A 0.50-kg toy is rotated in a circular path on a horizontal frictionless table using a 0.30-m-long string. What is the tension in the string when it has an angular speed of 2.0 rad/s?

A 1.2-kg ball is tied to the end of a string. The ball is then swung at a constant angular velocity of 9 rad/s in a horizontal circle of radius 2.1 m. What is the torque on the stone?

A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a centripetal acceleration of 4.00 m/s2, what is the point’s tangential speed?

A point mass of 0.36 kg is set to rotate about a fixed axis 0.72 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.22 rad/s2. At what time will the centripetal force acting on the mass be 52.2 N?

A horizontal merry-go-round is initially at rest. At t = 0, it is given a constant angular acceleration ? = 0.0710 rad/s2, which increases its angular velocity. A 23.5 kg child sits at 2.35 m from the axis of rotation.   (a) At t = 9.70 s, determine the centripetal force acting on the child. ________  N   (b) At t = 9.70 s, determine the direction of the net force acting on the child. Specify the angle from the radially inward direction.  ________ °   (c) Through how many radians has the merry-go-round rotated within that 9.70 s time?   _______ rad

A 85.6 g drink is left on a turntable causing it to turn with an angular speed of 8.20 rad/s. If the drink has coefficients of friction of μs = 0.830 and μk = 0.520 with the turntable, what is the furthest distance that the drink could have been placed from the centre of the turntable for the drink not to slide?

A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.

When you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the center. The record, initially at rest at t=0, experiences a constant angular acceleration of 0.698 rad/s for 5 seconds.  What is the magnitude of the centripetal acceleration of the ladybug at the moment t = 5 s?

A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.57 rad/s². At what time will the centripetal force acting on the mass be 55.4 N?

A bus is traveling at a speed of 20.0 m on a straight horizontal road. The wheels have a radius of 0.400 m. If the bus speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, what is the angular speed of each of the wheels during this time?