Electric Motors - Torque vs. Power and Speed

Calculate and compare torque, power, and speed relationships for electric motors. Includes imperial and SI unit conversions with reference data tables for common motor ratings.

Electric Motors - Torque vs. Power and Speed

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 power. The torque is the twisting force that makes the motor run and the torque is active from 0% to 100% operating speed. The power produced by the motor is zero at zero speed.

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

Equations

Torque in Imperial units:

  • T(lbf·in) = P(hp) × 63025 / n(rpm)
  • T(lbf·ft) = P(hp) × 5252 / n(rpm)
  • 1 ft·lbf = 1.356 Nm

Torque in SI units:

  • T(Nm) = P(W) × 9.549 / n(rpm)

Conversions:

  • 1 hp = 0.746 kW
  • 1 lb·ft = 1.355 Nm
Calculator

Inputs

Results

Torque-- Nm
Torque-- lbf·ft
Torque-- lbf·in
Power-- hp
Power (kW)Motor Speed (rpm)Torque (lbf·in)Torque (lbf·ft)Torque (Nm)
12000181.52.1
11750211.72.4
110003634.1
15007268.1
1.52000272.33.1
1.51750322.63.6
1.51000544.56.1
1.5500108912.2
220003734.1
21750423.54.8
210007268.1
25001441216.3
32000554.66.2
31750635.37.1
31000108912.2
35002161824.4
52000917.610.3
517501058.811.9
510001801520.3
55003603040.7
7.5200013711.415.5
7.5175015713.117.8
7.5100027022.530.5
7.55005404561
10200018315.220.6
10175021017.523.7
1010003603040.7
105007206081.4
15200027422.830.9
15175031526.235.5
1510005404561
15500108090122
20200036530.441.2
2017504203547.4
2010007206081.4
205001440120162.8
25200045738.151.6
25175052543.859.3
25100090075101.8
255001800150203.5
30200054845.761.9
30175063052.571.2
301000108090122
305002160180244.1