Angular velocity

A ball rotates 8π rad in 4.0 s. What is its angular velocity?

A toy car rolls in a circular path of radius 1.30 m and the car wheels rotate an arc length of 0.65 m in 0.50 s. What is the angular velocity of the wheels?

A bicycle with tires of radius equal to 0.45 m is moving at a constant angular velocity of 4.0 rad/s. What is the linear velocity of the bicycle?

There are two people on a merry go round. Person A is 2.3 m from the axis of rotation. Person B is 3.4 m from the axis of rotation. The merry go round moves through an angular displacement of π/4. What linear displacement (arc length) is covered by both people? Compare and contrast these motions.

An object moves π/2 radians in 8 s. What is its angular velocity?

What is the linear speed of a child on a merry-go-round of radius 3.0 m that has an angular velocity of 4.0 rad/s?

What is the angular velocity of an object traveling in a circle of radius 0.75 m with a linear speed of 3.5 m/s?