A dentist's drill starts from rest. After 3.10 s of constant angular acceleration it turns at a rate of 2.70 ✕ 104 rev/min. (a) Find the drill's angular acceleration.   (b) Determine the angle (in radians) through which the drill rotates during this period.

Starting from rest at t=0, a wheel undergoes a constant angular acceleration. When t=2.33s, the angular velocity of the wheel is 4.96rad/s. The acceleration continues until t=23.0s,when it abruptly ceases. Through what angle does the wheel rotate in the interval t=0 to t=46.0s?

You spin a disk, giving it an initial angular velocity of 2.50 rad/s clockwise. After you give it that initial spin, the disk has a constant angular acceleration of 0.400 rad/s? counterclockwise. (a) How much time passes before the disk reverses direction? (b) What is the disk's angular displacement, relative to its starting position, at the instant it comes instantaneously to rest? rad (c) At t = 12.0 s after you gave it its initial angular velocity, what is the disk's angular velocity? Use a positive sign for clockwise, and a negative sign for counterclockwise. rad/s

A wheel of diameter 21.0 cm has a 10.0 m cord wrapped around its periphery. Starting from rest, the wheel is given a constant angular acceleration of 3.00 rad/s². How long will it take the cord to unwind?