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Catalog-style humanoid robot actuator sourcing for prototypes, pilot builds, and OEM programs.

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Humanoid actuator sizing tool

Actuator Power Density Limits in Humanoid Robotics

Calculate actuator W/kg and estimate conversion heat at your operating point.

Calculate actuator power densitySee the humanoid actuator selection guide

Published September 25, 2026 · Evidence reviewed October 11, 2026.

Actuator power density calculator

Live estimate: mechanical output divided by assembly mass. Adjust the values below to update the result.

Input parameters

1.5 kg

Range: 0.1–10 kg. Include the same installed components that belong in the comparison, such as motor, gearbox, drive electronics, cooling, and mounts.

300 W

Range: 10–10,000 W. Use a manufacturer rating or measured output under the intended continuous operating conditions.

900 W

Range: 50–10,000 W. Use a documented short-time rating and record its duration, repetition rate, voltage, and cooling conditions.

85%

Range: 50–98%. The 85% starting value is an editable example, not a benchmark. Replace it with measured efficiency for the stages included in your system boundary.

Live result

Output per selected assembly mass.

Continuous

200.0

W/kg

Peak

600.0

W/kg

Estimated conversion loss at continuous output
At 85% efficiency, estimated input is 352.9 W and conversion loss is 52.9 W. This assumes continuous output is mechanical shaft power and efficiency covers the same system boundary.

Interpretation

These ratios are screening calculations, not a performance grade or a physical limit. Compare them only with ratings that use the same assembly mass, output point, duration, and cooling conditions.

Review assumptions and boundaries

What the result means

Match the mass boundary
Specific output is power divided by the mass you enter. Include the same parts in both values when comparing designs: motor, gearbox, drive electronics, cooling, and mounts as appropriate.
Keep peak and continuous separate
A peak rating is meaningful only with its duration and operating conditions. Continuous output depends on the thermal path, cooling, ambient temperature, and the permitted component temperature.
Public data has limits
Public humanoid specifications often report torque or payload, not output power per actuator mass. Do not convert those values into W/kg without a matching speed and mass boundary.

Calculation method and boundaries

The calculator uses mechanical output power at the chosen rating point. For a rotating shaft, derive that power from torque and angular speed; then divide by the mass of the assembly you chose.

Three steps for calculating actuator specific powerMeasure shaft torque and speed to calculate mechanical output power, divide by the declared assembly mass, and compare only ratings with matching duration and thermal conditions.1 · Output powerTorque × angular speedP = τω (W)2 · Declare massChoose what is includedm (kg)3 · Compare fairlyP / m = specific powerMatch duration + cooling
A W/kg value is only comparable when the output definition, included mass, rating duration, and cooling conditions are stated.
Heat estimate
For mechanical output power Pout and an overall efficiency η, estimated conversion loss is Pout × (1/η − 1). This is a screening estimate at one operating point, not a temperature prediction. Use a measured efficiency for the same system boundary and operating condition.
What this tool does not predict
It does not calculate winding temperature, safe duty cycle, gearbox life, battery runtime, or whole-robot acceleration. Those require component curves, thermal resistance, control limits, load profiles, and the robot’s mass distribution.

What current public specifications actually show

Manufacturer and research disclosures reviewed 11 October 2026. These are source-reported figures, not independent tests.

DisclosurePublished metricValid use and limitation
Unitree H1 / M107360 N·m maximum torque; 1.9 kg motor mass; 189 N·m/kg torque-to-mass ratio.This is torque density, not power density. A torque-speed operating point and a matching assembly mass are needed to calculate W/kg.
Boston Dynamics AtlasThe product page lists 50 kg instantaneous and 30 kg sustained weight capacity.Payload capacity is not actuator output power. The public product page does not give actuator mass-specific power.
QDD hip exoskeleton studyReports a 3.4 kg bilateral exoskeleton design and evaluates its task-specific system.A wearable device’s total mass and test conditions are not interchangeable with a humanoid joint actuator rating.

The public figures above do not support a universal ranking of humanoid actuators by W/kg. In particular, torque per mass cannot be relabeled as power per mass, and a robot payload rating cannot be used as actuator output power.

Design risks and next checks

RiskWhy it changes the resultNext check
Mass boundary mismatchA bare motor and an installed joint assembly have different denominators.Record whether gearbox, inverter, cooling, housing, and mounts are included.
Peak rating overreachA short burst does not establish repeatable or continuous output.Record peak duration, repetition rate, voltage, speed, and temperature limit.
Thermal margin assumptionEstimated conversion loss alone does not reveal component temperature.Measure temperatures through the intended duty cycle and cooling setup.

Before selecting an actuator, request its torque-speed curve and continuous/peak rating conditions. Then calculate with the installed joint mass and verify temperature under the robot’s expected motion profile.

For the broader architecture and sourcing sequence, read the humanoid actuator procurement guide. To review available module families, see the humanoid robot actuator catalog.

Frequently asked questions

How is actuator power density calculated?

Divide mechanical output power in watts by the declared actuator assembly mass in kilograms. For a rotating shaft, power is torque multiplied by angular speed; torque alone is not enough.

Can I convert N·m/kg directly to W/kg?

No. The same torque can produce different power at different shaft speeds. You need torque and speed measured at the same operating point, plus a clearly defined mass boundary.

Why can peak and continuous power differ so much?

Peak ratings are limited by short-term electrical, magnetic, mechanical, and thermal constraints. Continuous ratings also depend on heat rejection and temperature limits. Compare the stated duration, duty cycle, voltage, cooling, and ambient conditions before using either rating.

Is the example efficiency a standard actuator value?

No. The displayed starting value is only an editable example. Replace it with measured efficiency for the operating point and stages included in your system boundary.

Does the estimated heat loss prove the actuator is thermally safe?

No. It estimates conversion loss from the selected efficiency; it does not model winding, magnet, bearing, or housing temperature. Validate the intended duty cycle with a thermal model or measurement.

What should I ask a supplier for?

Ask for a torque-speed curve, continuous and peak rating conditions, peak duration, efficiency map, thermal limits, and mass breakdown for the installed assembly.

Related actuator engineering resources

  • Humanoid robot actuator selection and RFQ guide
  • Humanoid robot actuator module catalog
  • Actuator supplier procurement checklist

Apply the method to your joint

Update the example with measured output, assembly mass, and efficiency, then use the result as a screening estimate.

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