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24 Jan 2022

Given information

It is given that the mass of an airplane is . The air flows past the lower surface of the wings at . The surface area of the wings are . To find how fast must the air flow over the upper surface of the wing if the plane is to stay in the air.

Step-by-step explanation

Step 1.
On applying Bernoulli's equation at the locations of lower surface and upper surface of the wing to relate the forces of air pressure.
 
 
Here, is the atmospheric pressure, is the pressure at the lower surface of the wing, is the pressure at the upper surface of the wing, is the density, is the velocity, is the gravitational constant and are the heights of lower and upper surfaces of a wing.
Assume that the two surfaces of the wing are at the same height from the ground. Then, the above equation becomes,
Rewrite the equation for .
 

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