# Whats the phrequency of a pendulum and a balance?

1. Nov 10, 2005

### eosphorus

i want to build a pendulum in resonace with a balance to see what happens

so anybody knows whats the swinging prequency of a balance depending on his arm and that of a pendulum that i dont remember know

2. Nov 10, 2005

### Tide

The angular frequency of a beam balance is

$$\omega = \sqrt {\frac {g}{\alpha L}}$$

where L is the distance from the pivot point to the center of mass of the balance and $\alpha$ is a factor related to the moment of inertia of the balance which depends on the particular geometry of your device.