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Homework Help: Standing Wave?

  1. May 2, 2007 #1
    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

    v=2Lf1= (.7000m)(261.6Hz)= 183.12 m/s
  2. jcsd
  3. May 2, 2007 #2


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    Homework Helper

    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.
  4. May 2, 2007 #3
    You know the speed required right? And the speed of sound in a string is given by [tex]v=\sqrt{\frac{T}{\mu}}[/tex] where [tex]\mu[/tex] is the mass per unit length.
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