A centrifuge rotor rotating at 10,344 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 3 m times N. The mass of the rotor is 4 kg and it can be approximated as a solid cylinder of radius 0.1 m.
1) What is the kinetic energy of the rotor?
2) What is the angular acceleration of the rotor as it is coming to the stop?
3) During how many revolutions will the rotor turn before coming to rest?
4) How long will it take to stop?