What is the difference between centripetal force and centripetal acceleration?

The centripetal force is the external force required to make a body follow a circular path at constant speed (speed being the magnitude of velocity). The force is directed inward, toward the center of the circle or "oriented toward the axis of rotation"; force which is directed outward is centrifugal force. Hence centripetal force is a force requirement, not a particular kind of force.

Any force (gravitational, electromagnetic, etc.) can act as a centripetal force. The term centripetal force comes from the Latin words centrum ("center") and petere ("tend towards", "aim at."), and can also be derived from Isaac Newton's original definitions described in Philosophiae Naturalis Principia Mathematica. The centripetal force always acts perpendicular to the direction of motion of the body. In the case of an object that moves along a circular arc with a changing speed, the net force on the body may be decomposed into a perpendicular component that changes the direction of motion (the ... more.

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