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There is no outward force of rotational motion. It is a force that is applied inward, towards the center of the circle that the object is traveling around. This is called centripetal force.

The perceived outward force, also known as centrifugal force, is actually a reaction force to the inward centripetal force, and is a consequence of Newton's third law of motion - "To every force, there is an equal and opposite reaction force."

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