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An airplane with a mass of 2.2 x10 6 kg. has the air flow past the lowersurface

ID: 1730060 • Letter: A

Question

An airplane with a mass of 2.2 x106 kg. has the air flow past the lowersurface of the wings at 80 m/s. If thewings have a surface area of 1200 m2, how fast must theair flow over the upper surface of the wing if the plane is to stayin the air? Consider only the Bernoulli effect.
_____m/s
An airplane with a mass of 2.2 x106 kg. has the air flow past the lowersurface of the wings at 80 m/s. If thewings have a surface area of 1200 m2, how fast must theair flow over the upper surface of the wing if the plane is to stayin the air? Consider only the Bernoulli effect.
_____m/s

Explanation / Answer

The pressure difference is                   P = P2- P1                        = (mg)/A                        = ((2.2 x 106kg)(9.80 m/s2))/(1200 m2) According to Bernoulli's equation          P1 +(1/2)v12 = P2 +(1/2)v22         -(P2-P1 )+ (1/2)v12 = (1/2)v22           Here v1 = 80 m/s            = 1.29 kg/m3 Substitute the values for v2.

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