1) A solid disk of radius 1.60 m and mass 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity of the disk is 4.27 rad/s at the bottom, what is the height of the inclined plane?
2) A particular motor can provide a maximum of 120.0 N · m of torque. Assuming that all of this torque is used to accelerate a solid, uniform flywheel of mass 9.00 kg and radius 3.50 m, how long will it take for the flywheel to accelerate from rest to 6.00 rad/s?