A turntable with a moment of inertia / = 0.25 kg m² is initially spinning at an angular velocity of wo = 7.7 rad/s. If friction in the bearings exerts a constant torque of 7 = 0.47 Nm, how long does it take for the turntable to stop spinning? Enter your answer in seconds, without the unit.

The drive propeller of a ship starts from rest and accelerates at 2.55 x 10-3 rad/s² for 2.35 x 103 s. For the next 1.68 x 10³ s the propeller rotates at a constant angular speed. Then it decelerates at 2.77 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.23 rad/s. Find the total angular displacement of the propeller. Number i Units

A turntable is switched from 13.5 rad/s to 2.4 rad/s, and the platter goes through an angle of 30.43 radian in reaching the new angular speed. What is the angular acceleration of the platter?

An object is spinning with an initial angular velocity of 15.2 rad/s. Over a time of 1.44 s, the object increases its angular velocity to 44.6 rad/s. How many revolutions did the object rotate through in this time?

An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s. Her moment of inertia with her arms stretched out is 2.84kg m. What is the difference in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.67 kg m2? (Answer in J)

A top has a moment of inertia of 10.7 kg-m2. The top is spinning at 41 rpm. How much rotational kinetic energy (in joules) does the top have?

A bicycle wheel, of radius 0.300 m and mass 1.59 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 52.8 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces?

A 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with the angular velocity in the +z direction.  A torque 11.573N∙m acts on the sphere about the center of the sphere in the +x direction.  What is the angular acceleration, in rad2/s, of the sphere? (Isphere = 2/5 MR2)

A student holds a bike wheel and starts it spinning with an initial angular speed of 9.09.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s10.0 s period following the inital spin, the bike wheel undergoes 65.065.0 complete rotations. Assuming the frictional torque remains constant, how much more time Δ?sΔ⁢ts will it take the bike wheel to come to a complete stop?   Δ?s=Δ⁢ts=   ss The bike wheel has a mass of 0.725 kg0.725 kg and a radius of 0.385 m0.385 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque ?fτf that was acting on the spinning wheel.