\rho g}{P_{plane}} = \frac{(1020+800)\times100}{1.15\times9.70} = 16.31km = 16315.55 m from Ground


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