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Pendulum Period Calculator

〰 Oscillations & waves. Use the Pendulum period formula to find period, length, g: pick the value you want, type the others, and the answer updates as you go.

T=2πLgT = 2\pi\sqrt{\dfrac{L}{g}}

For small swings (under about 15°). The mass doesn’t matter.

Period2.0061 s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Periods
Lengthm
gm/s²

Worked example

Find the period when Length = 1 m, g = 9.81 m/s².

Using T = 2π√(L/g): Period = 2.0061 s.

Frequently asked questions

What is the formula for Pendulum period?

T = 2π√(L/g). For small swings (under about 15°). The mass doesn’t matter.

What do the letters stand for, and what units are used?

Period in s, Length in m, g in m/s².

How do you calculate period?

Put the values into T = 2π√(L/g). For example, with Length = 1 m, g = 9.81 m/s², period = 2.0061 s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (period, length, g) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas See it in the Pendulum Lab simulation