{
  "slug": "torque-calculator",
  "title": "Torque Calculator",
  "heading": "Torque Calculator",
  "category": "math",
  "url": "https://www.revenuelab.fyi/toolbox/torque-calculator",
  "summary": "Torque from force and lever arm, in Nm and ft-lb.",
  "description": "Torque is force times distance times the sine of the angle between them. Useful for bolts, wrenches, and motor sizing.",
  "formula": "τ = F × r × sin θ",
  "dateModified": "2026-09-30",
  "run_url": "https://www.revenuelab.fyi/api/public/calc?tool=torque-calculator",
  "inputs": [
    {
      "id": "force",
      "label": "Force",
      "kind": "number",
      "hint": null,
      "default": 100,
      "unit": "N",
      "min": 0,
      "max": null
    },
    {
      "id": "r",
      "label": "Lever arm",
      "kind": "number",
      "hint": null,
      "default": 0.3,
      "unit": "m",
      "min": 0,
      "max": null
    },
    {
      "id": "angle",
      "label": "Angle",
      "kind": "number",
      "hint": null,
      "default": 90,
      "unit": "°",
      "min": 0,
      "max": 180
    }
  ],
  "outputs": [
    {
      "id": "torque",
      "label": "Torque (N·m)",
      "format": "decimal",
      "hint": null,
      "primary": true
    },
    {
      "id": "ftlb",
      "label": "Torque (ft·lb)",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "inlb",
      "label": "Torque (in·lb)",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "kgfm",
      "label": "Torque (kgf·m)",
      "format": "decimal",
      "hint": null,
      "primary": false
    }
  ],
  "worked_example": {
    "inputs": [
      "Force: 100 N",
      "Lever arm: 0.3 m",
      "Angle: 90 °"
    ],
    "outputs": [
      "Torque (N·m): 30",
      "Torque (ft·lb): 22.13",
      "Torque (in·lb): 265.5",
      "Torque (kgf·m): 3.06"
    ]
  },
  "how_to": {
    "title": "How to use this",
    "steps": [
      "Enter force (N).",
      "Enter lever arm (m).",
      "Enter angle (°).",
      "Read your torque (n·m) on the right — it updates as you type.",
      "Hit Share to keep the scenario or send it to someone."
    ]
  },
  "scenarios": [
    {
      "name": "Conservative",
      "description": "Lower-end numbers — what if things land soft?",
      "values": {
        "force": 60,
        "r": 0.18,
        "angle": 54
      }
    },
    {
      "name": "Typical",
      "description": "Defaults — the most common real-world setup.",
      "values": {
        "force": 100,
        "r": 0.3,
        "angle": 90
      }
    },
    {
      "name": "Ambitious",
      "description": "Higher-end numbers — what if things really pop?",
      "values": {
        "force": 160,
        "r": 0.48,
        "angle": 144
      }
    }
  ],
  "limitations": [
    "Results are rounded for display; the underlying calculation keeps full precision.",
    "Very large or very small inputs may hit floating-point limits in the browser.",
    "Inputs outside the accepted range are clamped rather than rejected."
  ],
  "faq": [
    {
      "q": "How does the torque calculator work?",
      "a": "Torque is force times distance times the sine of the angle between them. Useful for bolts, wrenches, and motor sizing. The underlying maths is: τ = F × r × sin θ"
    },
    {
      "q": "What do I need to enter?",
      "a": "3 values: force, lever arm, and angle. Each field starts with a sensible default, so you can change one number at a time and watch the result move."
    },
    {
      "q": "What does the torque (n·m) result mean?",
      "a": "It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds."
    },
    {
      "q": "Is this calculator free, and do I need an account?",
      "a": "Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser."
    },
    {
      "q": "How accurate is the result?",
      "a": "It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision."
    },
    {
      "q": "Who is this tool for?",
      "a": "It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet."
    }
  ],
  "related": [],
  "license": "CC-BY-4.0",
  "citation": "RevenueLab — Torque Calculator (https://www.revenuelab.fyi/toolbox/torque-calculator)"
}