Question

In: Physics

An airplane has an effective wing surface area of 22.6 m2 that is generating the lift...

An airplane has an effective wing surface area of 22.6 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 75.0 m/s, while the air speed beneath the wings is 60.0 m/s. What is the weight of the plane?

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Expert Solution

For the airplane to fly in air, the weight of the airplane must be balanced by the pressure difference at bottom and top surface of the plane. This pressure difference generates the lift force.

The pressure difference can be calculated by using Bernoulli's principle. Therefore the pressure difference between bottom and top surface of the plane is

or

Where 'v; is speed of the air.

This pressure difference must be counter balanced by the weight(W) of the plane. i.e,

(as Force = pressure x area)

Taking the density of air = 1.29 kg/m³

Given, effective wing surface area (A) = 22.6 m²

speed of air at the top of the wing =75 m/s

speed of air at the bottom of the wing =60 m/s

Therefore,

For any doubt please comment.

genius_generous answered 3 months ago

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