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28 February, 17:15

At takeoff, an aircraft travels at 62 m/s, so that the air speed relative to the bottom of the wing is 62 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast must it move over the upper surface to create the ideal lift?

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  1. 28 February, 19:13
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    the aircraft must travel at a speed of 73.4 m/s in order to create the ideal lift.

    Explanation:

    We will use Bernoulli's theorem in order to determine the pressure lift:

    ΔP = 1/2 (ρ) (v₂² - v₁²)

    the generated pressure lift is ΔP = 1000 N/m²

    Therefore,

    1000 = 1/2 (ρ) (v₂² - v₁²)

    v₂² - v₁² = 2000 / ρ

    v₂² = (2000 N/m² / 1.29 kg/m³) + (62 m/s) ²

    v₂ = √[ (2000 N/m² / 1.29 kg/m³) + (62 m/s) ² ]

    v₂ = 73.4 m/s

    Therefore, the aircraft must travel at a speed of 73.4 m/s in order to create the ideal lift.
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