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Pendulum period calculator
Find the period of a simple pendulum from its length. Enter the length in meters and get the swing time in seconds and the frequency in hertz, for Earth or another planet. Free, and it runs in your browser.
How to calculate a pendulum period
- 1Enter the length of the pendulum in meters
- 2Pick the gravity: Earth, Moon, Mars and more
- 3Read the period and the frequency
- The time of one full swing and its frequency.
What you get
- Period and frequency.One full swing in seconds, and swings per second in Hz.
- Any planet.Choose the gravity of Earth, the Moon, Mars, Jupiter and more.
- Nothing is uploaded.The numbers are worked out in your browser and not sent anywhere.
What you can do
- Calculate the period with T = 2π√(L / g) from the length alone.
- See the frequency f = 1 / T next to it.
- Compare how a clock pendulum would swing on the Moon or on Mars.
- Starts with a 1 m pendulum on Earth, which takes about 2 seconds per swing.
Good to know
- The result is for a simple pendulum: a small weight on a light string, swinging through a small angle.
- The mass of the weight does not change the period, so there is no mass field.
- The length is measured from the pivot to the center of the weight and must be above zero.
- "Per full swing" means there and back, not one way.
Questions
What is the formula for the period of a pendulum?
T = 2π√(L / g), with L the length in meters and g the gravity in m/s².
Does the mass change the swing time?
No. Only the length and the gravity count.
How long must a pendulum be for a one second swing?
About 0.25 m for a full swing of one second. A pendulum of about 1 m takes about 2 seconds.
Does the swing angle matter?
The formula assumes small angles. For large swings the real period is a little longer than the result.