# Illustration Centripetal acceleration on a body in a circular motion

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On a body moving with a constant velocity $$\boldsymbol{v}$$ on a circular path, the centripetal force acts to the center of the circle. According to Newton's axiom $$\boldsymbol{F} = m \boldsymbol{a}$$, the centripetal acceleration $$\boldsymbol{a}$$ also points in the same direction as the force.

The velocity of the body is tangential to the circular motion, i.e. perpendicular to the centripetal acceleration.