Pendulum Period Calculator
Period of a simple pendulum from its length.
Enter 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.
T = 2 pi sqrt(L/g)
How to use the Pendulum Period Calculator
- 1Enter the pendulum length from pivot to the centre of the bob.
- 2Adjust gravity if not on Earth.
- 3Read the period, frequency and swings per minute.
Worked example
Using the values the calculator loads with:
Inputs
- Pendulum length1 m
- Gravity9.81 m/s²
Results
- Period2.006 s
- Frequency0.498 Hz
- Oscillations per minute29.9
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
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.