kW to Torque

Get shaft torque in newton-metres, pound-feet and kilogram-force metres from power and speed.

Sizing the electrical supply for the same machine? Use the kVA to kW calculator.

kW to Torque Calculator

T = 9549.3 × kW ÷ rpm
90 kW
kW
3,000 rpm
rpm
Quick values

At a glance

T = 9549.3 × kW ÷ rpm
Torque
286.48 N·m
Power
90 kW
Speed
3,000 rpm

Every diagram and table on this page updates with the calculator above.

Output

Live
Torque
286.48N·m
T = (9549.3 × 90 kW) ÷ 3,000 rpm = 286.48 N·m
In pound-feet211.3 lb·ft
In kilogram-force metres29.21 kgf·m

The Power to Torque Formula

T = 9549.3 × kW ÷ rpm

Result in newton-metres; multiply by 0.7376 for lb·ft or 0.10197 for kgf·m.

Speed is not optional. The same 90 kW produces 859 N·m at 1,000 rpm and 143 N·m at 6,000 rpm — a sixfold difference from one missing number.

The conversion

Live
Input90kW
Result286.48N·m
Power and speed to torque

Torque Units Around the World

Newton-metre (N·m)
SI standard. One newton acting at one metre from the axis. Used almost universally in engineering.
Pound-foot (lb·ft)
North American convention. One pound-force at one foot. Roughly 1.356 N·m.
Kilogram-force metre (kgf·m)
Older metric unit still seen on Japanese and some European equipment. Exactly 9.80665 N·m.

All three describe the same twisting effort; only the reference force and distance change. Torque wrenches are commonly marked in two of them, which is where mistakes creep in.

Same torque, three units

Live
Newton-metres286.48 N·m
Pound-feet211.3 lb·ft
Kilogram-force metres29.21 kgf·m

The Torque–Speed Trade-off

Every point on this curve represents the same power. Real engines and motors follow their own characteristics, but the constant-power hyperbola sets the ceiling they work beneath.

This is why peak torque and peak power occur at different engine speeds: torque usually falls at high rpm, but rising speed keeps power climbing until the fall outpaces it.

Torque–speed curve

Live
Speed (rpm)Torque (N·m)
3,000 rpm286.5 N·m
Constant-power curve with your operating point

Torque Across the Speed Range

Your power figure converted to torque at speeds from idle to redline.

Speed chart

Live
rpmTorque (N·m)Torque (lb·ft)
500 rpm1,718.91,267.8
750 rpm1,145.9845.18
1,000 rpm859.44633.89
1,500 rpm572.96422.59
2,000 rpm429.72316.94
2,500 rpm343.77253.56
3,000 rpm286.48211.3
3,500 rpm245.55181.11
4,000 rpm214.86158.47
5,000 rpm171.89126.78
6,000 rpm143.24105.65
7,000 rpm122.7890.56
8,000 rpm107.4379.24

Engines, Induction Motors and Electric Drives

Combustion engine

Torque peaks in the mid range and falls away at both ends. Needs a gearbox to stay near its useful band.

Induction motor

Near-constant torque up to base speed, then constant power in the field-weakening region above it.

Electric traction motor

Full torque from zero rpm, which is why electric vehicles accelerate hard from rest without a multi-speed gearbox.

The constant-power hyperbola in the diagram above applies to all three — what differs is how much of that curve each machine can actually reach.

Torque against speed

Live
859,436.7018,000Speed (rpm)
3,000 rpm286.48 N·m
Torque across the whole speed range at your power

Torque for Every Power and Speed

A quick reference when you are comparing machines quoted at different speeds.

Torque lookup grid

Live
N·m for each kW × rpm combination
kW1,000 rpm2,000 rpm3,000 rpm4,500 rpm6,000 rpm
15 kW14372483224
30 kW286143956448
60 kW57328619112795
90 kW859430286191143
150 kW1,432716477318239
250 kW2,3871,194796531398
400 kW3,8201,9101,273849637

Every Power Converter in One Place

29 calculators built on the same maths as the tool above. Each one has its own inputs, interactive diagrams and worked examples.

View all converters

kW to Torque Questions

Common questions about converting kw to torque.

Use T = 9549.3 × kW ÷ rpm for newton-metres. You must know the shaft speed.

0.7376 lb·ft. Going the other way, 1 lb·ft is 1.3558 N·m.

Power is torque multiplied by speed. Torque usually falls at high rpm, but the rising speed keeps power climbing until the fall outpaces it.

Kilogram-force metre, an older metric unit equal to 9.807 N·m, still seen on some Japanese and European specifications.

No. Work rate is power, which needs both torque and speed. High torque at low speed can still mean modest power.

Electric traction motors deliver full torque from zero rpm, whereas a combustion engine has to reach its torque band first.

Related Converters

Tools that use the same inputs or answer the next question.

kVA to kW ConverterkW = kVA × PFkW to NmN·m = 9549.3 × kW ÷ rpmkW to RPMrpm = 9549.3 × kW ÷ N·mkW to HPhp = kW × 1.34102kW to BHPbhp = kW × 1.34102All convertersBrowse every calculator