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`L = g*(T/(2pi))^2`

Enter a value for all fields

The **Length of a Pendulum** calculator computes the length (L) of a simple pendulum based on the period (**T**) of the pendulum arm and the acceleration due to gravity (g).

**INSTRUCTIONS:** Choose units and enter the following:

- (
**T**) This is the period of the pendulum - (
**g**) This is the acceleration due to gravity.

**Length(L):** The calculator returns the length in meters. However this can be automatically converted to compatible units via the pull-down menu.

The formula is accurate given that the amplitude is small. The formula uses the acceleration due to gravity (9.80665 m/s²).

The formula for the length of a simple pendulum is:

`L = g* (T/(2π))^2`

where:

- L is the Length of the pendulum
- T is the period of the pendulum
- g is the acceleration due to gravity

- Acceleration Due to Gravity
- Angular Frequency of Pendulum
- Period of a Pendulum
- Angular Frequency of Pendulum (Any gravity)
- Frequency of Pendulum
- Restoring Force on Pendulum
- Restoring Torque on Physical Pendulum

Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 437, eq 13.34