Centripetal force is the force required to make a body move in a circular direction. A body on which no force is acting will move in a straight line. The body moves in a circular path only when there is a force acting towards the center.
This force is given by F = m*v^2 / r, where m is the mass of the object, v is the velocity of the object and r is the radius of the circular path it is moving in.
The acceleration induced by the centripetal force is known as centripetal acceleration. It is directed towards the center of the circular path the object is moving in. Centripetal acceleration is given as v^2 / r.