Whats the phrequency of a pendulum and a balance?

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

so anybody knows what's the swinging prequency of a balance depending on his arm and that of a pendulum that i don't remember know
 
on Phys.org
The angular frequency of a beam balance is

[tex]\omega = \sqrt {\frac {g}{\alpha L}}[/tex]

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