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Homework Help: Find the temperature of air given frequency and wavelength?

  1. Jan 21, 2010 #1
    1. The problem statement, all variables and given/known data
    A sound wave has a frequency of 722 hz and a wavelength of .54 m. What is the temperature of the air? Assume the velocity of sound at 0 degrees Celsius is 327 m/s.


    2. Relevant equations
    V= lambda * frequency


    3. The attempt at a solution
    I have no idea what to from there? The velocity of the wave is 389.88 m/s. Thanks in advance.
     
  2. jcsd
  3. Jan 21, 2010 #2

    rl.bhat

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    Can you find out the relation between temperature and the velocity of the sound in the air?
     
  4. Jan 21, 2010 #3
    How do I know what the velocity of the sound in the air is?
     
  5. Jan 21, 2010 #4

    rl.bhat

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    It is given. 327 m/s at zero degree Celsius.
     
  6. Jan 21, 2010 #5
    So would you set up a proportion?

    327/389=0/x

    But you can't do that because x would be zero.
     
  7. Jan 22, 2010 #6

    rl.bhat

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    In this problem temperature must be in absolute scale.
    So V/Vo = Sqrt(T/To)
     
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