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Snake Pendulum Patterns in these swinging balls appear, disappear, and reappear. Try this: Lift the red handle all the way up and quickly lower it to start the balls swinging. Watch the swinging balls for a while. They’ll move in and out of several interesting patterns. What’s going on? Each of these swinging balls is a pendulum that moves back and forth at a slightly different rate, determined by the length of string supporting it. The longest pendulum swings back and forth exactly 15 times in 30 seconds. Its neighbor swings 16 times in 30 seconds, the next 17, and so on down to the shortest one, which swings exactly 24 times in 30 seconds. Since every pendulum completes an exact number of swings in 30 seconds, they all come back together every 30 seconds. After 15 seconds, the even-numbered pendulums have completed an exact number of swings and are back where they started. The odd-numbered pendulums are exactly halfway through one of their swings and are opposite where they started. The result is two opposing lines of pendulums that seem to dance with each other. san francisco w w w. e x p l o r a t o r i u m . e d u ©2002

Patterns in these swinging balls appear, disappear, and ......Snake Pendulum Patterns in these swinging balls appear, disappear, and reappear. Try this: •Lift the red handle all

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  • Snake PendulumPatterns in these swinging balls appear, disappear, and reappear.

    Try this:

    •Lift the red handle all the way up and quicklylower it to start the balls swinging.

    •Watch the swinging balls for a while. They’llmove in and out of several interesting patterns.

    What’s going on?Each of these swinging balls is a pendulum that movesback and forth at a slightly different rate, determined bythe length of string supporting it.

    The longest pendulum swings back and forth exactly15 times in 30 seconds. Its neighbor swings 16 times in30 seconds, the next 17, and so on down to the shortestone, which swings exactly 24 times in 30 seconds.Since every pendulum completes an exact number ofswings in 30 seconds, they all come back together every30 seconds.

    After 15 seconds, the even-numbered pendulums havecompleted an exact number of swings and are backwhere they started. The odd-numbered pendulums areexactly halfway through one of their swings and areopposite where they started. The result is two opposinglines of pendulums that seem to dance with each other.

    san francisco

    w w w. e x p l o r a t o r i u m . e d u ©2002