(a) A uniform, solid, cylindrical flywheel of radius 4 m and mass 5 kg rotates at 2.7 rad/s. What is the magnitude of the flywheel's angular momentum? (b) In a certain cyclotron, a proton of mass 6.67 x 10^-27 kg moves in a circle of diameter 1.6 m with an angular speed of 2.0 x 10^6 rad/s. What is the angular momentum of the proton? (c) An ice skater has a moment of inertia of 5.0 kg m^2 when her arms are outstretched, and at this time she is spinning at 3.0 rev/s. If she pulls in her arms and decreases her moment of inertia to 20 kg m^2, how fast will she be spinning?