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

instrument mechanism / verified-clean

# Motor Torque/Power/Speed Converter mechanism

The inspectable method record for Motor Torque/Power/Speed Converter, kept separate from implementation and qualification.

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

## Model scope

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.

- 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.

## Units and conventions

- 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.

## Inspectable vector

One of 4 source-bound review vectors:

````
{
  "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."
}
````

## Failure boundary

**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.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/implementation/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/motor-torque-power-speed-converter/qualification/>)

## Sources and evidence

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

- `VERIFIED_LEDGER.json`

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

- `BOUNDARY_HAZARD_CATALOG.json`