Shaft Power-Torque-Speed Calculator mechanism

Model scope

The formula P = Tω = 2πNT/60 is standard and correct under the stated units. NEEDS_REVIEW is required because the ω output unit is not explicitly declared and the input mode ('P or T') does not specify behavior when both or neither are provided. The blank honest_label does not create a mathematical overclaim, but the user-facing label should state the input mode, output units, and zero-speed limitation.

No additional formula finding is recorded.

Units and conventions

• N is rotational speed in revolutions per minute (rpm).
• T is torque in newton-metres (N·m).
• P is power in watts (W).
• ω is assumed to be angular velocity in radians per second (rad/s), although the output unit is not explicitly stated.
• The formula assumes consistent signed quantities; if magnitudes are intended, direction/sign conventions must be specified.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "T_Nm": 50,
    "N_rpm": 1800
  },
  "expected_outputs": {
    "omega_rad_per_s": 188.49555921538757,
    "P_W": 9424.77796076938,
    "T_Nm": 50
  },
  "working": "ω = 2πN/60 = 2π(1800)/60 = 60π = 188.49555921538757 rad/s. P = Tω = 50 × 188.49555921538757 = 9424.77796076938 W."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

A nonzero power input at zero rpm produces a zero denominator when torque is calculated, so the instrument must reject the input or report torque as undefined rather than returning a finite value.

Other records

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