When a drop of wax falls down on one side, the candle looses its balance and preponderates to the other side. There the flame grazes the candle, so that a drop of wax falls down also on this side. Candle looses its balance again and preponderates back again. So the candle swings until it runs short. This is physics experiment for science project.
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Activities with fire or heat should be done only under close adult supervision or as a teacher demonstration.
When the candle is lighted at both ends, the end tilting downward will burn wax away more rapidly and become lighter. When it tilts up, the other end will be down, and it will burn wax away more rapidly. As this process continues to reserve, the candle will rock back and forth, often quite vigorously.