Math & Numbers

Belt Pulley Speed Ratio Calculator

Calculate the ratio, driven speed and belt linear speed of a belt drive. i = d₂/d₁ = n₁/n₂, belt speed v = π·d·n/60. Supports mm/cm/m/inch diameter units.

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/belt-pulley-speed-ratio' \
  -H 'Content-Type: application/json' \
  -d '{"d1":100,"d2":300,"n1":1800,"diameterUnit":"mm","linearSpeedUnit":"m/s","decimalPlaces":4}'

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/belt-pulley-speed-ratio

Parameters

Name	Type	Required	Description
d1	number	Yes	—
d2	number	Yes	—
n1	number	No	Optional. If provided, the driven speed and belt linear speed are computed.
diameterUnit	select	No	—
linearSpeedUnit	select	No	—

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-belt-pulley-speed-ratio": {
      "name": "belt-pulley-speed-ratio",
      "description": "Calculate the ratio, driven speed and belt linear speed of a belt drive. i = d₂/d₁ = n₁/n₂, belt speed v = π·d·n/60. Supports mm/cm/m/inch diameter units.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=belt-pulley-speed-ratio",
      "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": "belt-pulley-speed-ratio",
    "arguments": {
  "d1": 100,
  "d2": 300,
  "n1": 1800,
  "diameterUnit": "mm",
  "linearSpeedUnit": "m/s",
  "decimalPlaces": 4
}
  }
}

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).

Questions or issues? Contact [email protected]

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