How many revolutions will the rotor turn coming to rest

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Q. A centrifuge rotor rotating at 10,000 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 1.00 m?N. If the mass of the rotor is 4.70 kg and it can be approximated as a solid cylinder of radius 0.0780 m, through how many revolutions will the rotor turn before coming to rest?

Q. A 13.0 kg bucket of water of is suspended by a rope wrapped around a windlass, which is a solid cylinder 0.400 m in diameter with mass 14.0 kg. The cylinder is pivoted on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 10.0 m to the water. Neglect the weight of the rope.(a) What is the tension in the rope while the bucket is falling? (b) With what speed does the bucket strike the water? (c) What is the time of fall? (d) While the bucket is falling, what is the force exerted on the cylinder by the axle?

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