DISQUS

Mark Punzalan · 3 years ago

I see...

Dean Michael Berris · 3 years ago

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. :)

Allan Espinosa · 3 years ago

Thanks for the feedback Dean :D. I forgot to include in the original post that one of my assumptions was that the sound travels along free space. I have thought of protocols in which how the school can measure the sound source. The intensity of the point source can be measured using special equipment on exits of a building like windows and doors. Although this is a crude method, it can be assumed that the sound from these parts can be representatives of a point source for practical purposes for the school.