The linear velocity of a tetherball is 10 m/s as it moves around a circle of radius, r =2 m. What is the angular velocity of the tetherball?

A cooling fan is turned off when it is running at 950 rev/minrev/min . It turns 1500 revolutions before it comes to a stop. What was the fan's angular acceleration, assumed constant?

A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?

At a particular instant an object at (r=2m and θ=0 )is moving such that its radial speed is 3m/s and its angular speed is 2m/s. What is the magnitude of its speed?

A point on the rim of a 0.81 m radius rotating wheel has a centripetal acceleration of 6.9 m/s2. What is the angular velocity of a point 0.42 m from the center of the wheel?

An ultracentrifuge accelerates from rest to 9.97×10^5 rpm in 1.51 min. What is its angular acceleration in radians per second squared? What is the tangential acceleration of a point 9.10 cm from the axis of rotation? What is the radial acceleration in meters per second squared and in multiples of ? of this point at full revolutions per minute?

A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches?

An object is traveling around a circle with a radius of 9 feet. If in 20 seconds a central angle of 13 radian is swept​ out, what are the linear and angular speeds of the​ object?

Imagine a disc which has a diameter of 2.00m. The angular velocity of the spinning disk is 305rev/min. a) What is the angular velocity of the disk in radians per second? b) What is the linear speed of a point on the rim of the disk? (m/s) c) Find the angular accleration (in revolutions per minute-squared)that will increase the disk's angular velocity to 1000 rev/min in 60 s. Assume the acceleration is constant. d) How many revolutions does the disk make during this 60 s accleration? d)

A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is dropped so that it sticks to the cylinder at a distance of 0.10 m from the axis of rotation, and the system’s angular speed decreases to 10.5 rad/s. What is the mass of the dropped object?