`omega = sqrt(9.80665 m/s^2 / L )`

Enter a value for all fields

The Angular Frequency of a Pendulum calculator computes the angular frequency based on the length of the pendulum (L)  and the acceleration due to gravity (g).

INSTRUCTIONS: Choose the preferred units and enter the following:

• (L)  This is the length of the pendulum.

Angular Frequency: The calculator returns the angular frequency in radians.

The Math / Science

This equation calculates the angular frequency of a simple pendulum with a small amplitude.

This comes from the equation ω=`sqrt(k/m)` when `k = (m*g)/L`. After substituting this in, we get the resulting equation of ω=`sqrt(g/L)`

See also

• Angular Frequency of Pendulum (Any gravity)
• Frequency of Pendulum
• Period of Pendulum
• Restoring Force on Pendulum
• Restoring Torque on Physical Pendulum

References

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 13.32