13.2 Sound Intensity and Resonance




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- Sound Intensity "I" is the measure of poower "P" distributed over the spherical area of radius "r" from the source of sound.

I = P/4πr2


- The sound intensity is inversely proporttional to the square of the distance from the source.
(twice the distance is ¼ the intensity.)


- The SI unit of sound Intensity is Watts//meter2.

- The common unit which measures sound levvel intensity is the decibel level, "dB" named after Alexander "Teddy" Graham Bell.

- Io is a sound that is barely aubible.

Io = 10-12 W/m2 = 0 dB


- The Sound Intensity level " β ", inn decibels, of a sound intensity "I", in W/m2, is given by the equation:

β = 10 log I/Io

(plus 10 dB = times 10 W/m2)
20 dB is 102 or 100 times more intense = 10-10 W/m2
30 dB is 103 or 1000 times more intense = 10-9 W/m2
40 dB is 104 or 10000 times more intense = 10-8 W/m2


- Resonance occurs when energy is added too a system by a periodic force with a frequency equal to the system's natural frequencies.

- In a clarinet, resonance produces sound when the air in the tube of the clarinet vibrates at the same frequency as the reed.

- The human ear is a complex sense organ tthat translates sound vibrations into nerve impulses that are then sent to the brain for interpretation.

- The human ear has three main parts:

The outer ear collects sounds with the ear drum
In the middle ear, three bones vibrate
In the inner ear the cochlea transmits vibrations to nerve cells



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