Math & Numbers
Induction Motor Torque-Speed Characteristic (Kloss)
Build the torque-speed curve of a three-phase induction motor using the Kloss equation T/T_max = 2/(s/s_max + s_max/s). Returns rated torque, breakdown (max) torque, starting torque, breakdown slip, and a sampled T-n curve with configurable point count.
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/motor-torque-speed' \
-H 'Content-Type: application/json' \
-d '{"frequency":50,"poles":2,"powerUnit":"kW","ratedPower":7.5,"ratedSpeed":1440,"maxTorque":0,"overloadFactor":2.5,"curvePoints":21,"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/motor-torque-speedParameters
| Name | Type | Required | Description |
|---|---|---|---|
| frequency | number | Yes | Supply frequency in Hz. |
| poles | number | Yes | Number of POLE PAIRS p (a 4-pole motor has p=2). |
| powerUnit | select | No | — |
| ratedPower | number | Yes | Rated shaft output power in the selected unit. |
| ratedSpeed | number | Yes | Rated rotor speed (must be less than synchronous speed n_s). |
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-motor-torque-speed": {
"name": "motor-torque-speed",
"description": "Build the torque-speed curve of a three-phase induction motor using the Kloss equation T/T_max = 2/(s/s_max + s_max/s). Returns rated torque, breakdown (max) torque, starting torque, breakdown slip, and a sampled T-n curve with configurable point count.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=motor-torque-speed",
"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": "motor-torque-speed",
"arguments": {
"frequency": 50,
"poles": 2,
"powerUnit": "kW",
"ratedPower": 7.5,
"ratedSpeed": 1440,
"maxTorque": 0,
"overloadFactor": 2.5,
"curvePoints": 21,
"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).