I am currently researching the relationship between the volume of water in an object, and the frequency at which resonance occurs.
I have conducted an experiment in which I added volumes of water, and I found that with an increase in the volume of water, the resonant frequency decreases. This is what I had expected, as a result of increased damping by the water, but I have yet to find an explanation for this in terms of a formula. Could someone here help? I have so far found that in an underdamped system
However, I am not sure if this is the correct formula to apply in this case as I have also found others.