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3 August, 02:35

A model airplane with mass 0.741 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.5 m in radius. The airplane engine provides a net thrust of 0.804 N perpendicular to the tethering wire.

Find the magnitude of the torque the net thrust produces about the center of the circle.

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  1. 3 August, 02:42
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    The magnitude of torque is τ = 24.522 N*m^2

    Explanation:

    To find the magnitude of the torque can use the equation of the force produce by the airplane so:

    τ = F * d

    τ = 0.804 N * 30.5 m

    τ = 24.522 N*m

    Check:

    Find the acceleration

    I = m*r^2=0.741kg * (30.5m) ^2

    I = 689.32 kg*m^2

    τ = I*a_c

    a_c = τ / I = 24.522 N*m^2 / 689.32 kg*m^2

    a_c = 0.0355 m/s^2

    τ = 0.0355 m/s^2 * 689.32 kg*m^2

    τ = 24.522 N*m^2
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