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One steady operating point · average shaft quantity · documented inputs

Motor Operating-Point Shaft-Torque Worksheet

Calculate average shaft torque from documented shaft output power and speed, or estimate it from a complete balanced sinusoidal three-phase electrical operating point. Current alone does not determine motor torque.

T=Pout/ωNo default PF or efficiencyStarts blankN·m and lbf·ft

Document the operating point

Every value must describe the same stable motor,connection,supply,load and speed. Use the direct shaft-power basis when applicable output power is known;the electrical basis adds uncertainty from power factor and efficiency.

Positive mechanical shaft speed for this operating point.
Decision boundary: this worksheet does not determine torque from current alone and does not evaluate starting/locked-rotor,transient,pulsating,air-gap or electromagnetic torque. It is not valid for unbalanced,distorted or converter-PWM quantities without an applicable measurement and loss method,and it does not size a motor,drive,shaft,coupling or protection system.

Equations,units and scope

BaseEquationsRequired evidence
Documented shaft outputω=2πn/60
T=Pout·1000/ω
Pout in kW and n in r/min at the same steady operating point.
Balanced sinusoidal three-phase electrical stateS=√3 ULL IL/1000
Pin=λS
Pout=ηPin
T=Pout·1000/ω
Line-to-line RMS voltage,line RMS current,true power factor,efficiency and shaft speed for the same state.

T is in N·m,ω in rad/s,and powers are in kW. The mechanical relation is general engineering arithmetic,not an “ISO torque-from-current formula.” For the electrical route,current is only one of five required measured or documented operating quantities.

Standards and source boundary

IEC Electropedia IEV 141-03-11 gives active power for a symmetric sinusoidal three-phase system. IEV 131-11-46 defines power factor as active power divided by apparent power. IEV 411-53-08 defines machine efficiency as output active power divided by input active power.

IEC 60034-1:2026,Edition 15 is the current rotating-machine rating/performance standard. IEC 60034-2-1:2024,Edition 3 covers standard methods for determining losses and efficiency from tests for most mains-fed machines. IEC 60034-2-3:2024,Edition 2 provides specific test methods for converter-fed AC motors. Exact clauses,test corrections and applicability are NEEDS_LICENSED_SOURCE unless the licensed documents and the test setup are available.

IEC 61800-2:2021,Edition 3 treats an adjustable-speed AC power drive as a complete system;generic constant-torque or field-weakening claims were therefore not used to infer torque. The SI unit relations follow the BIPM SI Brochure,9th edition.

Interpretation safeguards

  • A current reading includes components that do not uniquely specify converted mechanical power. Voltage,true power factor,efficiency and speed must all apply to the same state for the electrical estimate.
  • Nameplate efficiency or power factor at rated conditions may not represent a part-load,overload,temperature,frequency or converter-fed operating point.
  • The direct basis is preferred when shaft output power has been established by an applicable torque/power test. Nameplate rated kW is a capacity/rating,not proof of actual output at an arbitrary current.
  • Average shaft torque excludes torque ripple,torsional oscillation,acceleration torque and instantaneous electromagnetic torque.
  • Measurement uncertainty can dominate the displayed numerical precision. Preserve the source readings and uncertainty;do not treat extra digits as extra accuracy.

O que foi corrigido

The former page was titled “torque from current,”preloaded voltage,current,speed,power factor and efficiency,and supplied four unverified motor presets. It accepted power factor or efficiency above one in JavaScript,used a rounded 9549 factor,and presented generic starting-torque and VFD behavior as universal guidance.

The replacement starts blank,requires a source and state record,strictly accepts decimal point or decimal comma,and rejects nonfinite,nonpositive or out-of-range dimensionless values. It separates direct mechanical power from the conditional electrical estimate,uses P/ω without a rounded constant,and gives no starting,drive-control,air-gap or protection result.

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