. An air-plane has an effective wing surface area of 16.0 m² that is generating the lift force. In level flight the air speed over the top of the wings is 60.0 m/s, while the air speed beneath the wings is 41.0 m/s. What is the weight of the plane?(The density of air is 1.29 kg/m³)
The weight of a plane in level flight will be equal to the lift force generated by the wings.
Calculatig lift force
The pressure difference between the top and bottom of the wing is
Substituting our values, we get
Since this pressure acts on the wing area, we can calculate the force
This is the lift force. This is also equal to the weight of the plane.
Therefore, the weight of the plane is .
Dividing this by the acceleration due to gravity, we can even get the mass of the plane.
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