Pendulum Period Calculator
The period of a simple pendulum is the time for one complete oscillation (forward and back). For small angles, T = 2π√(L/g), where L is length and g is gravitational acceleration. Remarkably, period does not depend on the mass of the bob.
- 1Period T = 2π × √(L / g)
- 2L = length of pendulum in metres
- 3g = 9.81 m/s² (Earth surface)
- 4Frequency f = 1 / T oscillations per second
Pendulum length 1m on Earth=T = 2.006 seconds2π × √(1/9.81) = 2.006s
| Length | Period (Earth) |
|---|---|
| 0.25m | 1.00s |
| 0.50m | 1.42s |
| 1.00m | 2.01s |
| 2.00m | 2.84s |
| 4.00m | 4.01s |
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Fun Fact
Christiaan Huygens invented the pendulum clock in 1656, dramatically improving timekeeping from minutes-per-day error to seconds-per-day — enabling accurate navigation and scientific measurement.
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