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16 October, 14:56

A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period Dt 5 1.25 s, the tire is stopped and spun in the oppo - site (counterclockwise) direction, also at 2.50 rad/s. Calculate (a) the change in the tire's angular velocity Dv and (b) the tire's average angular acceleration aav.

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  1. 16 October, 15:45
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    a) The change in the tire's angular velocity is 5 rads/sec

    b) The tire's average angular acceleration is 4 rad/s²

    Explanation:

    initial angular speed, ω (initial) = - 2.5 rad/s

    final speed, ω (final) = 2.5 rad/s

    time = 1.25 s

    a) The change in tire's angular speed

    ω = ω (final) - ω (initial)

    ω = 2.5 - (-2.5) rad/s

    ω = 2.5 + 2.5 (rad/s)

    ω = 5 rad/s

    b) The average angular acceleration

    a = ω : t

    a = 5 rad/s : 1.25 s

    a = 4 rad/s²
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