Finding Amplitude of Air Vibration from Frequency and Intensity

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Homework Help Overview

The discussion revolves around finding the amplitude of air vibrations from given frequency and intensity values in the context of sound physics.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to relate frequency and intensity to amplitude using formulas but expresses uncertainty about the necessary equations. Some participants question the complexity of the formulas and the relevance of certain variables.

Discussion Status

Participants are exploring different equations and expressing confusion about the variables involved, particularly regarding the term (delta Pm). There is a suggestion to use a specific formatting tool for mathematical expressions, indicating a collaborative effort to clarify the problem.

Contextual Notes

There is a mention of the complexity of the formulas and a lack of familiarity with the relevant physics concepts among some participants, which may affect the discussion's progress.

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.
 
Last edited:
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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