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  • Dean Michael Berris

Dean Michael Berris

2 years ago

in Deriving Equations for School Administration on R-squared
Nice equation(s) there. However, you have only shown the mathematical property when you assume that the sound intensity does not degrade over a distance as affected by environmental factors like humidity, the type of air in the area, and that you assumed that the sound travels in a radial (non-spherical) 2 dimensions and that the source is not near a wall/floor. The effect of how far a sound is from the sounding board or the nearest thing that allows the vibration to actually amplify (like the floor, or a wall, etc.) will affect the intensity and _quality_ of the "noise" or sound as the environmental factors (as you have not considered) will affect the sound gathered from the other end.

The frequency of the sound also affects the dampening effect that the air around the source plays. You'll need at least a few more factors to accurately find out how much "noise" actually reaches a certain point in space given reallistic environmental factors.

However, the equations seem enough to convince someone that the sound that reaches the other end of the hall is not noisy enough. :)
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