Sound Pressure

Sound

Sound is vibration transmitted through a solid, liquid, or gas; particularly, sound means those vibrations composed of frequencies capable of being detected by ears.

For humans, hearing is limited to frequencies between about 20 Hz and 20,000 Hz (20 kHz), with the upper limit generally decreasing with age.

The mechanical vibrations that can be interpreted as sound are able to travel through all forms of matter: gases, liquids, solids, and plasmas. The matter that supports the sound is called the medium. Sound cannot travel through vacuum.

Sound waves are characterised by the generic properties of waves, which are frequency, wavelength, period, amplitude, intensity, speed, and direction.

Sound and your Ears

Humans hear because our ears convert the vibrations of a sound wave into signals that your brain interprets as sound. When these vibrations enter your ear, your eardrum and a set of tiny bones in your ear (the well-known hammer, anvil, and stirrup) amplify the vibrations. In your inner ear, these amplified vibrations move tiny hair cells that then convert the vibrations into nerve impulses sent to your brain. Your brain then interprets these nerve impulses as sound.

Sound Pressure

Sound pressure level (SPL) or sound level is a logarithmic measure of the rms sound pressure of a sound relative to a reference (ambient) value. It is measured in decibel (dB).

Loudness

Loudness, a subjective measure, is often confused with objective measures of sound pressure such as decibels or intensity. Filters such as A-weighting attempt to adjust sound measurements to correspond to loudness as perceived by the average human. The perception of loudness is related to frequency, intensity and duration of a sound.

Perception of Loudness

The perception of loudness is not the same as sound pressure level. Although the actual formulae is somewhat complex, as a rough rule of thumb, an increase of 10db SPL is perceived to be approximately twice as loud;

  • A 20 dB gain would seem to be about 4 times as loud
  • A 40 dB gain would seem to be about 16 times as loud

Sound Pressure & Intensity

Table of sound levels L and corresponding
sound pressure and sound intensity


Examples Sound Pressure
Level Lp dB SPL
Sound Pressure p 
N/m2 = Pa
Sound Intensity I 
W/m2
Jet aircraft, 50 m away 140 200 100
Threshold of pain 130 63.2 10
Threshold of discomfort 120 20 1
Chainsaw, 1m distance 110 6.3 0.1
Disco, 1 m from speaker 100 2 0.01
Diesel truck, 10 m away 90 0.63 0.001
Kerbside of busy road, 5 m 80 0.2 0.0001
Vacuum cleaner, distance 1 m 70 0.063 0.00001
Conversational speech, 1m 60 0.02 0.000001
Average home 50 0.0063 0.0000001
Quiet library 40 0.002 0.00000001
Quiet bedroom at night 30 0.00063 0.000000001
Background in TV studio 20 0.0002 0.0000000001
Rustling leaf 10 0.000063 0.00000000001
Threshold of hearing 0 0.00002 0.000000000001
Example Sound Pressure Level for two persons talking (not shouting) at various distances (level at the receiver's ear)

0.25m 0.5m 1m 1.5m 2m 3m
70-76dB 65-71dB 58-64dB 55-61dB 52-58dB 50-56dB

References

Wikipedia - Sound
Wikipedia - Sound Pressure
Wikipedia - Loudness
Decibel Table - Comparison Chart