1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook