# Moment of Inertia Calculator API

> For the complete documentation index, see [llms.txt](/llms.txt).

Area moment of inertia (rectangle, circle, hollow circle, triangle) or mass moment of inertia (rod, cylinder, sphere, hollow cylinder), in SI units.

Use this endpoint to add the tool to your app, site, workflow, or agent without rebuilding formulas, validation, examples, and docs.

- Slug: `moment-of-inertia-calculator`
- Category: `science`
- Version: `2026-04-22`
- Credits per successful call: 1
- Starts on: free
- Max payload: 65536 bytes
- Privacy mode: `hash_only`
- Available on: free, starter, pro, business, scale
- Browser tool: https://miniwebtool.com/moment-of-inertia-calculator/

## Endpoint

`POST https://api.miniwebtool.com/v1/tools/moment-of-inertia-calculator/run`

## Request body

| Field | Type | Required | Description |
| --- | --- | --- | --- |
| `mode` | `str` | no | area | mass Choices: area, mass |
| `shape` | `str` | no | rect | circle | hollow_circle | triangle | rod_center | cyl_axis | solid_sphere | hollow_cyl Choices: rect, circle, hollow_circle, triangle, rod_center, cyl_axis, solid_sphere, hollow_cyl |
| `dim1` | `float` | no | meters (primary dimension: width/diameter/outer diameter/outer radius/length/radius) |
| `dim2` | `float | None` | no | meters (secondary dimension: height/inner diameter/inner radius, shape-dependent) |
| `dim3` | `float | None` | no | reserved, unused |
| `mass` | `float` | no | kg, required for mass mode |

## Example request

```json
{
  "mode": "area",
  "shape": "rect",
  "dim1": 0.1,
  "dim2": 0.2
}
```

## cURL

```bash
curl -X POST https://api.miniwebtool.com/v1/tools/moment-of-inertia-calculator/run \
  -H 'Authorization: Bearer mwt_live_YOUR_KEY' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"area","shape":"rect","dim1":0.1,"dim2":0.2}'
```

## Response envelope

```json
{
  "request_id": "01K...",
  "tool": "moment-of-inertia-calculator",
  "tool_version": "2026-04-22",
  "credits_used": 1,
  "result": {}
}
```

## Errors

Errors are RFC 7807 `application/problem+json`. Branch on `code`, not `title`.

## MCP

Agents can discover and call this tool through `https://api.miniwebtool.com/mcp` or `https://api.miniwebtool.com/v1/mcp` using MCP `tools/list` and `tools/call`.

## Frequently asked

### What does the Moment of Inertia Calculator API do?

Area moment of inertia (rectangle, circle, hollow circle, triangle) or mass moment of inertia (rod, cylinder, sphere, hollow cylinder), in SI units. Use it to add this utility without rebuilding formulas, validation, examples, and documentation.

### How much does one call cost?

1 credit per successful call. Failed calls do not bill.

### What parameters are required?

Required fields: (none). Full schema at `https://api.miniwebtool.com/v1/openapi.json`.

### Is this deterministic?

Yes. Same input, same output. Tool version: 2026-04-22.