Physics Quiz on Angular and Tangential Velocity

A Ferris wheel is turning at a constant rate. It completes two revolutions every two minutes. What is the angular velocity of the Ferris wheel, in rad/s?

If the Ferris wheel's radius is 15 meters, what is the tangential velocity of the riders?

If the Ferris wheel's radius is 30 meters, what is the tangential velocity of the riders?

At t = 5s, what is the Ferris wheel's angular velocity?

At t = 5s, what is the Ferris wheel's angular displacement?

At t = 5s, the Ferris wheel's motors turn off. The Ferris wheel then takes an additional 20 seconds to come to a stop. What was the average angular acceleration of the Ferris wheel during these 20 seconds?

Derive an equation for the average angular velocity of child A, in terms of ω and t.

Derive an equation for the average angular acceleration experienced by child A, in terms of Δθ and t.

Child B can accelerate twice as fast as child A. How does child B's angular displacement, ΔθB, compare to child A's angular displacement, ΔθA, after both children accelerate for the same amount of time? Select one.

• ΔθA = ΔθB

• √2(ΔθA) = ΔθB

• 0.5(ΔθA) = ΔθB

An object begins at rest. It then begins to spin, accelerating constantly. After t seconds, the object has an angular displacement of Δθ. Derive an equation for the object's final angular velocity, ω, in terms of θ and t.