As a result of friction, the angular speed of a wheel

Chapter 10, Problem 89

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As a result of friction, the angular speed of a wheel changes with time according to du dt 5 v0e 2st where v0 and s are constants. The angular speed changes from 3.50 rad/s at t 5 0 to 2.00 rad/s at t 5 9.30 s. (a) Use this information to determine s and v0. Then determine (b) the magnitude of the angular acceleration at t 5 3.00 s, (c) the number of revolutions the wheel makes in the first 2.50 s, and (d) the number of revolutions it makes before coming to rest.

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