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-ratioParameters
| 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]