How it works
Use small angle simple pendulum with the units stated beside the fields. This form solves for length; enter the known quantities in Period, Local gravitational acceleration.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Period | 4.71238898038469 s | Formula symbol: T. Required unit: s. Must be greater than zero. |
| Local gravitational acceleration | 7.5 m/s² | Formula symbol: g. Required unit: m/s². Must be greater than zero. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Period
- 4.71238898038469 s
- Local gravitational acceleration
- 7.5 m/s²
Complete example results
- Length
- 4.21875 m
Reading the result
The result solves for length from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the length result?
This model uses positive magnitudes. Assume small amplitude, a point mass and massless string; damping and large-angle corrections are excluded.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: openstax.org