Electric Motor Horsepower Calculator

Calculate shaft horsepower, input power, torque, current, voltage, efficiency, motor sizing, energy use, losses, and operating costs for AC and DC motors.

Single-phase AC Three-phase AC DC motors Torque and RPM Reverse calculations CSV and PDF export

Motor Calculation Inputs

Select a mode. The form reveals the relevant inputs automatically.

Preset selection offers suggested sizing values.

Motor Comparison Tool

Compare annual energy consumption and cost for two motors.

Motor A

Motor B

Example Data Table

Reference examples for common motor calculations.

ExampleMotor TypeInputsEfficiencyResult
1Single-phase AC230 V, 10 A, PF 0.8585%2.23 hp
2Three-phase AC460 V, 10 A, PF 0.8590%8.18 hp
3DC motor120 V, 15 A88%2.12 hp
4Torque and speed50 N·m, 1750 RPMNot needed12.29 hp
5Current estimate10 hp, 460 V, 3-phase, PF 0.8590%11.90 A
6Motor sizing8 hp load, SF 1.15, 10% marginNot needed15 hp standard size
7Energy cost20 hp, 75% load, 4,000 h/year92%48,633 kWh/year
8Horsepower conversion25 hpNot needed18.6425 kW
9Kilowatt conversion7.5 kWNot needed10.06 hp
10Torque estimate15 hp, 1750 RPMNot needed61.04 N·m

Formula Used

Single-Phase AC

HP = V × I × PF × η ÷ 745.6999

Three-Phase AC

HP = √3 × V × I × PF × η ÷ 745.6999

DC Motor

HP = V × I × η ÷ 745.6999

Torque and RPM

HP = Torque in N·m × RPM ÷ 7121.0

Current from Horsepower

Rearrange the selected AC or DC horsepower equation.

Motor Efficiency

Efficiency = mechanical output power ÷ electrical input power.

Motor Sizing

Required HP = load HP × service factor × safety allowance.

Energy Input

Input kW = shaft HP × 0.7456999 × load fraction ÷ efficiency.

Power factor belongs in AC input calculations. Efficiency converts electrical input into estimated shaft output. Do not multiply by efficiency when estimating required electrical input from known shaft horsepower.

How to Use This Calculator

  1. Select the calculation mode matching the motor and unknown value.
  2. Enter nameplate or measured voltage, current, speed, torque, and efficiency.
  3. Use line voltage and line current for three-phase calculations.
  4. Enter power factor as 0.85 or 85. Both formats are accepted.
  5. Select units for voltage, current, torque, and rotational speed.
  6. Choose the desired number of decimal places.
  7. Press the calculation button and review every derived result.
  8. Export the result to CSV, PDF, print, or clipboard.

Use measured values when possible. Nameplate values describe rated operation. Actual values change with load, voltage, temperature, and motor condition.

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Electric Motor Horsepower Guide

What Motor Horsepower Means

Horsepower describes a motor’s mechanical output rate. It does not directly equal electrical input. Motor losses make input power larger than shaft power.

Input and Output Power

Electrical input enters the motor terminals. Mechanical output leaves the shaft. Efficiency connects these values and accounts for total losses.

Single-Phase Motors

Single-phase motors use voltage, current, power factor, and efficiency. They often serve smaller pumps, fans, tools, and household equipment.

Three-Phase Motors

Three-phase power includes the square-root-of-three factor. Use line voltage and line current unless a phase-specific calculation is required.

DC Motors

Basic DC input power equals voltage multiplied by current. Multiply by efficiency to estimate available mechanical shaft power.

Power Factor

Power factor compares real power with apparent power. A lower power factor requires more current for the same useful real power.

Motor Efficiency

Efficiency changes with motor size and load. Premium motors can reduce annual losses where operating hours and electricity prices are high.

Torque and Speed

Power depends on torque multiplied by angular speed. High torque at low speed can equal low torque at high speed.

