In circular motion, there is an acceleration present called centripetal acceleration. Centripetal acceleration is directed towards the center of the circular path and is responsible for continuously changing the direction of the velocity vector while the object moves in a circular path.
The magnitude of centripetal acceleration, denoted by "a_c", can be calculated using the following formula:
a_c = (v^2) / r,
where "v" is the magnitude of the tangential velocity and "r" is the radius of the circular path.
It's important to note that centripetal acceleration is always perpendicular to the velocity vector and points towards the center of the circle. This acceleration is required to keep an object in circular motion by continuously changing the direction of the velocity vector without altering its magnitude.
Regarding the uniformity of centripetal acceleration, in most cases, the magnitude of centripetal acceleration remains constant throughout the circular path if the speed of the object remains constant. However, if the speed changes, the centripetal acceleration will vary accordingly. So, in general, the centripetal acceleration in circular motion can be either uniform or non-uniform depending on the circumstances of the motion.