In circular motion with constant speed, the velocity vector changes direction but its magnitude remains constant, resulting in constant velocity.

The acceleration in circular motion is centripetal acceleration, which is always directed toward the center of the circle.

Centripetal acceleration is given by the formula a_c = v^2 / r, where v is the tangential velocity and r is the radius of the circular path.

Centripetal force is the force that acts on an object in circular motion, directed toward the center of the circle, keeping it moving in that path.

Centripetal force is given by the formula F_c = m * v^2 / r, where m is the mass of the object, v is the tangential velocity, and r is the radius of the circular path.

According to the formula a_c = v^2 / r, if the radius (r) is doubled while the velocity (v) remains constant, the centripetal acceleration (a_c) becomes halved.

At the highest point of a vertical circular motion, the centripetal force is provided by the normal force, which is maximum at this point.

The period of circular motion is the time taken for the object to complete one full revolution around the circular path.

The frequency of circular motion is the number of revolutions completed per second.

The period and frequency of circular motion are inversely proportional, meaning T = 1 / f.

In a horizontal circular motion, the normal force is greater than the weight of the object to provide the necessary centripetal force.

According to the formula F_c = m * v^2 / r, if the tangential velocity (v) is doubled, the centripetal force (F_c) becomes quadrupled.

The SI unit of angular velocity is radians per second (rad/s).

Angular velocity (ω) is related to tangential velocity (v) and radius (r) by the formula ω = v / r.

In uniform circular motion, the angular acceleration is zero because the angular velocity is constant.