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You have a centripetal force whenever you have any force that attracts an object towards the center of its circular movement. In some cases, the centripetal force is what keeps an otherwise free object in a circular (or elliptical) trajectory in the first place - like when the Sun attracts the planets. In other cases - such as in a flywheel - the outer parts pull outwards (because of their inertia), so, by Newton's Third Law, the center of the movement pulls inward, providing the centripetal force. (If the outward pull is too strong, the objects that moved in a circular trajectory will break away.)
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