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Calculate Room Temperature

  1. May 29, 2015 #1
    1. The problem statement, all variables and given/known data
    Calculate the room temperature by using the speed of sound formula and using the given values.

    Known Data:
    Frequency = 480 Hz
    2nd Resonant length = 54cm or 0.54m

    2. Relevant equations
    v = 331 + (0.60)T
    T = (v - 331)/0.60

    v = fλ

    (Open-Closed air column)
    L = (3/4)λ
    3. The attempt at a solution

    (1) v = fλ
    = 480Hz (0.53m)
    = 254.4m/s

    (2) T = (254.4m/s) - 331 / 0.60
    = -127.6 degrees celcius


    I highly doubt the temperature is this low. I realized that I used the wavelength as the resonant length so, I decided to solve for λ using the resonant length. I did the same process again but using the calculated λ but it didnt work either.
     
  2. jcsd
  3. May 29, 2015 #2

    haruspex

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    I don't understand how you got 0.53m. You don't seem to have used the ##L=(3/4)\lambda## formula.
     
  4. May 29, 2015 #3
    Sorry, forgot to give a little context. I will remember next time.

    This is a follow up question for an experiment that I did. Using an open-closed air column, I found that the second resonant length was 0.53m
     
  5. May 29, 2015 #4

    haruspex

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    OK, but that's L, not ##\lambda##. You plugged that value into your ##v=f\lambda## formula.
     
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