cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration. After 10 s, the wheels have made 40 rev. What is the angular velocity of the wheels after 10 s in rad/s ? What is the angular acceleration of the wheels in rad/s2 ? If the radius of the wheel is 34 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 10 s

Starting from rest, a wheel with a radius of 0.55 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.05 rad/s2. What is the speed of the wheel in m/s after it has rotated through 17 full revolutions

A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate the angular acceleration of the pulley, the angle through which it turns in this time, the length of belt it winds in that same time.

A flywheel slows from 517.7 rev/min down to 364.9 rev/min while spinning through 44.4 revolutions. What is the angular acceleration of the flywheel (in rad/s/s)? Assume that the flywheel slows down at a constant rate.

A bicycle wheel is rotating at 40 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s^2 What is the wheel's angular velocity, in rpm, 8.0 s later?

June started winding up her arm holding a baseball, moving it around her shoulder in a circle, to get ready to throw. June’s arm is 0.5 m long and moves at an angular velocity of 2 rad/s. How much time will 10 revolutions take? What is the velocity of the baseball when she let go of it?

A wheel, initially at rest, starts and rotates trough an angle 100rad with a constant angular acceleration of 2rad/s. What is the angular speed of the wheel at the end of that 100 rad angular displacement? How long did it take the wheel to rotate trough first 50rad?

A cylinder spins along its symmetry axis at 20 rad/s and linearly slows down to a stop over 2 seconds. What is its angular acceleration and angular displacement?

A 3.45-kg centrifuge takes 99 s to spin up from rest to its final angular speed with constant angular acceleration. A point located 6.9 cm from the axis of rotation of the centrifuge moves with a speed of 178.2 m/s when the centrifuge is at full speed. What is the angular acceleration (in rad/s2) of the centrifuge as it spins up?

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center.   (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?