When to use this calculator
Pendulum length runs from the pivot to the mass centre. Large swings require a correction to this approximation.
Explore the waves & oscillation calculators for other questions in this topic. For a related calculation, use the Spring Oscillation Period Calculator: Estimate oscillation period for an ideal mass on a linear spring.
PUTTING IT INTO PRACTICE
Pendulum Period: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Pendulum length (m) | 1 |
| Gravity (m/s²) | 9.869604 |
| Result | 2 seconds |
- Check the input labels and enter the example values above.
- Apply the relationship: Period = 2π√(length/gravity).
- The result is 2 seconds, rounded for display.
How to interpret your result
Assumes small angle, negligible drag and a point mass on a massless support.
A period measures one complete cycle and frequency counts cycles per second. Wave speed depends on the medium. Simple pendulum and spring models assume conditions such as small oscillations or linear restoring forces.
Frequently asked questions
How are period and frequency related?
They are reciprocals when measured in compatible units: frequency in hertz equals one divided by period in seconds.
When is the pendulum period calculator useful?
Pendulum length runs from the pivot to the mass centre. Large swings require a correction to this approximation.
How do I use the pendulum period calculator?
Enter pendulum length (m), gravity (m/s²). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Period = 2π√(length/gravity).
What should I check before using the result?
Assumes small angle, negligible drag and a point mass on a massless support.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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