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A merry-go-round has a mass of 1580 kg and a radius of 7.25m. How much net work is required to accelerate it from rest to a rotation rate of 1 revolution per 7.1s? Assume it is a solid cylinder.

  • Physics -

    The work required equals the final kinetic energy.

    The Kinetic Energy is (1/2) I w^2
    The moment of inertia (for a solid disc) is (1/2)M R^2.

    w = (2 pi radians)/7.1 s = 0.885 rad/s
    is the angular velocity

    Put it all together.

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