What is the value of tangential acceleration in U.C.M?

In uniform circular motion (UCM), an object moves in a circular path at a constant speed. While the magnitude of the velocity remains constant, the direction of the velocity vector changes continuously, which means the object is undergoing acceleration. This acceleration is called centripetal acceleration.

The value of the tangential acceleration in UCM is zero. Tangential acceleration represents changes in the magnitude of the velocity, and in UCM, the speed (magnitude of velocity) remains constant. Therefore, there is no change in speed, and the tangential acceleration is zero.

The only acceleration present in UCM is the centripetal acceleration, which is directed toward the center of the circular path and is responsible for keeping the object moving in a circle. The magnitude of centripetal acceleration can be calculated using the formula:

a_c = (v^2) / r

Where:

"a_c" is the centripetal acceleration.
"v" is the constant speed of the object.
"r" is the radius of the circular path.
So, in UCM, the tangential acceleration is zero, and the centripetal acceleration is the only acceleration present.