Motor Sizing

Size motors for the real load, starting duty, ambient conditions, service factor, and operating cycle. Excessive oversizing can reduce efficiency.

Starting Conditions

Starting current may greatly exceed running current. Heavy inertia or loaded starts can require special controls and a suitable torque curve.

Energy Cost

Annual cost depends on input kilowatts, operating hours, loading, efficiency, and electricity price. Small efficiency gains can become significant.

Nameplate Verification

Always compare calculated values with the motor nameplate, manufacturer documentation, applicable codes, and measured operating conditions.

Motor Loss Analysis

Copper lossCurrent flowing through winding resistance creates heat.
Core lossMagnetic hysteresis and eddy currents consume energy.
Mechanical lossBearings, friction, seals, and windage reduce output.
Stray lossLeakage flux and load effects create additional losses.

This calculator reports total estimated loss from input and output power. A detailed loss split requires manufacturer test data or measured motor parameters.

Frequently Asked Questions

How do I calculate horsepower for a three-phase motor?

Multiply line voltage, line current, power factor, efficiency, and the square root of three. Divide the result by 745.6999 watts per mechanical horsepower.

Should efficiency be entered as 90 or 0.90?

Either format works. Values greater than one are interpreted as percentages. A value of 90 becomes 0.90 internally.

What voltage should I use for a three-phase motor?

Use line-to-line voltage with line current in the standard three-phase formula. Phase values require a different arrangement.

Why is calculated horsepower lower than electrical horsepower?

Motor efficiency is below 100 percent. Winding, magnetic, mechanical, and stray losses reduce usable shaft output.

Does a DC motor need power factor?

No. Basic DC power equals voltage multiplied by current. Power factor applies to alternating-current circuits.

Can this calculator select a breaker or cable?

No. Breaker, conductor, overload, and disconnect sizing depend on electrical codes, motor tables, starting current, installation conditions, and local rules.

What is the difference between horsepower and torque?

Torque measures twisting force. Horsepower measures the rate of doing work. Speed connects them through angular motion.

Is a larger motor always safer?

No. Excessive oversizing can increase cost, reduce efficiency, and create control problems. Size the motor for load and duty requirements.

