When he swings a rubber bung around his head on a string, the centripetal force is caused by the tension in the string.
When an object travels in circular path, a force which makes an object to continue to move in circular motion is the centripetal force which is directed towards the center of the path.
Thus, When he swings a rubber bung around his head on a string, the tension force is developed in the string which is in turn balanced by the centripetal force.
Thus, the centripetal force is caused by the tension in the string.
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