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Calculation Machine

Pendulum Period Calculator

Period of a simple pendulum from its length.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Period
2.006 s
Frequency
0.498 Hz
Oscillations per minute
29.9

Quick answer

Period T = 2 x pi x sqrt(L/g) for small swing angles.

The formula

T = 2 pi sqrt(L/g)

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Pendulum length1 m
  • Gravity9.81 m/s²

Result

  • Period2.006 s
  • Frequency0.498 Hz
  • Oscillations per minute29.9

How to use the Pendulum Period Calculator

  1. 1Enter the pendulum length from pivot to the centre of the bob.
  2. 2Adjust gravity if not on Earth.
  3. 3Read the period, frequency and swings per minute.

Frequently asked questions

Does the mass of the bob matter?

No — the period of a simple pendulum depends only on length and gravity, not mass.

Is this accurate for wide swings?

The small-angle formula is accurate below about 15 degrees; larger swings take slightly longer.

About this calculator