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Q.

The speed of flow past the lower surface of a wing of an aeroplane is 50 ms-1. What speed of flow over the upper surface will-give a dynamic lift of 1000 Pa? Density of air = 1.3 kg m3.

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a

25.55 m/s

b

63.55 m/s

c

13.25 m/s

d

None

answer is B.

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Detailed Solution

Applying Bernoulli's theorem to the lower and upper surface of a wing.P1 +12ρv21 = P2 + 12ρv22or P1-P2 = 12ρ(v22-v21)⇒1000 = 12×1.30(v22-502) [∵ lift = P1-P2]or v22 -2500 = 20001.3or, v2 = 63.55 m/s

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The speed of flow past the lower surface of a wing of an aeroplane is 50 ms-1. What speed of flow over the upper surface will-give a dynamic lift of 1000 Pa? Density of air = 1.3 kg m3.