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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 sтАУ1and63 m sтАУ1┬аrespectively. What is the lift on the wing if its areais 2.5 m2? Take the density of air to be 1.3 kg mтАУ3.



Answer -

Speed of wind on the upper surface of the wing,┬аV1┬а=70 m/s

Speed of wind on the lower surface of the wing,┬аV2┬а=63 m/s

Area of the wing,┬аA┬а= 2.5 m2

Density of air,┬а╧Б┬а= 1.3 kg mтАУ3

According to BernoulliтАЩs theorem, we have the relation:

Where,

P1┬а=Pressure on the upper surface of the wing

P2┬а=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┬а

= 1512.87

= 1.51 ├Ч 103┬аN

Therefore, the lift on the wing of the aeroplane is 1.51 ├Ч 103┬аN.

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