Math & Numbers
Chain Sprocket Ratio Calculator
Calculate the ratio, driven speed and chain linear speed of a chain drive. i = z₂/z₁ = n₁/n₂, chain speed v = z₁·p·n₁/60000. Enter the pitch to compute chain speed.
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/chain-sprocket-ratio' \
-H 'Content-Type: application/json' \
-d '{"z1":17,"z2":51,"n1":1200,"pitch":12.7,"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/chain-sprocket-ratioParameters
| Name | Type | Required | Description |
|---|---|---|---|
| z1 | number | Yes | — |
| z2 | number | Yes | — |
| n1 | number | No | Optional. If provided, the driven speed is computed. |
| pitch | number | No | Optional. Combined with n₁ it yields the chain linear speed (m/s). |
| decimalPlaces | number | 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-chain-sprocket-ratio": {
"name": "chain-sprocket-ratio",
"description": "Calculate the ratio, driven speed and chain linear speed of a chain drive. i = z₂/z₁ = n₁/n₂, chain speed v = z₁·p·n₁/60000. Enter the pitch to compute chain speed.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=chain-sprocket-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": "chain-sprocket-ratio",
"arguments": {
"z1": 17,
"z2": 51,
"n1": 1200,
"pitch": 12.7,
"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]