Calculating Tension of Steel Wire in Piano to Tune to Middle C

[angelgurl619]

Homework Statement

A steel wire in a piano has a length of 56.8 cm and a mass of 5.0 g. To what
tension must this wire be stretched in order that the fundamental vibration
correspond to the note of middle C (f = 261.6 Hz)?

Homework Equations

u*(f2L)^2 = F

The Attempt at a Solution

(5g)*(261.6Hz*2*.568m)^2= F
=441572.63?

I'm not sure if that's the right equation or if I substituted my values correctly.

 

[Born2bwire]

First thing to do is check your units.