An airliner is flying at 34,000 ft cruise altitude on a standard day. Calculate the pressure difference between the cabin and the atmosphere if the cabin is pressurized to an altitude of 8,000 ft. Assume standard day temperature in the cabin

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Answer:

[tex]\Delta P=61,952.8\ lb/ft^2[/tex]

Explanation:

Given

Airline flying at 34,000 ft.

Cabin pressurized to an altitude 8,000 ft.

We know that at standard condition ,density of air

[tex]\rho =0.074\ lb/ft^3[/tex]

We know that pressure difference    

ΔP=ρ g ΔZ

Here ΔZ=34,000-8,000  ft

        ΔZ=26,000 ft

[tex]g= 32.2\ ft/s^2[/tex]

ΔP=0.074 x 32.2 x 26,000

[tex]\Delta P=61,952.8\ lb/ft^2[/tex]

So pressure difference will be [tex]\Delta P=61,952.8\ lb/ft^2[/tex].

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