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Figure 1. Longitudinal wave (http://www.acs.psu.edu/drussell/demos/waves/wavemotion.html) 

Math

Sound wave has its own intensity which is defined by common word sound level. Sound pressure in any media is not constant. It changes continuously. For that we have acoustic pressure (P) which is the difference between the instantaneous and the average pressure. Particle displacement (ξis particles distance of a movement from an equilibrium position (spot where wave hits first). With these two characteristics we can calculate intensity is gotten by following pattern:

Sound level is gotten by following pattern:

of a sound (I) which is the transferred power per unit area. 

Acoustic pressure:

I=Pξ 

Sound intensity level (SIL) is logarithm of ratio of sound intensity to sound intensity standard reference value (I0).

Sound intensity standard reference value:

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Sound intensity level:

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Figure 0. Sound pressure pattern (http://wideawakeparanormal.com/main/images/stories/spl.jpg) 

Figure 2. Sound pressure level table (https://www.brechbuehler.ch/typo3temp/pics/e1b7211d3c.jpg)Speed of sound table:

Sound travelling speed depends on temperature and material. 

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Figure 3. (http://www.ctgclean.com/tech-blog/wp-content/uploads/Speed-of-Sound-Table.jpgh  

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Sources

Handbook of Modern Sensors by Jacob Fraden,2010, Springer

http://en.wikipedia.org/wiki/Sound_intensity

http://en.wikipedia.org/wiki/Sound_pressure

 http://www.acs.psu.edu/drussell/demos/waves/wavemotion.html

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