Intensity of sound wave via displacement amplitude¶
The intensity of a sound wave is the rate per unit area of energy transfer through or onto a surface. It depends on the density of the medium, the phase speed and the angular frequency of the wave and the amplitude of particles in the medium.
Links:
Equation 17-27 on p. 489 of “Fundamentals of Physics” by David Halladay et al., 10th Ed.
- medium_density¶
densityof the medium in which the sound wave is being propagated.- Symbol:
rho- Latex:
\(\rho\)
- Dimension:
mass/volume
- phase_speed¶
phase_speedof the wave.- Symbol:
v- Latex:
\(v\)
- Dimension:
velocity
- angular_frequency¶
angular_frequencyof the wave.- Symbol:
w- Latex:
\(\omega\)
- Dimension:
angle/time
- displacement_amplitude¶
Displacement amplitude of the particles in the medium. See
euclidean_distance.- Symbol:
s_max- Latex:
\(s_\text{max}\)
- Dimension:
length
- law¶
I = rho * v * w^2 * s_max^2 / 2- Latex:
- \[I = \frac{\rho v \omega^{2} s_\text{max}^{2}}{2}\]