Lesson 5 of 15

Sound Intensity

Intensity of a Point Source

A speaker radiates power P (watts) equally in all directions. At distance r, that power is spread over a sphere of surface area 4pir24pi r^2:

I = rac{P}{4pi r^2}

  • I — intensity (W/m²)
  • P — acoustic power (W)
  • r — distance from source (m)

Inverse-Square Law

Doubling the distance quarters the intensity — the same r2r^2 dependence as gravity and light. This is why outdoor concerts sound quiet from far away.

P (W)r (m)I (W/m²)
110.0796
100100.0796
120.0199
410.3183

Your Task

Implement soundIntensity(P, r) returning intensity in W/m².

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