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Science Calculators

Pendulum Period Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
m
m/s²
Verified formula Private

Period

2.0061

Frequency
0.4985

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Pendulum Period Calculator

The Pendulum Period Calculator works out your period, along with 1 related figure in an instant. Enter pendulum length and gravity and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the pendulum length.
  2. Enter the gravity.
  3. Read off your period, together with frequency — the calculator updates automatically, with no button to press.

Formula

The Pendulum Period Calculator uses the formula:

Period = 2 × 3.141592653589793 × √(Pendulum length ÷ Gravity)

Worked example

For example, with pendulum length of 1 m and gravity of 9.81 m/s², the period is 2.0061.

Inputs used
Pendulum length 1 m
Gravity 9.81 m/s²
Results
Period 2.0061
Frequency 0.4985

Results are estimates for educational use, not professional advice.

Frequently asked questions

It is the time for one full swing: T = 2π√(L ÷ g). A 1 m pendulum on Earth has a period of about 2 seconds.

No. For a simple pendulum with small swings, the period depends only on length and gravity, not mass.

The period grows with the square root of length, so a four-times-longer pendulum swings twice as slowly.

The formula assumes small angles. For wide swings the real period is slightly longer.

The Pendulum Period Calculator uses the formula: Period = 2 × 3.141592653589793 × √(Pendulum length ÷ Gravity). For example, with pendulum length of 1 m and gravity of 9.81 m/s², the period is 2.0061.

Enter the pendulum length. Enter the gravity. Read off your period, together with frequency — the calculator updates automatically, with no button to press.

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