Z = impedance, T = tension (transverse force), v = velocity, ρ = density
Comments
The impedance of a transverse wave on a string is equal to the force divided by the velocity. Since the tension T = ρc2, the impedance is also equal to the density times the velocity
References
The Physics of Vibrations and Waves , H J Pain, John Wiley & Sons, 3 rd edition, 1983