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!

Sound and wave homework

  1. Jun 9, 2014 #1
    1. The problem statement, all variables and given/known data
    A tuned violin, with strings of 31.6 cm each, is placed in front of a speaker. When varying the speakers frequency between 500 and 1500 Hz, it was discovered that a certain string only vibrated at 880 Hz and 1320 Hz. Determine the velocity of the wave in this string.

    2. Relevant equations

    3. The attempt at a solution
    The frequencies has to be overtones or the fundamental tone f_0. That gives nf_0=880 Hz and (n+1)f_0=1320 Hz, so n=2 and f_0=440 Hz. When f=f_0 the string has two nodes so v=f_0*2l (l=0.316m). v=278.08. But the key says 275 m/s, did I do something wrong or have they rounded it weirdly? Thanks
    Last edited: Jun 9, 2014
  2. jcsd
  3. Jun 9, 2014 #2
    I don't see anything wrong in your solution. It most probably is a case of rounding off weirdly.
    Last edited: Jun 9, 2014
  4. Jun 10, 2014 #3
    Yes, has to be so. Thanks :)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Sound wave homework Date
I Need to Calculate the Speed of Sound for a Lab Feb 26, 2018
Spoke card oscillations Nov 28, 2017
How many places of maximum loudness? Sep 27, 2017
Power in a Sound Wave Jun 28, 2017
Sound Waves in Different Mediums May 20, 2017