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Finding speed of transverse waves on a guitar string

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The D note (at a frequency of 588 ) from a trumpet causes a guitar string to vibrate in its second overtone with large amplitude. The vibrating portion of the guitar string has a length of 64.0 .

What is the speed of transverse waves on the guitar string?

The way I've been trying to accomplish this problem is by saying tat the frequency equation of the string is (3*Velocity of the string)/(2*.64m) = to the frequency of 588hz made this assumption because of resonance giving a velocity of 251m/s but I think I am wrong to assume it =the frequency of 588 hz but I don't know what to make it equivelent to. The answer may be looking for an expression rather than a numerical answer but I am not sure....I'm stuck

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The D note (at a frequency of 588 ) from a trumpet causes a guitar string to vibrate in its ...

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The speed of transverse waves on a guitar string is found.

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