Pressure amplitude in sound wave

Sound waves cause a pressure change of the medium from the equilibrium pressure. This change is proportional to the speed of sound and the density of the medium, the angular frequency of the wave and the displacement of particles in the medium.

Links:

1. Equation 17-14 on p. 484 of “Fundamentals of Physics” by David Halladay et al., 10th Ed.

pressure_amplitude

Amplitude of pressure change.

Symbol:

Delta(p)_max

Latex:

\((\Delta p)_\text{max}\)

Dimension:

pressure

speed_of_sound

speed of sound in the medium.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

medium_density

density of the medium.

Symbol:

rho

Latex:

\(\rho\)

Dimension:

mass/volume

angular_frequency

angular_frequency of the sound wave.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

displacement_amplitude

Displacement amplitude of particles in the medium. See euclidean_distance.

Symbol:

s_max

Latex:

\(s_\text{max}\)

Dimension:

length

law

Delta(p)_max = v * rho * w * s_max

Latex:

\[(\Delta p)_\text{max} = v \rho \omega s_\text{max}\]