Relationship Between Tension And Resonant Frequency.

[daaaannn.]

1. I have to find out the relationship between tension and resonant frequency in a length of rubber, using stationary waves.



2. I know there is an equation for the resonant frequency in a length of string, given as f= 1/2L * sqrt T/μ . I am however imagining that as this is a rubber band, therefore much more stretch, that the mass per unit length changes considerably. Anyone have any ideas about it?

 

[24hourtutor]

Yes, you are right that the mass per length would change if you chose to stretch the rubber band significantly. But this is physics, and that would be a hard problem. I think it is safe to assume that you are still in the "small amplitude oscillation" realm, so you can assume that your m/L is constant.

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