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28 January, 17:55

Calculate the centripetal force on the end of a 100 m (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 4 kg.

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  1. 28 January, 18:07
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    3947.6 N

    Explanation:

    Centripetal Force: This is the force that tend to moves a body towards the center of a circle during circular motion.

    The formula for centripetal force is

    F = mω²r ... Equation 1

    Where F = Centripetal force, ω = angular velocity, r = radius.

    Where π = 3.1415

    Given: m = 4 kg, ω = 0.5 rev/s = (0.5*2π) rad/s = 3.1415 rad/s, r = 100 m.

    Substitute into equation 1

    F = 4 (3.1415) ² (100)

    F = 3947.6 N

    Hence the centripetal force on the turbine blade = 3947.6 N
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