Math & Numbers

Sound Power Level Converter (W / dB Lw re 1 pW)

Convert sound power between linear units (W, mW, µW, pW) and the decibel sound power level dB Lw (Lw = 10·log₁₀(W / 1 pW), reference P₀ = 1 pW = 1e-12 W, per ISO 3744 / IEC 60027-3). Supports bidirectional linear↔logarithmic conversion and reports the equivalent value in all five units. Reference values: whisper ≈ 1e-9 W (Lw ≈ 30), speech ≈ 1e-5 W (Lw ≈ 70), jet engine at 1 m ≈ 1e4 W (Lw ≈ 160).

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/sound-power-level-converter' \
  -H 'Content-Type: application/json' \
  -d '{"inputUnit":"W","value":0.00001,"outputUnit":"dB Lw","decimalPlaces":6}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/sound-power-level-converter

Parameters

Name	Type	Required	Description
inputUnit	select	No	—
value	number	Yes	Sound power in the selected Input unit. Must be non-negative (linear) or finite (dB).
outputUnit	select	No	—
decimalPlaces	number	No	—

Response format

JSON result

JSON

{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-sound-power-level-converter": {
      "name": "sound-power-level-converter",
      "description": "Convert sound power between linear units (W, mW, µW, pW) and the decibel sound power level dB Lw (Lw = 10·log₁₀(W / 1 pW), reference P₀ = 1 pW = 1e-12 W, per ISO 3744 / IEC 60027-3). Supports bidirectional linear↔logarithmic conversion and reports the equivalent value in all five units. Reference values: whisper ≈ 1e-9 W (Lw ≈ 30), speech ≈ 1e-5 W (Lw ≈ 70), jet engine at 1 m ≈ 1e4 W (Lw ≈ 160).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=sound-power-level-converter",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "sound-power-level-converter",
    "arguments": {
  "inputUnit": "W",
  "value": 0.00001,
  "outputUnit": "dB Lw",
  "decimalPlaces": 6
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

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Sound Power Level Converter (W / dB Lw re 1 pW)

json· JSON resultOpen tool

curl -X POST 'https://api.elysiatools.com/en/api/tools/sound-power-level-converter' \ -H 'Content-Type: application/json' \ -d '{"inputUnit":"W","value":0.00001,"outputUnit":"dB Lw","decimalPlaces":6}'

Name

Type

Required

Description

inputUnit

select

—

value

number

Yes

Sound power in the selected Input unit. Must be non-negative (linear) or finite (dB).

outputUnit

select

—

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-sound-power-level-converter": { "name": "sound-power-level-converter", "description": "Convert sound power between linear units (W, mW, µW, pW) and the decibel sound power level dB Lw (Lw = 10·log₁₀(W / 1 pW), reference P₀ = 1 pW = 1e-12 W, per ISO 3744 / IEC 60027-3). Supports bidirectional linear↔logarithmic conversion and reports the equivalent value in all five units. Reference values: whisper ≈ 1e-9 W (Lw ≈ 30), speech ≈ 1e-5 W (Lw ≈ 70), jet engine at 1 m ≈ 1e4 W (Lw ≈ 160).", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=sound-power-level-converter", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "sound-power-level-converter", "arguments": { "inputUnit": "W", "value": 0.00001, "outputUnit": "dB Lw", "decimalPlaces": 6 } } }