Electric Motors - Torque vs. Power and Speed (2024)

Electric motor output power and torque vs. rotation speed.

Electric Motors - Torque vs. Power and Speed (1)

  • Work is the result of a force acting over some distance. Work is quantified in joules (Nm) or foot-pounds.
  • Torque is a rotating force produced by a motor’s crankshaft. The more torque the motor produces, the greater is its ability to perform work. Since torque is a vector acting in a direction it is commonly quantified by the units Nm or pound-feet.
  • Power is how rapidly work is accomplished - work in a given amount of time. Power is quantified in watts (J/s) or horse power.

Note that the driving force of an electric motor is torque - not horsepower. The torque is the twisting force that makes the motor running and the torque is active from 0% to 100% operating speed.

The power produced by the motor depends on the speed of the motor and is

  • zero at 0% speed, and
  • normally at it's top at operating speed

Electric Motors - Torque vs. Power and Speed (2)

Note ! - the full torque from zero speed is a major advantage for electric vehicles.

For full table - rotate the screen!

Electric Motors - Torque vs. Power and Speed
PowerMotor Speed (rpm)
3450200017501000500
Torque
hp kW (lbf in)
(lbf ft)
(Nm) (lbf in) (lbf ft) (Nm) (lbf in) (lbf ft) (Nm) (lbf in) (lbf ft) (Nm) (lbf in) (lbf ft) (Nm)
10.75181.52.1322.63.6363.04.1635.37.112610.514.2
1.51.1272.33.1473.95.3544.56.1957.910.718915.821.4
21.5373.04.1635.37.1726.08.112610.514.225221.028.5
32.2554.66.2957.910.71089.01218915.821.437831.542.7
53.7917.61015813.118180152031526.33663052.571
7.55.6137111523620272702331473395394579107
107.518315213152636360304163053711260105142
1511274233147339535404561945791071891158214
201536530416305371720608112601051422521210285
2519457385278866899007510215761311783151263356
302254846629457910710809012218911582143781315427
403073161831260105142144112016325212102855042420570
5037913761031576131178180115020431512633566302525712
60451096911241891158214216118024437813154277563630855
705212791071452206184249252121028544123684998823735997
80601461122165252121028528812403265042420570100848401140
90671644137186283623632132412703665672473641113449451282
1007518271522073151263356360130040763025257121260510501425
1259322831902583939328445450237550978786578911575613131781
150112274022831047273945345402450611945478810691890715762137
1751313197266361551546062363025257121102991912472205818382494
20014936543044136302525712720360081412605105014252521021012850
22516841103434657090591801810367591614180118216032836123633206
250187456738151678786578919003750101815756131317813151226263562
275205502441956886667229809904825112017332144419593466328893918
30022454804576209454788106910804900122118907157621373781431514275
3502616394533723110299191247126051050142522058183824944411736764987
40029873076098261260510501425144051200162825210210128505041942025699
45033682216859291418011821603162061351183228361236332065672247276412
5504101004783711361733214441959198081651223934663288939186932657777837
6004481096191312391890715762137216081801244337814315142757562963028549

Electric Motors - Torque vs. Power and Speed (3)

Electrical Motor Power, Velocity and Torque Equations

Torque in Imperial units can be calculated as

See Also
Nm To Lbs Calculator | Newton-meters And Foot-pounds ConverterTorque to hp Calculator

T inlb = P hp 63025 / n (1)

where

T inlb = torque (in lbf )

P hp = horsepower delivered by the electric motor (hp)

n = revolution per minute (rpm)

Alternatively

T ftlb = P hp 5252 / n (1b)

where

T ftlb = torque (lbf ft)

  • 1 ft lbf = 1.356 Nm

Torque in SI units can be calculated as

T Nm = P W 9.549 / n (2)

where

T Nm = torque (Nm)

P W = power (watts)

n = revolution per minute (rpm)

  • Torque - Work done and Power transmitted

Electric Motor - Torque vs. Power and Speed

  • 1 hp = 0.746 kW - power converter
  • 1 lb ft = 1.355 Nm - torque converter

Electric Motor - Power vs. Torque and Speed

Electric Motor - Speed vs. Power and Torque

Electric Motors - Torque vs. Power and Speed (4)

Example - Torque from an Electrical Motor

The torque delivered from an electrical motor producing 0.75 kW (750 W) at speed 2000 rpm can be calculated as

T = ( 750 W ) 9.549 / (2000 rpm)

= 3.6 (Nm)

Example - Torque from an Electrical Motor

The torque delivered from an electrical motor producing 100 hp at speed 1000 rpm can be calculated as

T = (100 hp) 63025 / (1000 rpm)

= 6303 < (lbf in)

To convert to pound-force foot - divide the torque by 12 .

  • Car engine torque

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    Electrical engineering with units, amps and electrical wiring. Wire gauges, electrical formulas, motors and more.

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Electric Motors - Torque vs. Power and Speed (2024)
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