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1. (10 pts.) A roller of radius 72cm is spun at an angular velocity that depends on time as w(t)-54t-4t with t in s and w in rev/s. (a) Find the time at which the angular velocity is maximum. (b) Calculate the maximum angular velocity. (c) Calculate the maximum centripetal acceleration of a point on the rollers rim. (d) Find the time at which the angular acceleration is maximum.
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