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Find the angular velocity of a body rotating with an acceleration of 2 rev/s square as it completes the 5th revolution after the start.

  • physics -

    I assume they want the angular velocity in radians/sec units.

    After 5 revolutions, the angle turned is
    A = 10 pi radians
    The angular acceleration rate is
    alpha = 4 pi radians/s^2
    The time since starting is given by
    A = (1/2)*alpha*t^2
    t^2 = 2A/alpha = 5 sec^2
    t = 2.236 s
    w(at t = 2.236 s) = alpha*t = 28.1 rad/s

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