Motor and Power Glossary

AC motorA motor powered by alternating current.
Air gapThe space between stator and rotor magnetic surfaces.
Ambient temperatureThe surrounding air temperature near the motor.
Angular speedRotational speed expressed in radians per second.
Apparent powerVoltage-current product measured in volt-amperes.
ArmatureA winding or rotating component where voltage is induced.
Back EMFVoltage generated by rotation that opposes applied voltage.
BearingA component supporting the shaft and reducing friction.
Breakdown torqueMaximum torque before an induction motor stalls.
BrushA sliding electrical contact used in some motor designs.
Brushless DC motorAn electronically commutated permanent-magnet motor.
Capacitor-start motorA single-phase motor using a starting capacitor.
Continuous dutyOperation long enough to reach thermal equilibrium.
Copper lossResistive winding loss proportional to current squared.
Core lossMagnetic loss from hysteresis and eddy currents.
CurrentElectric charge flow measured in amperes.
DC motorA motor powered from direct current.
Delta connectionThree windings connected end-to-end in a triangle.
DemandElectrical power required at a particular time.
Duty cycleThe pattern of operating and resting periods.
EfficiencyMechanical output divided by electrical input.
Electrical horsepowerA power unit equal to 746 watts by convention.
EnergyPower accumulated over time, commonly measured in kWh.
EnclosureMotor housing style protecting internal components.
Frame sizeStandardized motor mounting and shaft dimensions.
FrequencyAlternating-current cycles per second, measured in hertz.
Full-load ampsCurrent drawn near rated load and rated voltage.
Full-load torqueTorque produced at rated power and speed.
HorsepowerA mechanical power unit equal to about 745.7 watts.
Hysteresis lossCore energy lost during magnetic field reversal.
Induction motorAn AC motor with rotor current induced magnetically.
Insulation classThermal capability category for winding insulation.
Intermittent dutyOperation involving repeated load and rest intervals.
Inverter dutyMotor suitability for variable-frequency drive operation.
KilowattOne thousand watts of power.
Kilowatt-hourEnergy used by one kilowatt during one hour.
Line currentCurrent flowing in a supply conductor.
Line voltageVoltage measured between supply lines.
Load factorAverage load divided by peak or rated load.
Locked-rotor currentCurrent drawn when the rotor cannot turn.
Locked-rotor torqueTorque developed when the rotor is stationary.
Mechanical horsepowerExactly 550 foot-pounds per second.
Metric horsepowerA power unit equal to 735.49875 watts.
Motor slipDifference between synchronous and rotor speed.
NameplateManufacturer label listing rated motor information.
NEMA designMotor torque and starting characteristic classification.
Newton-meterSI unit of torque.
Output powerUseful mechanical power delivered at the shaft.
OverloadOperation above a motor's allowable thermal loading.
Phase currentCurrent within an individual three-phase winding.
Phase voltageVoltage across an individual motor phase winding.
PowerRate of energy transfer or work.
Power factorReal power divided by apparent power.
Premium efficiencyA high-efficiency motor classification.
Reactive powerNon-working AC power measured in VAR.
Real powerAverage useful electrical power measured in watts.
RotorThe rotating magnetic or current-carrying motor element.
Service factorAllowed loading multiplier under stated conditions.
Shaft powerMechanical power available at the motor shaft.
Single-phaseAn AC supply with one alternating voltage system.
Slip frequencyRotor electrical frequency related to induction slip.
Soft starterA controller reducing starting voltage and current.
SpeedRate of shaft rotation.
Stall torqueTorque available at zero shaft speed.
Starting currentCurrent drawn while accelerating from rest.
StatorThe stationary magnetic structure and winding.
Synchronous speedMagnetic field speed set by frequency and pole count.
Temperature riseMotor temperature above ambient during operation.
Three-phaseAn AC system using three phase-shifted voltages.
TorqueRotational force applied about a shaft.
Torque constantTorque produced per ampere in a motor.
Variable-frequency driveA controller adjusting motor frequency and voltage.
VoltUnit of electrical potential difference.
Volt-ampereUnit of apparent AC power.
Voltage balanceSimilarity of three phase-to-phase voltages.
WattSI unit of power equal to one joule per second.
WindingInsulated conductors creating a motor magnetic field.
Wye connectionThree windings joined at a common neutral point.
Windage lossMechanical loss from moving air or gas.
WorkForce acting through a distance.
RPMRevolutions completed during one minute.
RPSRevolutions completed during one second.
Rad/sAngular velocity measured in radians per second.
Power densityPower relative to motor mass or volume.
Thermal limitMaximum allowable motor temperature condition.
Insulation resistanceResistance between windings and grounded motor parts.
Voltage unbalanceUnequal line voltages in a three-phase system.
Current unbalanceUnequal phase currents under operating load.
No-load currentCurrent used while the shaft delivers minimal load.
No-load lossMotor losses measured without significant shaft output.
