Question

A steel wire in a piano has a length of 0.900 m and a mass of 5.800 ✕ 10⁻³ kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (f_C = 261.6 Hz on the chromatic musical scale)?
N

Answer 1

The fundamental frequency in the wire depends upon the speed of sound wave in the the wire and the speed of sound wave in the wire depends on the tension in the wire. so we can say that fundamental frequency in the wire depends on the tension in the wire.

Hence, under tension must this wire be stretched so that the fundamental vibration can occurred at required condition.