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Fundamental Frequency

  1. Feb 11, 2012 #1
    1. The problem statement, all variables and given/known data

    A 90 cm long steel string with a linear density of 1.1g/m is under 200N tension. It is plucked and vibrates at its fundamental frequency. What is the wavelength of the sound wave that reaches your ear in a 20 degree C room?

    2. Relevant equations

    f = 1/2L * sqrt T/mu
    v = f*gamma

    3. The attempt at a solution
    1/(2*0.9) * sqrt (200/1.1) = 7.49Hz
    v = f*gamma so v/f = gamma; 343m/s/7.49 Hz = 45.78m
    but this answer is wrong! Where did I go wrong?
  2. jcsd
  3. Feb 11, 2012 #2


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    Gold Member

    metric units?
  4. Feb 11, 2012 #3
    yes, all metric
  5. Feb 11, 2012 #4


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    what is the metric unit for mass?
  6. Feb 12, 2012 #5
    do I need to convert grams to kilograms?
  7. Feb 12, 2012 #6
    yup. thanks!
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