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6 December, 19:34

A remote-controlled car's wheel accelerates at 22.6 rad/s2. If the wheel begins with an angular speed of 10.2 rad/s, what is the wheel's angular speed after exactly sixteen full turns? Answer in units of rad/s.

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  1. 6 December, 19:42
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    70.9pi rad/s

    Explanation:

    angle turned through = 16

    angular acceleration = 22.6 rad/s2

    angular speed = 10.2 rad/s

    time = ?

    angular acceleration = angular speed/time

    time = 10.2/22.6

    time = 0.45 seconds

    angular speed = angle turned through/time

    angular speed = (16 * 2pi) / 0.45

    = 70.9pi rad/s
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