1. A bowling ball has a mass of 4.0 kg, a moment of inertia of 1.6x10 to the - 2nd kg.m2 and a radius of .20m. If it roll down a horizontal lane without slipping at a linear speed of 4.0 m/s, what is its total kinetic energy?
2. A gyroscope has a moment of inertia of .14 kg.m2 and has an initial angular velocity of 15 rad/s. Friction in the bearing causes its velocity to reduce to zero in 30s. What is the value of the frictional torque?
3. A rotating flywheel can be used as a method to store energy. If it is required that such a device be able to store up to a maximum of 10x10 to the 5th J when rotating at 400 rad/s, what moment of inertia is required?