For an airplane in flight, the average speed of the air relative to the plane is...

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For an airplane in flight, the average speed of the air relative to the plane is...

For an airplane in flight, the average speed of the air relative to the plane is 317 m/s below the wings and 348 m/s above the wings. The bottom of each wing has a surface area of 29.9 m². Calculate the lift, which is the net upward force of air on the plane.

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Answer 1

Answer #1

vb =317 m/s , va =348 m/s

Ab = 29.9 m^2

density of air d = 1.2 kg/m^3

Volume flow rate is constant

vb*Ab = va*Aa

Aa = vb*Ab/va = (317*29.9)/348

Aa = 27.24 m^2

F =PA

P = (1/2)dv^2

Net force Fb -Fa = (1/2)dvb²Ab - (1/2)dva²Aa

= (1/2)(1.2) [ (348*348*27.24) - (317*317*29.9)]

Fnet =1.77x10⁵ N

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Answer 2

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