Motor Torque/Power/Speed Converter

Inspectable records

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

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