A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched off, it rotates through 48.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the magnitude of the angular acceleration of the grindstone?

The differential gear of a car axle allows the wheel on the left side of a car to rotate at a different angular speed than the wheel on the right side. A car is driving at a constant speed around a circular track on level ground, completing each lap in 21.0 s. The distance between the tires on the left and right sides of the car is 1.00 m, and the radius of each wheel is 0.370 m. What is the difference between the angular speeds of the wheels on the left and right sides of the car? Number i Units

The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.6 ms. a. What is the magnitude of the average angular velocity of the eye?  asnwer in rad/s b. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? answer in rad/s^2 c. What tangential acceleration would the contact-lens accelerometers record in this case? answer in m/s^2