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27 May, 04:59

An airplane weighing 73.6 kN has elliptic wings 15.23 m in span. For a speed of 90 ms^-1 in straight and level flight at low altitude, find (a) the induced drag and (b) the circulation around sections halfway along the wings.

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  1. 27 May, 08:29
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    The correct answer for (a) D = 1.5 KN (b) r₀ = 55.8 m²/s

    Explanation:

    Solution

    The first step is to solve for the induced drag

    (a) Given that,

    The Aeroplane weight L = 73.6 kN, which is called the lift force

    The wings in span = 15.23 m

    The speed = 90 ms^-1

    At a lower altitude, the air density p = 1.225 * kg/m³

    (a) Now,

    The induced drag = D = L²/1/2 p V²π b² e

    Where e = efficiency

    = (73.6 * 10³) ²/1/2 * 1.225 * 90² * π * 15.23²

    Thus,

    D = 1.5 KN

    (b) The circulations around sections halfway along the wings

    The overall wings is denoted by

    L = π / 4 p V r₀ b

    where r₀ is the wings center of circulation

    now,

    73.6 * 10³ = π / 4 * 1.225 * 90 * r₀ * 15.23

    r₀ = 4 * 73.6 * 10³ / π * 1.225 * 90 * 15.23

    Therefore r₀ = 55.8 m²/s
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