Finding Amplitude of Air Vibration from Frequency and Intensity

AI Thread Summary
To find the amplitude of air vibrations from the given frequency of 313 Hz and intensity of 1.13 µW/m², relevant formulas involving pressure amplitude and wave properties are needed. The intensity can be expressed in terms of pressure amplitude, but the specific value of pressure amplitude (delta Pm) is unknown, complicating the calculations. The user seeks assistance in rearranging the formulas to isolate the amplitude and is looking for resources to type scientific equations more easily, such as LaTeX. The discussion highlights the need for clarity in using complex formulas and the importance of understanding each variable involved. Overall, the user is seeking guidance on how to effectively approach the problem.
falcon0311
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I'm given two things:

frequency, f = 313 Hz
intensity, I = 1.13 uW/m^2 (microWatts per square meter)

I'm supposed to find the amplitude of the air vibrations caused by this sound.

As always, a push in the right direction is greatly appreciated.
 
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You need a formula; do you have any? Unfortunately the formulas for this stuff are big and complex.
 
1...v( delta Pm )^2
- * ------------------- = I
2...B


I think what I'm seeking is sm, in which case

sm = (delta Pm) / (kB) [k is from (kx - wt)]


Anyone know a program or website that let's me type scientific equations? This spacing stuff gets old fast.

If I work those formulas around, I think I get:

I / k = (1/2)(v)(delta Pm)*sm

The problem there is I don't know what (delta Pm) would be.
 
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I'm not really sure that whole equation is necessary, but I'm also not sure how to shorten it and figure it out with the two variables given.
 
We do math typesetting on here using a code called Latex. See the sticky about it in General Physics. Sorry, I'm not very familiar with these formulas. Someone will chime in and help! ;)
 
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