Hi - I'm new here - I'm just writing a paper based on an acoustical analysis of a rock/pop performance venue in a college I work at, and I'm up to my uncertainties section.(adsbygoogle = window.adsbygoogle || []).push({});

I've read up on uncertainties, and feel confident in working out uncertainties for simple additions, multiplications, divisions, squares and roots - but my equation is more complex than that.

Here's the main equation: -

[PLAIN]http://dl.dropbox.com/u/11341635/Room%20modes.png [Broken]

n,_{x}nand_{y}nare integer values from one to infinity._{z}

l= 13.640 m ± 0.005 m_{x}

l= 8.109 m ± 0.005 m_{y}

l= 6.241 m ± 0.005 m_{x}

cis the speed of sound and is calculated using the equation: -

[PLAIN]http://dl.dropbox.com/u/11341635/Speed%20of%20sound.png [Broken]

(the 101.1% is due to humidity at 30 degrees C and 30 % humidity - the maximum that could have been reached during the experiment).

Twas 23 degree C ± 2

I'm not sure how to deal with the integer values - I'll need to put values to each at some point - I was assuming each would be either 1, or the maximum reached during the experiment (around 15), but this would mean that the end uncertainty would be a variable number depending on what these integers were.

Assuming each integer value were 1, how do you deal with 1/x in uncertainties? I can't find any reference to this in all my guidance documents.

Then finally there's the square root to deal with. I know that to deal with a square root you usually divide the relative uncertainty by 2, but what if it's a square root of a bunch of uncertainties - like in this case.

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# Uncertainty of room mode frequencies

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