After closing a deal with a client, Kent leans back in his swivel chair and spins around with a frequency of   69   Hz. What is Kent’s period of spin?

During a trampoline routine, a gymnast is tumbling in the air at 21 rad/s in a tuck position. He then extends into a layout position and doubles his radius of gyration just before landing on the trampoline bed.   How fast is his angular velocity in rad/s at this instant, just before landing on the trampoline bed?

A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second

A student is whirling a ball on a string in a circle with an angular speed of 20 rad/s.  Air drag decelerates the ball at a rate of -3 rad/s2.  What is the angular speed of the ball after it has spun through an angle of 30 radians? Remember to include units with your answer.   A disk is initially at rest.  If the disk speeds up uniformly to a speed of 45 rad/s in a time of 15 seconds, what angle does it turn through? Remember to include units with your answer.

A flywheel slows from 570 to 422 rev/min while rotating through 170 revolutions.  What is the angular acceleration of the body?

A turntable is rotating at 78 revolutions per minute and has a rotational inertia of I= 0.045 kg.m^2. A 500g ball of clay is dropped vertically onto the turntable so it sticks at 8.0cm from the center of the turntable. How fast is the turntable rotating (in rpm) after this event

A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches?   - 0.4 meters  - 0.5 meters - 0.6 meters - 1.3 meters

A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 37 rev/s, and its tip has a tangential speed of 56 m/s. What is the length of the rotating string

A windmill wheel makes 4.5 revolutions a second. If the windmill wheel slows down to a complete stop within a time of 2 hours, what is the windmill’s angular acceleration?

Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.3 m from the center. The carousel takes 5.6 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? (b) What is Alex's angular speed ?A and tangential speed vA?