Science of Sound: 5. Measuring Amplitude

Sound level meter

Sound level meters measure sound in units called “decibels of sound pressure level” and is abbreviated dB SPL.​ The microphone on the sound level meter is able to measure the amplitude of the sound pressure wave. ​

0 dB SPL represents to the minimum detectable pressure by the average human ear which corresponds to 20µPa (µPa means micropascal; pascals are units of pressure). This is an extremely low pressure; it is less than a billionth of atmospheric pressure (which is the pressure of the air all around us). ​

Since the human ear can hear such a large range of amplitudes, decibels are calculated with a logarithmic scale where p=pressure and is always calculated as a ratio of 2 pressures (an observed or measured pressure p over a reference pressure p (the minimum detectable pressure by the average human ear which corresponds to 20µPa). The formula for calculating dB SPL is: ​​

20 log formula
Because the decibel sound pressure level scale is logarithmic, each 20 dB increase on the scale relates to a 10 times greater increase in the amplitude of the sound pressure.​
  • A sound that is 10 times greater in sound pressure would equate to an increase of 20 dB SPL.
  • A sound that is 10 times greater would measure 20 dB higher​.
  • A sound that is 100 times greater would measure 40 dB higher​.
There is a physical limit to how high in amplitude a sound can get. Because sound waves are fluctuations (compressions and rarefactions) of atmospheric pressure, the maximum sound level is related to the lowest amount of air pressure (rarefaction) that can be produced. In other words, once the rarefaction level of a sound wave reaches zero air pressure (a complete vacuum), then the sound wave can’t be any larger. At fluctuations of atmospheric pressure that produce a complete vacuum during rarefaction, the sound pressure level is 194 dB.

Don’t panic, you won’t have to calculate decibels to teach about Dangerous Decibels!

What is the highest decibel that a sound can make?

Quiz