Source: https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/

instrument / verified-clean

# Motor Torque/Power/Speed Converter

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Inspectable records

[01**Overview**Purpose and lifecycle](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/>)[02**Mechanism**Method and assumptions](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/mechanism/>)[03**Implementation**Binding and validation](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/implementation/>)[04**Qualification**Evidence and errata](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/qualification/>)

## Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

**Area**: Electrical & Electronics Engineering — Circuits, Power Systems, Electronics Lab

**Tranche**: tranche-4

**Evidence ID**: t4-090

**Ledger rows**: 1

No ledger note is attached.

## Review findings

The core relationship is standard, but the catalog specification must explicitly define units, the mechanical-horsepower convention, supported sign conventions, and denominator constraints before it can receive an unconditional PASS.

### Formula and scope findings

- P=Tω=T·2πN/60 is correct only when T is in N·m, N is rotational speed in rpm, and P is in watts; those required units are not specified.

- 1 HP=746 W is an accepted approximation for mechanical horsepower, but the horsepower type is not identified and other definitions, such as metric horsepower, differ.

- The claim that any two of T, N, and P are sufficient needs an explicit nonzero-denominator constraint for inverse calculations.

### Unit assumptions

- For the primary formula, torque T is in N·m, speed N is in rpm, angular speed ω is in rad/s, and power P is in W.

- Power in kW must be converted using 1 kW=1000 W before applying the formula.

- The horsepower conversion assumes 1 mechanical hp=746 W; this is an approximation.

- Torque values supplied in lb·ft require conversion using 1 lb·ft=1.355817948 N·m.

- The speed variable N is assumed to mean revolutions per minute, not revolutions per second or rad/s.

## Boundary hardening

**BREAK_CLAIMED** · SELF_FLAGGED

The reverse calculation of torque is undefined when power is nonzero and speed is exactly zero; the instrument should reject that input rather than produce a numeric result. A separate convention hazard also produces opposite power signs for signed versus magnitude-only speed.

## Errata and corrections

No applied erratum is attached to this unique-name record.

## Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

````
{
  "inputs": {
    "torque_Nm": 20,
    "speed_rpm": 1500
  },
  "expected_outputs": {
    "power_W": 3141.592654,
    "power_kW": 3.141592654,
    "power_mechanical_hp": 4.211250206
  },
  "working": "ω=2πN/60=2π(1500)/60=50π rad/s. P=Tω=20(50π)=1000π W=3141.592654 W=3.141592654 kW. HP=P/746=3141.592654/746=4.211250206 hp."
}
````

## Related workflows

[Motor & Drivetrain Benchmotor point](<https://guthlabs.ai/docs/instrument-workflows/motor-drive/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json · VERIFIED_CLEAN`

- `evidence-tranche4/tranche4-results.json`

- `BOUNDARY_HAZARD_CATALOG.json`