Homework Help: Standing Wave?

1. May 2, 2007

Machine

1. The problem statement, all variables and given/known data

Question: Standing Waves:

A steel wire in a piano has a length of 0.7000m and a mass of 4.300 x 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)?

2. Relevant equations

f1=v/wave1 = v/2L

3. The attempt at a solution

f1=v/2L
v=2Lf1= (.7000m)(261.6Hz)= 183.12 m/s

2. May 2, 2007

mukundpa

Can you differentiate between the two velocities?

(1) Velocity of sound wave in air which is produced by vibrating wire.

(2) Velocity of transverse wave in a stretched string.

3. May 2, 2007

chaoseverlasting

You know the speed required right? And the speed of sound in a string is given by $$v=\sqrt{\frac{T}{\mu}}$$ where $$\mu$$ is the mass per unit length.