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March 29, 2017

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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 - ,

    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*106 N

    Compare with the weight of a Boeing 747-8:
    442,000 Kg= 4.33*106 N.

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