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Derive an expression for the kinetic en...

Derive an expression for the kinetic energy of a body rotating with constant angular velocity. State how it depends on the moment of inertia, and frequency and period of rotation.

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Knowledge Check

  • The kinetic energy of a rotating body depends upon

    A
    distribution of mass only
    B
    angular speed only
    C
    distribution of mass and angular speed
    D
    angular acceleration only

  • For a body rotating with constant angular velcoity, its kinetic energy is directly proportional to the square of its

    A
    frequency of rotation
    B
    rotational period
    C
    radius of gyration
    D
    both (a) and (c )

  • If the angular velocity of a rotating rigid body is increased then its moment of inertia about that axis

    A
    increases
    B
    decreases
    C
    becomes zero
    D
    remains unchanged

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