Sound level from intensity API

Converts acoustic intensity (W/m²) to dB intensity level and dB SPL, deriving RMS sound pressure from p = sqrt(I·ρ·c) (or the reverse), with the air's acoustic impedance. Answers 'What dB SPL corresponds to this intensity?', 'What sound pressure does this power produce?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/sound-intensity-level

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

acousticssound-intensityspldecibelsound-pressureimpedancenoisephysics

API URLhttps://x402.hexl.dev/v1/engineering/sound-intensity-level

Integration docs

Example request

{
  "intensityWm2": 0.000001
}

Example response

{
  "intensityWm2": 0.000001,
  "pressurePa": 0.02049817,
  "intensityLevelDb": 60,
  "soundPressureLevelDbSpl": 60.2137,
  "acousticImpedanceRayl": 420.175,
  "interpretation": "≈ 60.2 dB SPL (intensity 0.000001 W/m²)."
}

Input schema

{
  "type": "object",
  "properties": {
    "intensityWm2": {
      "type": "number",
      "description": "Sound intensity (W/m²)",
      "examples": [
        0.000001
      ]
    },
    "pressurePa": {
      "type": "number",
      "description": "RMS sound pressure (Pa), alternative to intensity",
      "examples": [
        0.0205
      ]
    },
    "airDensityKgM3": {
      "type": "number",
      "description": "Air density (default 1.225 kg/m³)",
      "examples": [
        1.225
      ]
    },
    "soundSpeedMps": {
      "type": "number",
      "description": "Speed of sound (default 343 m/s)",
      "examples": [
        343
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}