Posted by **Anonymous** on Thursday, December 3, 2009 at 8:47pm.

What is the net upward force on an airplane wing of area 20.1 m2 if the speed of air flow is 302 m/s across the top of the wing and 287 m/s across the bottom? (assume the density of air is 1.29 kg/m3)

- physics -
**MathMate**, Thursday, December 3, 2009 at 11:10pm
Using Bernoulli equation:

P+(1/2)ρV²+ρgh=constant.

We get

P1+(1/2)ρV1²=P2+(1/2)ρV2²

ρgh being constant.

Thus

P2-P1=(1/2)ρ(V1²-V2²)

=(1.293*g)*(302²-287²)

=111,952 N/m²

The net upward lift

=111,952*20.1 N/m² m²

=2.25*10^{6} N

Compare with the weight of a Boeing 747-8:

442,000 Kg= 4.33*10^{6} N.

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