Quiz on Circular Motion Concepts

Which of the following correctly defines the radian?

• The angle subtended at the centre of a circle by an arc equal to the radius.

• The angle at which a circle's diameter is equal to the arc length.

• The angle subtended at the centre of a circle by an arc equal to twice the radius.

What is the total angular displacement in radians for one complete revolution?

• π

• 2π

• 4π

• 2π/2

The angular speed (ω) of an object in circular motion can be calculated using which of the following equations?

Which of the following quantities has the unit rad/s?

• Angular displacement

• Angular velocity

• Centripetal force

• Linear velocity

An object moving in a circle with constant angular speed experiences centripetal acceleration because:

• Its tangential speed is increasing.

• Its velocity is changing direction continuously.

• The centripetal force increases over time.

• Its angular speed is not constant.

What is the relationship between linear velocity (vvv) and angular velocity (ω\omegaω) for an object moving in a circle of radius rrr?

If the angular velocity of a wheel is 4.0 rad/s, and its radius is 0.5 m, what is the linear speed of a point on its edge?

• 2 m/s

• 4 m/s

• 8 m/s

• 0.5 m/s

Which of the following statements about centripetal force is correct?

• It acts in the same direction as the velocity of the object.

• It is caused by the object's inertia.

• It is the resultant force that acts towards the centre of the circle.

• It is a type of force that exists independently.

A car of mass m moves at constant speed v around a circular track of radius r. The centripetal force acting on the car is given by:

• F=mv²

• F=mrv²

• F=mv²/r

• F=m/r

Which of the following quantities is NOT constant for an object moving in a circle at uniform angular speed?

• Angular displacement per unit time

• Magnitude of the centripetal force

• Direction of the velocity vector

• Magnitude of the velocity vector