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A rotating wheel requires 5.00 s to rotate 30.0 revolutions. Its angular velocity at the end of the 5.00 s interval is 100.0 rad/s. What is the constant angular acceleration of the wheel?

  • physics -

    average angular speed = Wav = 30 * 2pi/5 =37.7 rad/s
    so
    (w end + w begin)/2 = 37.7
    (100 + w begin)/2 = 37.7
    100 + w begin = 75.4
    w begin = -24.6 rad/s
    alpha = (w end - w begin)/t
    = 124.6/5 = 25 rad/s^2

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