Angular Displacement and Velocity Quiz

How many radians are in one complete revolution?

• π radians

• 2π radians

• π/2 radians

• 360 radians

Convert 180 degrees into radians.

• π/2 radians

• π radians

• 2π radians

• π/4 radians

What is the period T of an object moving in a circular path with an angular velocity ω of 2 rad/s?

• π s

• π/2 s

• 1/π s

• 2π s

A player swings a stick, moving the heel through an angle of 1.3 radians in 0.22 seconds. What is the angular velocity of the heel?

• 5.9 rad/s

• 6.0 rad/s

• 0.17 rad/s

• 1.3 rad/s

If a point on the rim of a wheel of radius 1.5 meters moves with a linear speed of 3 meters per second, what is the angular velocity of the wheel?

• 2 rad/s

• 3 rad/s

• 4 rad/s

• 5 rad/s

Which formula correctly represents the relationship between linear velocity v, angular velocity ω, and radius r?

• v=ω/r

• v=r/ω

• v=ωr

• v=ω/2r

A disc rotates at an angular velocity of 12 rad/s. If the radius of the disc is 0.25 meters, what is the linear velocity at the edge of the disc?

• 3 m/s

• 6 m/s

• 4 m/s

• 1.5 m/s

If a wheel completes 10 revolutions in 2 seconds, what is its angular velocity?

• 5 rad/s

• 10 rad/s

• 20 rad/s

• 31.4 rad/s

Given an angular velocity ω of 4 rad/s and a radius r of 0.5 meters, what is the linear speed v of a point on the circumference?

• 2 m/s

• 8 m/s

• 1 m/s

• 4 m/s

What is the angular displacement in degrees if the displacement is 2 radians?

• 90°

• 114.59°

• 180°

• 45°