1. in a beams ultracentrifuge, the rotor is suspended magnetically in a vacuum. since there is no mechanical connection to the rotor, the only friction is the air resistance due to the few air molecules in the vacuum. if the rotor is spinning with an angular speed of 5x105 rad/s and the driving force is turned off, its spinning slows down at an angular rate (angular acceleration) of 0.40 rad/s2. a) how long does the rotor spin before coming to rest? [1.25e6 s] b) during this time, through how many revolutions does the rotor spin? [4.97e10 rev] c) if the rotor is 20 cm long, what is the initial speed for a point at the end of the rotor? [1e5 m/s] d) what is its tangential acceleration? [0.08 m/s/s] e) what is the maximum radial acceleration? [5e10 m/s/s]