What is the formula for angular velocity?

A wheel is making one full rotation with an angular velocity of radians/seconds. How long will it take the wheel to make 10 full rotations?

You are on a carousel and have completed one full rotation in 15 seconds. What is your angular velocity?

If it takes you 3 seconds to rotate through an angle with an angular velocity of , what is the measure of the angle you are rotating through?

What is the angular velocity of an angle whose measure is when it took a point 10 seconds to rotate through the angle.

True or False: The angular velocity is a measure of an angle of rotation over time.

What is the angular velocity of an angle whose measure is when it took a point 6 seconds to rotate through the angle.

If you are walking around a circular track and your angular velocity through the angle is , how long would it take you to complete a full rotation?