Question

why centripetal force is perpendicular to direction of velocity

Answer 1

It's generally because so as to make both the resulatant in a circular path

Answer 2

As the centripetal force acts upon an object moving in a circle at constant speed, the force always acts inward as the velocity of the object is directed tangent to the circle. This would mean that the force is always directed perpendicular to the direction that the object is being displaced.

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