Particle Velocity - Equations in Terms of Other Measurements

Equations in Terms of Other Measurements

The velocity v can be related to the particle displacement (xi) and acceleration for single frequency plane wave of frequency f using

$v = \xi\cdot \omega = \xi(2 \cdot \pi \cdot f) = \frac{p}{Z} = \frac{a}{\omega} = \sqrt{\frac{E}{\rho}} = \sqrt{\frac{P_{ac}}{Z \cdot A}}$

It is further related to the instantaneous acoustic intensity vector I (not the time-averaged acoustic intensity) according to

$v = \frac{I}{p}$

Symbol	Units	Meaning
v	m/s	particle velocity
ξ	m, meters	particle displacement
ω = 2πf	radians/s	angular frequency
f	Hz, hertz	frequency
p	Pa, pascals	sound pressure
Z	N·s/m³	acoustic impedance
E	W·s/m³	sound energy density
P_ac	W, watts	sound power or acoustic power
A	m²	area
a	m/s²	particle acceleration
	kg/m³	air density

Read more about this topic: Particle Velocity

Famous quotes containing the word terms:

“It is surely a matter of common observation that a man who knows no one thing intimately has no views worth hearing on things in general. The farmer philosophizes in terms of crops, soils, markets, and implements, the mechanic generalizes his experiences of wood and iron, the seaman reaches similar conclusions by his own special road; and if the scholar keeps pace with these it must be by an equally virile productivity.”
—Charles Horton Cooley (1864–1929)