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Question

Air streams horizontally past an air plane. The speed over the top surface is 60 m/s and that under the bottom surface is 45 m/s. The density of air being 1.293 kg/m3, calculate the difference in pressure across the wing.

A
1018 N/m2
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B
516 N/m2
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C
1140 N/m2
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D
2250 N/m2
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Solution

The correct option is A 1018 N/m2
Applying the bernoulli's equation for two points 1 and 2, just above the wing (top surface) and just below the wing (bottom surface ) of the aircraft.
( wings of aircraft play role in aerodynamics or lifting of plane)


v1=60 m/s (speed of air at top surface)
v2=45 m/s (speed of air at bottom surface)
(v1>v2), therefore (P2>P1) from Bernoulli's principle of energy conservation.
P1+ρgh+12ρv21=P2+ρgh+12ρv22
P2P1=12ρ(v21v22)
or ΔP=12×1.293×((60)2(45)2)
ΔP=1018.231018 N/m2

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