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 even though its speed remains constant.

Front

What is the formula for centripetal acceleration?

Back

Centripetal acceleration (a_c) is given by the formula: a_c = v²/r, where v is the tangential speed and r is the radius of the circular path.

Front

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

Back

Tangential speed (v) can be calculated using the formula: v = r * ω, where r is the radius and ω is the angular velocity in radians per second.

Front

What is the relationship between centripetal force and mass in uniform circular motion?

Back

Centripetal force (F_c) is directly proportional to the mass (m) of the object and the centripetal acceleration (a_c): F_c = m * a_c.

Front

What is the direction of centripetal acceleration in uniform circular motion?

Back

Centripetal acceleration always points towards the center of the circular path.

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, perceived in a rotating reference frame.

Front

If an object moves in a circle of radius 2 m at a speed of 4 m/s, what is its centripetal acceleration?

Back

Centripetal acceleration (a_c) = v²/r = (4 m/s)² / (2 m) = 8 m/s².

Front

What is angular velocity?

Back

Angular velocity (ω) is the rate of change of angular displacement and is measured in radians per second.

Front

How does increasing the radius of a circular path affect the centripetal acceleration for a constant speed?

Back

Increasing the radius of the circular path decreases the centripetal acceleration if the speed remains constant, as a_c = v²/r.

Front

What is the formula for calculating the period of an object in uniform circular motion?

Back

The period (T) is the time taken to complete one full revolution and is given by T = 2πr/v.