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ELI5 Yahaaa

A reliable swing

Why Does a Pendulum Keep Time?

A pendulum's swing takes the same time whether it swings wide or narrow.

Swings out Slows andstops Swings back Slows andstopsSame time,every
Wide or narrow, one swing takes the same time.
  1. Step 1 of 5

    A pendulum is a weight on a string.

    Pulled asideGravity pulls it back to the middleIts speedcarries itpast

    Pull it aside and let go. Gravity pulls it back toward the middle, it overshoots, and it swings out the other side. Then it repeats.

  2. Step 2 of 5

    Energy swaps back and forth.

    At the top High and stopped:stored energyAt the bottom Low and fastest: motionenergy

    At the top of a swing it is high and still — all stored energy. At the bottom it is low and fast — all movement energy. Then it trades back.

  3. Step 3 of 5

    Bigger swings are not slower swings.

    Wide swing Longer path, but fasterNarrow swing Shorter path, butslower

    Pull it further and it travels a longer arc — but it also moves faster. The two effects cancel, so the time per swing stays the same.

  4. Step 4 of 5

    Only the length matters.

    1 metre string1 second perswing25 cm stringhalf a second4 metre string2 seconds

    The swing time depends on the string's length and nothing else. A heavier bob does not change it. A one-metre pendulum takes almost exactly one second each way.

  5. Step 5 of 5

    That reliability made accurate clocks possible.

    Before pendulum clocks Lost ~15 minutes a dayAfter 1656 Lost ~15 seconds a day

    Before pendulums, the best clocks lost 15 minutes a day. After Huygens used one in 1656, clocks lost about 15 seconds a day.

    Galileo spotted this as a teenager, reportedly by timing a swinging cathedral lamp against his own pulse.

The short version

A pendulum keeps time because its swing period depends only on its length, not how far it swings.

Try it yourself

Tie a key to a 25 cm thread and swing it. Now try a much wider swing. Count — the rhythm does not change.

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