Assessment: Rotational Motion

A point on a wheel of radius 5 m travels an arc length of 15 m. Find its angular displacement in radians.

A blade turns through 20 rad in 5 s. Find its average angular velocity.

A rotor's angular velocity increases from 4 rad/s to 20 rad/s in 8 s. Find its angular acceleration.

A point at radius 1.2 m rotates at ω=5 rad/s. Find its linear speed.

A disc starts at ω₀=3 rad/s and accelerates at α=2 rad/s² for 5 s. Find its angular displacement θ.

A point on a disc of radius 0.25 m experiences an angular acceleration of 8 rad/s². Find its tangential acceleration.

A satellite orbits Earth at constant speed in a circular orbit. Why does it still have acceleration?

A turbine blade completes 600 revolutions per minute. Approximately what is its frequency in Hz?

A wheel decelerates from ω₀=30 rad/s to rest at a constant rate over 6 s. Through how many radians does it turn before stopping?

A ball on a string moves in a horizontal circle of radius 0.8 m, completing 2 revolutions per second. Find its centripetal acceleration. (Use ω=2πf.)