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`f = 1/(2pi)sqrt((9.80665 m/s^2) / L )`

Enter a value for all fields

The **Frequency of a Pendulum** calculator computes the frequency (**ƒ**) of a simple pendulum based on the length (**L**) of the pendulum.

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

- (
**L**) Length of Pendulum

**Frequency (ƒ):** The calculator returns the frequency of the pendulum per minute. However, this can be automatically converted to other frequency units via the pull-down menu.

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

This equation is derived from the general form of the equation of **f=ω/(2π) **where **ω**=`sqrt(g/L)`. After substituting for **ω**, we get the equation as given above.

- Angular Frequency of Pendulum [version designed specifically for problems involving the Earth's gravity approximation at sea level]
- Angular Frequency of Pendulum (Any gravity)
- Period 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 13.33