Formula- Displacement amplitude and pressure amplitude

2-3 Traveling sound waves

Normally, the pressure amplitude is much smaller than the equilibrium atmospheric pressure and the displacement amplitude is much smaller than the wavelength of sound waves. The table bellow lists the pressure amplitude and the displacement amplitude for the faintest sound the human ear can detect and the loudest sound the human ear can tolerate at a frequency of 1000 Hz at room temperature.

The pressure amplitude and the displacement amplitude are related by

mm = micrometer = 10^-6 m
pm = picometer = 10^-12 m

	Dp_m	s_m
Loudest sound you can tolerate	30 Pa	10 mm
Faintest sound you can hear	30 mPa	10 pm
	Atmospheric pressure = 10⁵ Pa	Wavelength = 0.34 m