Pendulum Calculator
Calculate the period and frequency of a simple pendulum from its length and local gravitational acceleration using T = 2π√(L/g).
Inputs
ft
m/s²
Results
Period
2.01 s
Frequency
0.5 Hz
Angular Frequency3.13 rad/s
How to Use This Calculator
- Enter Pendulum Length and Gravitational Acceleration.
- Review Period (s) and Frequency (Hz).
- Use Angular Frequency (rad/s) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Gravitational Acceleration
| Gravitational Acceleration | Period | Frequency |
|---|---|---|
| 10 | 1.99 s | 0.5 Hz |
| 35 | 1.06 s | 0.94 Hz |
| 65 | 0.78 s | 1.28 Hz |
| 90 | 0.66 s | 1.51 Hz |
What each input means
- Pendulum Length
- Length of the pendulum from the pivot to the center of mass.
- Gravitational Acceleration
- Local gravitational acceleration. Earth surface ≈ 9.81 m/s², Moon ≈ 1.62 m/s².
How this is calculated
Worked example, using the default values
- Identify Input ParametersPendulum Length = 1, Gravitational Acceleration = 9.81 = 2 input(s) provided
- Calculate PeriodPeriod = 22.0061 = 2.0061
- Calculate FrequencyFrequency0.4985 = 0.4985
- Calculate Angular FrequencyAngular Frequency3.132 = 3.132
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