How do you find the mass of a vibrating metal wire on a piano?

[bobby3280]

Homework Statement

The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.4 Hz. What is the total mass of the wire? ( in kg)

Homework Equations

The only relevant equation I could find is v = square root of ( FL / m )
or the linear mass density equations

The Attempt at a Solution

I move m to one side leaving m = FL / v^2 and tried velocity of sound 343 m/s but no luck.

This seems to be the only viable equation to me and I either don't know how to convert 27.4 Hz to velocity or am completely lost.

Thanks for any help

 

[OlderDan]

What equations do you have for the frequency of a string under tension?

 

[bobby3280]

Thanks found the equation and answer.