1. A particle moves in a circle 2.50 m in radius. Through what angle in radians does it rotate if it moves through an arc length of 3.50 m? What is this angle in degrees?

1. A centrifuge in a medical laboratory is rotating at an angular speed of 3600 rev/min. When switched off, it rotates 50.0 times before coming to rest. Find the constant angular deceleration of the centrifuge.

1. An airliner arrives at the terminal, and the engines are shut off. The rotor of one of the engines has an initial clockwise angular velocity of 2000 rad/s. The engine's rotation slows with an angular acceleration of magnitude 80.0 rad/s². (a)Determine the angular velocity after 10.0 s. (b) How long does it take the rotor to come to rest?

1. A race car travels in a circular track of radius 400 m. If the car moves with a constant speed of 80 m/s, find (a) its angular velocity and (b) its tangential acceleration.

1. The race car of Problem 4 increases its speed at a constant linear acceleration from 70 m/s to 95 m/s in 10 s. (a) Find the constant angular acceleration and (b) the angle the car moves through in this time.

1. A tire 0.500 m in radius rotates at a constant rate of 300 revolutions per minute. Find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge).

1. The downward motion of an elevator is controlled by a cable that unwinds from a cylinder of radius

0.25 m. What is he angular velocity of the cylinder when the downward speed of the elevator is 1.2 m/s?