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Lift on an aircraft wing from air speeds above and below it

This type of question, asked 3 times: 29 Jan 2023, 29 Jan 2024, 1 Feb 2024. All 3 questions below, oldest first.

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  1. Question 1

    29 Jan 2023

    103
    A fully loaded boeing aircraft has a mass of 5.4×105 kg5.4 \times10^{5}\text{ }kg. Its total wing area is 500 m2500{\text{ }m}^{2}. It is in level flight with a speed of 1080 km/h1080\text{ }km/h. If the density of air ρ\rho is 1.2 kg m−31.2\text{ }kg{\text{ }m}^{- 3}, the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be. (g=10 m/s2)\left( g = 10\text{ }m/s^{2} \right)

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  2. Question 2

    29 Jan 2024

    30
    In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 ms−170{\text{ }ms}^{- 1} and 65 ms−165{\text{ }ms}^{- 1} respectively. If the wing area is 2 m22{\text{ }m}^{2} the lift of the wing is _____ NN. (Given density of air =1.2 kg m−3= 1.2\text{ }kg{\text{ }m}^{- 3} )

  3. Question 3

    1 Feb 2024

    28
    A plane is in level flight at constant speed and each of its two wings has an area of 40 m240{\text{ }m}^{2}. If the speed of the air is 180 km/h180\text{ }km/h over the lower wing surface and 252 km/h252\text{ }km/h over the upper wing surface, the mass of the plane is ______ kg. (Take air density to be 1 kg m−31\text{ }kg{\text{ }m}^{- 3} and g=10 ms−2g = 10{\text{ }ms}^{- 2} )