A turntable reaches an angular speed of 45.0 rpm in 2.21 s, starting from rest. Assuming the angular acceleration is constant, what is its magnitude?

A turntable must spin at 33.3 rpm (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 2.50 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.9 cm and mass 0.267 kg.

If a car driving in a large circle of radius 185 m has tangential acceleration of 20 m/s2, and an angular velocity of 0.5 rad/s, what is the magnitude of the total acceleration of the car in m/s2?

When a turntable rotating at 𝜔𝑡 = 34.4 𝑟𝑒𝑣𝑚𝑖𝑛 is shut off, it comes to rest in 𝑡 = 25.0 𝑠. Assumingconstant angular acceleration, find the angular acceleration, the average angular velocity of theturntable, and the number of revolutions it makes before stopping. (3 sig. figs)Problem 4A thin, uniform metal bar, 𝐿𝑏𝑎𝑟 = 2.00 𝑚 long and weighing 𝐹𝑏𝑎𝑟 = 90.0 𝑁 , is hangingvertically from the ceiling by a frictionless pivot. Suddenly it is struck 𝐿ℎ𝑖𝑡 = 1.50𝑚 below theceiling by a small 𝑚𝑏 = 3.00 𝑘𝑔 ball, initially horizontal at 𝑣𝑖 = 10.0 𝑚𝑠 . The ball rebounds inthe opposite direction with a speed of 𝑣𝑓 = 6.00 𝑚𝑠 . Find the angular speed of the bar just afterthe collision. During the collision, why is the angular momentum conserved but not the linearmomentum? (3 sig figs)

The angular speed of a propeller on a boat increases with constant acceleration from 12.4 rad/s to 22.0 rad/s in 2.50 revolutions. What is the acceleration of the propeller?

The propeller of a plane rotate clockwise at 31800 rpm. What is the angular acceleration (in rad/s2) of the propeller if it takes 6.00 s to come to a standstill? Give your answer as a positive value.