Air streams flows horizontally past an air plane. The speed over the top surface is 50m/s and that under the bottom surface is 40m/s. If the density of air is 1.2kg/m3, then the difference in pressure across the plane is
A
1160N/m2
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B
540N/m2
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C
280N/m2
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D
12.84N/m2
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Solution
The correct option is B540N/m2 Let P1 and P2 be the pressure at the top and bottom surface respectively. given, v1=50m/s v2=40m/s Applying Bernoulli's equation, we get P1+ρgh1+12ρv21=P1+ρgh2+12ρv22 [∵h1=h2] ⇒P1+12ρv21=P2+12ρv22 ⇒12ρ(v21−v22)=P2−P1 ⇒12×1.2(502−402)=ΔP ⇒ΔP=540N/m2