A steel wire in a piano has a length of 0.6000 m and a mass of 5.100*10^-3 kg. To what tension must this wire be stretched in order 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 where g=9.81m/s2, fc=261.6 Hz
I honestly can not figure out where to begin. I believe this is a standing waves problem so I'm almost positive that it should use the following equation, but I can not figure out a proper derivative or manipulation of the equation to find a seemingly correct answer.
fn= (n/2L)*√(F/μ) where n=the number of harmonic (1,2,3...)