In the game of tetherball, a ball is hung from a vertical pole via a 0.75m rope. The rope is allowed to pivot freely from the top of the pole so the ball can swing around the pole. If the angle of the rope is 30° with respect to the pole, how much time does it take the ball to make one complete revolution around the pole?

You have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?

A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.7s before coming to rest.How many revolutions did the centrifuge complete after being turned off?Δθ= (?) rev

A rubber ball is attached to a 1.44-meter string and spun in a horizontal circle. The tension in the string is 2.91 N. It takes 0.644 s for the ball to complete one revolution. Determine the mass (in kg) of the ball.

In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r = 0.519 m), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of 0 above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when 0 = 64.0°? Number Units

A 1.3 kg rock is swung in a circular path and in a vertical plane on a 2.1 m length string. At the top of the path, the angular velocity is 12 rad/s. What is the tension in the string at that point?

One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When ? = 17.0°, the speed of the object is 6.00 m/s. At this instant, find the total acceleration and degree below the cord.

A small object of mass 0.500 kg is attached by a 0.840 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.80 m/s. What is the magnitude of the radial acceleration of the object?