Sound Intensity Calculator
Calculate sound intensity from power and area using I = P / A.
Sound Intensity
0.000796 W/m²
Sound Intensity vs Sound Power
Fórmula
## Sound Intensity Sound intensity is the power carried by a sound wave per unit area perpendicular to the propagation direction. ### Formula **I = P / A** For a point source radiating uniformly, A = 4*pi*r². The intensity level in decibels is **L = 10 * log10(I / I_0)** where I_0 = 10^-12 W/m² is the threshold of hearing.
Ejemplo Resuelto
A speaker emitting 0.01 W of sound power, measured at 1 m (sphere area = 4*pi*1² = 12.566 m²).
- 01I = P / A
- 02I = 0.01 / 12.566
- 03I = 7.958 x 10^-4 W/m²
- 04L = 10 * log10(7.958e-4 / 1e-12)
- 05L = 10 * log10(7.958e8)
- 06L = 89.0 dB
Preguntas Frecuentes
What is the threshold of hearing?
The quietest sound a typical human ear can detect is about 10^-12 W/m², defined as 0 dB.
How does intensity change with distance?
For a point source, intensity follows the inverse square law: doubling the distance reduces intensity by a factor of four.
What intensity causes hearing damage?
Prolonged exposure above about 85 dB (roughly 3 x 10^-4 W/m²) can cause gradual hearing loss.
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