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Question

Air streams flows horizontally past an air plane. The speed over the top surface is 50 m/s and that under the bottom surface is 40 m/s. If the density of air is 1.2 kg/m3, then the difference in pressure across the plane is

A
1160 N/m2
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B
540 N/m2
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C
280 N/m2
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D
12.84 N/m2
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Solution

The correct option is B 540 N/m2
Let P1 and P2 be the pressure at the top and bottom surface respectively.
given, v1=50 m/s
v2=40 m/s
Applying Bernoulli's equation, we get
P1+ρgh1+12ρv21=P1+ρgh2+12ρv22
[h1=h2]
P1+12ρv21=P2+12ρv22
12ρ(v21v22)=P2P1
12×1.2(502402)=ΔP
ΔP=540 N/m2

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