Whats the phrequency of a pendulum and a balance?

[eosphorus]

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

 

[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.

 

[charng]

The frequency of a pendulum and a balance can vary depending on the length of the pendulum and the size and mass of the balance. The frequency of a pendulum is determined by the length of the pendulum and the acceleration due to gravity. The frequency of a balance, on the other hand, is determined by the stiffness of the balance arm and the weight placed on it. It is difficult to determine the exact frequency without knowing these specific details.

In order to build a pendulum in resonance with a balance, it would be important to consider the natural frequencies of both objects and ensure that they are in sync. This may require adjusting the length of the pendulum or the weight on the balance arm.

As for the swinging frequency of a balance depending on the arm, this can vary depending on the specific design and materials used. It is recommended to consult the manufacturer or conduct experiments to determine the specific frequency.

Overall, it would be an interesting experiment to see the interaction between a pendulum and a balance in resonance. It may also be helpful to consult with other scientists or conduct further research to better understand the relationship between these two objects.