A force that acts on a body moving in a circular path and is directed around the object which the body is moving
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Centripetal force is that which bind you toward the center when
you are tilted at turning.
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A centripetal force is, by definition, a force that makes a body
follow a curved path. So, yes, a centripetal force causes rotation
about a point in space.
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In the case of circular movement, the centripetal force points
towards the center of the circle.
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Centripetal force is a force that keeps an object inwards, in
the case of circular motion or similar.