Particle velocity should not be confused with the speed of the wave as it passes through the medium, i.e. in the case of a sound wave, particle velocity is not the same as the speed of sound. In applications involving sound, Particle velocity is usually measured using a logarithmic decibel scale called particle velocity level. Equations in terms of other measurementsThe velocity v can be related to the particle displacement ξ and acceleration for single frequency plane wave of frequency f using It is further related to the instantaneous acoustic intensity vector I (not the time-averaged acoustic intensity) according to
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