Uniform Circular Motion

Front

What is Uniform Circular Motion?

Back

Uniform Circular Motion is the motion of an object traveling at a constant speed in a circular path. The direction of the object's velocity is continuously changing, which means the object is accelerating.

Front

What is the formula for the period (T) of an object in uniform circular motion?

Back

The period (T) is the time taken for one complete revolution around the circle. It can be calculated using the formula T = 1/f, where f is the frequency in revolutions per second.

Front

How do you calculate the angular velocity (ω) in uniform circular motion?

Back

Angular velocity (ω) can be calculated using the formula ω = 2πf, where f is the frequency of rotation.

Front

What is centripetal acceleration (a_c)?

Back

Centripetal acceleration (a_c) is the acceleration directed towards the center of the circular path, calculated using the formula a_c = v²/r, where v is the linear velocity and r is the radius of the circle.

Front

What is the relationship between linear velocity (v) and angular velocity (ω)?

Back

The relationship is given by the formula v = rω, where r is the radius of the circular path.

Front

What is the formula for centripetal force (F_c)?

Back

Centripetal force (F_c) can be calculated using the formula F_c = m a_c, where m is the mass of the object and a_c is the centripetal acceleration.

Front

What is the unit of centripetal force?

Back

The unit of centripetal force is Newton (N).

Front

What is the difference between centripetal force and centrifugal force?

Back

Centripetal force is the real force that acts on an object moving in a circular path, directed towards the center. Centrifugal force is a fictitious force that appears to act outward on a mass moving in a circular path.

Front

How do you calculate the velocity of an object in uniform circular motion?

Back

Velocity (v) can be calculated using the formula v = 2πr/T, where r is the radius and T is the period.

Front

What is the effect of increasing the radius on the velocity of an object in uniform circular motion?

Back

Increasing the radius while keeping the period constant will increase the linear velocity of the object.