Philosophy 2073F/G Lecture Notes - If And Only If

(a) S


(b) O


(c) H


(d) C


(e) a halogen


(f) N

A steel wire in a piano has a length of 0.6000 m and a mass of5.100*10^-3 kg. To what tension must this wire be stretched inorder that the fundamental vibration correspond to middle C (fC =261.6 Hz on the chromatic musical scale)?

F=?, L=0.6000 m, m=5.100*10^-3 kg, n=0.50031N whereg=9.81m/s², f_c=261.6 Hz

I honestly can not figure out where to begin. I believe this isa standing waves problem so I'm almost positive that it should usethe following equation, but I can not figure out a properderivative or manipulation of the equation to find a seeminglycorrect answer.

f_n= (n/2L)*√(F/μ) where n=the number of harmonic(1,2,3...)