When a body is moving or following in a circular path then it is called circular motion. As the motion is happening in a circular path.
So now we can say that the motion of a body with constant speed in a circular way is termed uniform circular motion.
For motion, a particle must have some acceleration acting toward the center which will help the body to move in a circle.
At every given instant, the acceleration of a particle is perpendicular to the velocity.
There is only a change in direction of velocity but not the magnitude.
Therefore, this motion is a uniform circular motion.
Example: motion of electrons around its nucleus, the motion of blades of the windmills, etc.
Now, the tangential and radial or normal components of a particle's acceleration in circular motion are different. The tangential acceleration must be 0 since the particle's speed in the tangential direction remains constant in a uniform circular motion.
Step2: Formula for centripetal acceleration
Because this acceleration is continually directed towards the circle's center, its direction is always shifting. As a result, the acceleration isn't consistent.
In addition, the velocity of the particle is always along the tangent of the circle. As a result, its course is constantly shifting. As a result, the velocity is not constant.
Demonstrating with the help of a diagram
Hence, for a uniform circular motion, velocity is along the tangent, and acceleration is towards the center of the circle.