Flight investigations Problem. Thanks in advance?

What is the lift, in newtons, due solely to Bernoulli's principle, of a wing of area 100m^2 if the air passes over the top surface and bottom surface at speeds of 960km/h and 800km/h respectively? (use density of air = 1.290 Note, you will need to work out the relationship between pressure, and lift and area, from their units. (answer is Fnet=1.4kN) ~just wanted to know how they got this i keep getting slightly different answers. have a nice day

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  • 8 years ago
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    Bernoulli's principle:-

    =>P1 + 1/2ρv1^2 + ρgh1 = P2 + 1/2ρv2^2 + ρgh2

    =>as h1 = h2

    =>P1 - P2 = 1/2ρ (v2^2 - v1^2)

    =>∆P = 1/2 x 1.29 x [(960 x 1000/3600)^2 - (800 x 1000/3600)^2]

    =>∆P = 14014.81 Pa

    Thus by P = F/A

    =>F = P x A

    =>F = 14014.81 x 100

    =>F = 1.4 x 10^6 N

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