Problem 3: An aero plane wing is designed so that when the speed of the air across the top of the wing is 450 ms^-1, the speed of air below the wing is 410 ms^-1. What is the pressure difference between the top and bottom of the wing?

Solution

Given data                    Speed of air on the top of the wing = v₁ = 450 ms^-1

                                             Pressure on the top of the wing = P₁ (say)

                                             Speed of air on the bottom of the wing = v₂ = 410 ms^-1

                                             Pressure at the bottom the wing = P₂ (say)

Required                        P₂ – P₁=?

Formula           Bernoulli’s equation (assuming there is no significant difference in the height h of the two sides of the wing) given by

We know the density of air = ρ = 1.29 kg m^-3

Put all these values in the formula.