Peak torqueHighest short-duration torque available.
Rated torqueTorque corresponding to rated power and rated speed.
Rated currentCurrent specified for rated operating conditions.
Rated voltageSupply voltage specified for normal operation.
Rated frequencySupply frequency specified for normal operation.
Pole countNumber of magnetic poles determining synchronous speed.
Thermal protectorDevice responding to excessive motor temperature.
Overload relayDevice protecting a motor from sustained overcurrent.
ContactorElectrically controlled switch used for motor power.
DisconnectMeans of isolating motor electrical power.
Shaft keyMechanical feature transmitting torque to attached equipment.
CouplingComponent connecting the motor shaft to a load.
GearmotorA motor integrated with a speed-reduction gearbox.
RegenerationReturning mechanical energy to the electrical system.
Braking torqueTorque that opposes shaft rotation.
Dynamic brakingElectrical method converting motion energy into heat.
Regenerative brakingBraking that returns energy to the supply.
CommutationSwitching current among motor windings.
EncoderSensor reporting speed, direction, or shaft position.
ResolverRotary transformer sensor for angular position.
Hall sensorMagnetic sensor often used for rotor position.
Cogging torqueTorque ripple caused by magnetic position preference.
Torque ripplePeriodic variation in developed torque.
HarmonicFrequency component at a multiple of the fundamental.
Total harmonic distortionCombined harmonic content relative to the fundamental.
Crest factorPeak waveform value divided by RMS value.
RMS currentEffective current value producing equivalent heating.
RMS voltageEffective voltage value producing equivalent heating.
Apparent efficiencyA simplified efficiency inferred from available measurements.
Load profilePower or torque demand changing over time.
Base speedSpeed below which a drive maintains rated torque.
Field weakeningOperation above base speed using reduced magnetic flux.
Constant torque loadA load requiring nearly constant torque across speed.
Variable torque loadA load whose torque often changes with speed squared.
Constant power loadA load requiring similar power across a speed range.
Affinity lawsRelationships for fan or pump flow, pressure, and power.
Pump curveGraph relating pump head, flow, and efficiency.
Fan curveGraph relating airflow, pressure, and power.
Compressor loadMechanical demand created by gas compression.
InertiaResistance of rotating mass to speed change.
Acceleration timeTime needed to reach operating speed.
Deceleration timeTime needed to slow from operating speed.
Duty pointOperating condition where equipment and system curves meet.
Shaft alignmentCollinearity of coupled rotating shafts.
MisalignmentOffset or angle error between coupled shafts.
VibrationOscillating mechanical motion used in condition monitoring.
Bearing currentUnwanted electrical current passing through bearings.
GroundingConnection intended to control fault and common-mode voltage.
ShieldingConductive protection reducing electromagnetic interference.
Common-mode voltageVoltage shared by conductors relative to ground.
Carrier frequencyDrive switching frequency used to synthesize output.
Switching lossPower lost during semiconductor switching.
Motor deratingReducing allowable output for adverse conditions.
Altitude deratingOutput reduction due to lower air density at altitude.
Ambient deratingOutput reduction due to elevated surroundings.
Enclosure ratingProtection level against solids, water, and environment.
Ingress protectionIP code describing enclosure resistance to intrusion.
Totally enclosed fan cooledMotor enclosure cooled by an external fan.
Open drip proofVentilated motor design limiting falling liquid entry.
Explosion-proofEnclosure designed for specified hazardous locations.
Hazardous locationArea containing potentially ignitable substances.
S1 dutyIEC continuous running duty classification.
S2 dutyIEC short-time duty classification.
S3 dutyIEC intermittent periodic duty classification.
S4 dutyIEC intermittent duty including starting.
S5 dutyIEC intermittent duty including electric braking.
S6 dutyIEC continuous operation with periodic load changes.
S7 dutyIEC continuous duty with starting and braking.
S8 dutyIEC continuous duty with periodic speed changes.
S9 dutyIEC duty with non-periodic load and speed changes.
S10 dutyIEC duty with discrete constant loads and speeds.

Engineering Notes and Limitations

This calculator estimates steady-state power. It does not replace motor tests, protection studies, conductor sizing, short-circuit analysis, or code-compliant engineering design.

Actual motor performance depends on supply quality, winding temperature, rotor slip, load profile, harmonic content, cooling, enclosure, altitude, service factor, mechanical condition, and manufacturer tolerances. Variable-frequency drives may introduce harmonic current, switching loss, reduced cooling at low speed, and voltage stress.

For safety-critical equipment, verify the result with the motor nameplate and manufacturer curves. A qualified electrical professional should confirm protection, wiring, controls, grounding, and installation requirements.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.