Pendulum Period Calculator
A 1 m simple pendulum has a period of 2.00641 s, from T = 2π√(L/g); a “seconds pendulum” that ticks once per second each way is about 0.994 m long.
2.00640929258904 s
Full answer, then cut to fewer decimals (not rounded):
- 2.00640929258904 s
- 2.0064092925890 s
- 2.006409292589 s
- 2.00640929258 s
- 2.0064092925 s
- 2.006409292 s
- 2.00640929 s
- 2.0064092 s
- 2.006409 s
- 2.00640 s
- 2.0064 s
- 2.006 s
- 2.00 s
- 2.0 s
- In ms
- 2006.409293 ms
- In min
- 0.03344015488 min
- In h
- 0.0005573359146 h
- Frequency 1/T
- 0.4984027953 Hz
- Swings per minute
- 29.90416772
Step-by-step solution
- T = 2π × √(L ÷ g)
- T = 2π × √(1 ÷ 9.80665)
- T = 2.006409293 s
Pendulum Period Formula
T = 2π √(L / g)
T period (one full swing there and back), L length to the bob’s centre, g gravitational acceleration
Worked Example
A simple pendulum 1 m long under standard gravity:
- T = 2π × √(L ÷ g)
- T = 2π × √(1 ÷ 9.80665)
- T = 2.006409293 s
In min: 0.03344015488 min · In h: 0.0005573359146 h · Frequency 1/T: 0.4984027953 Hz · Swings per minute: 29.90416772
Grandfather clocks
A pendulum clock is adjusted by moving the bob: lengthening L by 0.1 % lengthens T by 0.05 %, which is about 43 seconds a day.
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Frequently asked questions
Does the mass or the swing size change the period?
Not the mass. The amplitude matters slightly: the formula is exact only for small swings (under about 15°). At 30° the true period is about 1.7 % longer.
How do I measure g with a pendulum?
Time 20 swings, divide to get T, measure L, then choose “gravity” and enter both. Timing many swings reduces reaction-time error.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Pendulum Period Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/pendulum-period-calculator/
IEEE
Scientific Converters, "Pendulum Period Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/pendulum-period-calculator/