Consider a vibrating piano string the string is under a, Ask an Expert

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Consider a vibrating piano string. The string is under a tension T, has a length L and diameter d. Consider a second string composed of a different material of the same mass but with a length 1/2 L, diameter 3d and tension 4T. Both strings are vibrating in the fundamental mode.

What is the frequency f' for the second string in terms of the first frequency f?

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