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Question -

In a test experiment on a model aeroplane in a wind tunnel, theflow speeds on the upper and lower surfaces of the wing are 70 m s–1and63 m s–1 respectively. What is the lift on the wing if its areais 2.5 m2? Take the density of air to be 1.3 kg m–3.



Answer -

Speed of wind on the upper surface of the wing, V1 =70 m/s

Speed of wind on the lower surface of the wing, V2 =63 m/s

Area of the wing, A = 2.5 m2

Density of air, ρ = 1.3 kg m–3

According to Bernoulli’s theorem, we have the relation:

Where,

P1 =Pressure on the upper surface of the wing

P2 =Pressure on the lower surface of the wing

The pressure difference between the upper and lower surfaces ofthe wing provides lift to the aeroplane.

Lift on the wing 

= 1512.87

= 1.51 × 103 N

Therefore, the lift on the wing of the aeroplane is 1.51 × 103 N.

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