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Sound intensity of Two sounds

  1. Apr 27, 2012 #1
    1. The problem statement, all variables and given/known data

    Sound 1 has an intensity of 39.0 W/m^2. Sound 2 has an intensity level that is 2.5 dB greater than the intensity level of sound 1. What is the intensity of sound 2?

    2. Relevant equations

    I=energy/area*time
    β=(10dB) logI/Io
    Io=10^-12 W/m^2

    3. The attempt at a solution

    Intenisty 1= 39=energy/area*time
    β for the second sound= 339.776
    Using this i plugged in
    339.776=(10dB) logI/Io
    33.977=logI/Io
    9.49*10^33=I/Io
    and found I=9.5*10^21 but it is saying this is incorrect
     
  2. jcsd
  3. Apr 27, 2012 #2

    collinsmark

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    Gold Member

    I'm not following your logic on that. :uhh:

    I think you might be making this problem harder than it is. When the problem statement says, "Sound 2 has an intensity level that is 2.5 dB greater than the intensity level of sound 1" that means,

    [tex] 2.5 \ \mathrm{dB} = 10 \ \log \frac{I_2}{I_1} [/tex]
    where I1 is given as 39.0 W/m2. Solve for I2. :wink:
     
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