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15 December, 23:34

A wheel initially has an angular velocity of 18 ras/s but it is slowing ar a rate of 2.0rad/s^2. If it stops in 3 sec it will have turned through how many radian?

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  1. 15 December, 23:45
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    The number of radians (d) that the wheel have turned may be calculated by the equation,

    d = (v1) (t) + 0.5 x a x t²

    where v1 is the initial velocity, a is the acceleration, and t is time. Substituting the known values

    d = (18 rad/s) (3s) + (0.5) x (-2 rad/s²) x (3s) ²

    The value of d is 63 radians.
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