A 1.1-kg 20-cm-diameter solid sphere is rotating about its diameter at 73 rev/min. (a) What is its kinetic energy?(b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball?

A merry-go-round rotates at the rate of 0.25 rev/s with an 75-kg man standing at a point 2.0 m from the axis of rotation. (a) What is the new angular speed when the man walks to a point 1.0 m from the center? Assume that the merry- go-round is a solid 25-kg cylinder of radius 2.0 m. rad/sec (b) Calculate the change in kinetic energy due to this movement. How do you account for this change in kinetic energy? O Wind resistance varies as the square of the speed. O Work is done by the merry-go-round on the man as he moves towards the center. O The moment arm of the man about the axis of rotation decreases. O Work is done by the man on the system as he moves towards the center.

A thin rod (length mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What is the magnitude of the angular acceleration of the rod just before it strikes the floor? 3.00 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The (a) NumberT465.9 Units T m/s Units (b) Number|2.55 [rad/s

A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 18.0 m/s, assuming 82.0% of the rotational kinetic energy can be transformed into translational energy.  rad/s (b) How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill?