Interactive sizing tool + engineering guide
12V DC Motor Low Speed High Torque
Size power, running supply current and reduction ratio from loaded output RPM and torque.
Reviewed · Coreless Motor Lab
Your sizing result starts here
Calculate a running load point, then compare gearbox limits, thermal evidence and control options below.
Example only: 800 mNm at 30 RPM needs 2.513 W mechanical output. At assumed 65% overall efficiency, estimated 12V running supply current is 0.3222 A.
Request help with unknown inputsFour decisions before selecting a motor
Use the loaded operating point
Slow gearbox output can coexist with a fast motor rotor. Separate motor speed from output speed.
Technical evidenceBudget the complete drive
Running supply power depends on motor, controller and gearbox efficiency at the same operating point.
Technical evidenceTreat thermal capability as unknown
Running power alone cannot establish winding temperature, jam tolerance or an allowable duty cycle.
Technical evidenceVerify torque and motion separately
A reducer has mechanical limits. Removing iron cogging does not guarantee uniform loaded output motion.
Technical evidenceMethod: what the calculator can establish
This is a steady running-point estimator for rotating geared DC/BLDC drives on a nominal 12V bus. It does not select a product or certify a drive. Values remain unrounded internally; the display uses four significant digits. Formula basis.
| Output | Equation | Required assumption |
|---|---|---|
| Shaft power (W) | P_out = (T_mNm / 1,000) × 2π × RPM / 60 | Torque and speed occur together at the output shaft. |
| Running input power (W) | P_in = P_out / η_overall | Overall motor × driver × gearbox efficiency is an input, not inferred from topology. |
| Running supply current (A) | I_supply = P_in / 12 | Nominal 12V supply; excludes startup, regeneration and off-state power. |
| Ratio reference | i = n_motor / n_output | Use loaded motor speed. A no-load entry is explicitly a reference. |
| Motor torque (mNm) | T_motor = T_out / (i × η_gear) | Separate gearbox efficiency required; no acceleration or inertia included. |
| Combined losses (W) | P_loss = P_in − P_out | Loss location and winding temperature remain unknown. |
Choose reduction from loaded speed, then check the gearhead
For an assumed loaded motor speed of 8,000 RPM and a target of 30 RPM, the kinematic reference is 266.7:1. A catalog motor’s no-load speed cannot establish this loaded point. The selected gearhead must also satisfy continuous and peak output torque, maximum input speed, backlash and life requirements. Transmission equations.
More stages can add losses, but there is no universal stages-to-ratio mapping or fixed per-stage efficiency. Use a measured efficiency curve for the exact reducer. maxon efficiency guidance.
Compare the efficiency assumption before sizing the supply
Sensitivity example: fixed 800 mNm at 30 RPM (2.513 W output) and 12V. These are calculated scenarios, not measured product results. The same shaft task can need very different input power. Operating-point dependence.
| Assumed total efficiency | Input power (W) | Running supply current (A) | Combined losses (W) |
|---|---|---|---|
| 35% | 7.181 | 0.5984 | 4.668 |
| 50% | 5.027 | 0.4189 | 2.513 |
| 65% | 3.867 | 0.3222 | 1.353 |
| 80% | 3.142 | 0.2618 | 0.6283 |
Operating duty is recorded for the RFQ. Do not scale the driver rating or permitted torque directly by on-time percentage; phase/armature current and startup can dominate component stress.
Request an efficiency and load reviewThermal and stall limits require model-specific evidence
Winding Joule heating uses RMS winding current squared times winding resistance. A PWM supply-current estimate cannot replace winding-current measurement. Ambient temperature and on-time percentage alone are insufficient to infer coil temperature or a safe stall interval. maxon heating explanation.
| Known from this tool | Still unknown | Minimum next action |
|---|---|---|
| Requested running speed and torque | Actual armature/phase current and ripple | Measure the selected drive at load with its intended controller. |
| Ambient temperature entered by user | Winding limit, thermal resistance and mounting conduction | Obtain the exact winding data and test the actual enclosure. |
| Operating on-time percentage | Cycle duration, startup count and cooling between runs | Provide the complete time-load profile, including holding and braking. |
| Nominal 12V bus | Current limit and fault shutdown response | Validate jam protection against supplier overload limits. |
A slow reducer output does not mean a slow rotor. Cooling architecture varies; many miniature motors rely on conduction and natural convection. No fan-speed cooling curve or universal 130°C winding limit is assumed here.
Low-speed motion: cogging, feedback and PWM are separate checks
A coreless ironless rotor avoids magnetic iron cogging; the gearbox and control loop still affect output smoothness. Ask for a speed trace under the real pulsating load, including starts and reversals. Coreless construction.
PWM design depends on winding inductance, resistance, back EMF and driver behavior. Measure ripple and heating instead of treating an ultrasonic frequency as automatic approval. Back EMF follows motor-rotor speed, not geared output speed. Portescap PWM analysis.
Encoder resolution must be stated as cycles or decoded counts. For example, 16 decoded counts per motor revolution with a 100:1 reducer gives 1,600 counts per output revolution; gearbox backlash remains outside that motor-side measurement.
Compare architectures by the test each requires
| Architecture | Potential fit | Cost or limitation | Verification |
|---|---|---|---|
| Coreless DC + planetary | Compact mechanisms where rotor cogging matters | Brush life, reducer cost and gearbox ripple remain | Loaded motion trace, commutator current and life test. |
| Iron-core DC + spur | General rotation with cost-sensitive packaging | Detent torque, backlash and audible mesh may matter | Startup current, speed regulation and noise test. |
| DC + worm | Right-angle packaging and high reduction | Friction and backdriving depend on actual geometry and lubrication | Efficiency and verified holding/brake behavior. |
| BLDC + planetary | Applications seeking to remove brush maintenance | Controller, sensing and integration add cost | Loaded startup, phase current and low-speed control. |
| Stepper alternative | Indexing or holding with a suitable driver | Holding heat and dynamic torque require a separate model | Use a driver-specific torque-speed curve; excluded from this calculator. |
These are application-screening inferences from drive efficiency guidance, rotor construction and control considerations. Supplier curves and tests determine suitability.
One traceable 12V reference, with continuous and stall data separated
The example is Pololu #4745, a 37D metal gearmotor; it is a reference, not a Coreless Motor Lab product or a recommendation for your load. Values checked 2026-10-22. Open the original specification.
| Parameter | Published value | Interpretation |
|---|---|---|
| Supply / exact reduction | 12V / 102.083:1 | Ratio does not establish loaded speed. |
| No-load output / current | 100 RPM / 0.2 A | Unloaded condition only. |
| Continuous applied-load recommendation | 10 kgf·cm ≈ 0.9807 Nm | Family guidance; also check operating current and speed. |
| Instantaneous torque recommendation | 25 kgf·cm ≈ 2.452 Nm | Not a sustained load or guaranteed permitted duration. |
| Extrapolated stall torque / current | 34 kgf·cm / 5.5 A | Theoretical endpoint, not a usable operating rating. |
kgf·cm denotes torque using standard gravity: 1 kgf·cm = 0.0980665 Nm. No continuous rating is inferred for other diameters or brands. Their torque, bearing loads and life remain unknown until a specific datasheet is supplied.
Try three illustrative load cases
These are hypothetical design inputs, not customer installations or measured success claims. Each preset assumes loaded motor speed and an efficiency for exploration; final motion, thermal and life performance remain unverified.
Metering drive
12 RPM · 450 mNm · 100% operating duty
Assume 6000 RPM loaded motor speed and 55% overall efficiency.
500:1 reference; test pulsating tube load and low-speed regulation. Flow accuracy is unknown.
Camera pan
5 RPM · 750 mNm · 50% operating duty
Assume 3000 RPM loaded motor speed and 60% overall efficiency.
600:1 reference; measure output backlash and start-stop jitter. Pointing accuracy is unknown.
Valve actuator
20 RPM · 950 mNm · 25% operating duty
Assume 4000 RPM loaded motor speed and 45% overall efficiency.
200:1 reference; measure breakaway torque separately and define jam shutdown. Holding load is unknown.
Mechanical loads, purchasing risks and minimum mitigations
| Risk | Why the estimate cannot resolve it | Minimum mitigation / alternative |
|---|---|---|
| Misuse: motor jam or stall | Running current does not predict a safe overload interval | Specify hardware current limiting and validated jam shutdown. |
| Mechanics: belt or cantilever load | Torque / pulley radius gives belt tension difference, not complete radial load | Supply geometry, pretension and overhang; verify rated loads or use external shaft support. |
| Cost: high ratio or precision reducer | Stages, backlash, controller and support costs are product-dependent | Compare complete drive quotations; consider a larger direct drive if space permits. |
| Scene mismatch: load holding | A worm topology is not a verified holding specification | Obtain a holding rating and test it; use an independently rated brake when required. |
| Life and cold start | Lubricant, brush wear, temperature and cycle history are unspecified | Ask for allowed lubricant/temperature range and application-specific endurance testing. |
Questions to resolve before ordering
Sizing and interpretation
What does low speed high torque mean for a 12V DC motor?
Specify a loaded output speed and running torque together, such as 30 RPM at 800 mNm. Voltage alone establishes neither. Check the motor, reducer and controller at that load point.
How much power is 800 mNm at 30 RPM?
Using P = T × 2πn/60 gives 2.513 W of mechanical output. At an assumed 65% overall efficiency and 12V, estimated running supply current is 0.3222 A. This is an energy estimate, not a measured winding or starting current.
Can I size a reducer from no-load motor speed?
Only as a reference. Dividing no-load speed by target output speed gives a ratio reference that generally overstates loaded output speed. Use the candidate motor’s loaded curve and available gear ratios for final selection.
Why is gearbox efficiency separate from overall efficiency?
Gearbox efficiency relates motor-shaft power to output-shaft power. Overall efficiency also includes the motor and controller. Use gearbox efficiency in T_motor = T_out / (ratio × η_gear); use overall efficiency for supply-power estimates.
Can I use this result to select the driver current rating?
Running supply current is only a starting energy budget. Driver selection needs phase or armature current, startup, braking, supply transients and hardware current limiting. A PWM driver’s supply current can differ from winding current.
Thermal limits and motion quality
Can the calculator tell me a safe stall duration?
No. Thermal resistance, winding resistance, initial temperature, controller current limit and thermal time constants are unknown. Obtain a model-specific overload curve and validate protective shutdown before testing a jam.
Does 25% operating duty allow four times the torque?
No. Duty percentage alone omits cycle length, startup losses, off-state current and cooling. RMS winding current can inform a thermal model; gearbox peak limits still apply during every pulse.
Does a 5 RPM output imply almost zero back EMF?
No. Back EMF depends on motor-rotor speed. A reducer can produce a slow output while its motor runs at thousands of RPM. Low rotor speed at fixed applied voltage is a different operating condition.
Does a coreless motor guarantee perfectly smooth output?
No. Removing rotor iron eliminates iron cogging, while brush commutation, gearbox errors, friction, load disturbances and speed-loop tuning can still cause ripple. Measure loaded output motion at the required speed.
Should every motor driver use a fixed 20 kHz PWM setting?
No universal frequency is established here. Select PWM using winding inductance, resistance, bus voltage, ripple and driver losses, then verify it with the motor and controller suppliers.
Mechanics and purchasing
Is extrapolated stall torque a continuous torque rating?
No. The documented 37D example separately lists continuous-load recommendations and theoretical stall extrapolation. A stall figure is not a usable continuous operating point or a holding-load guarantee.
Can I infer safe shaft load from bearing type?
No. You need the exact assembly’s radial and axial ratings, load distance, speed and life target. For a belt, torque divided by pulley radius gives tension difference; bearing radial load also depends on pretension and belt geometry.
Can a worm reducer replace a holding brake?
Do not infer a holding guarantee from ratio or topology. Ask the supplier to verify backdriving under lubrication, wear, vibration and external load. Use a separately rated brake when the application requires verified load holding.
Can I substitute a stepper for a geared DC motor?
A stepper is an alternative for indexing, but it needs its own torque-speed curve and driver thermal assessment. This calculator models rotating geared DC/BLDC drives; it does not estimate stepper phase or holding current.
Sources, dates and evidence boundaries
Published . Primary manufacturer sources checked on 2026-10-22. Source publication dates are stated where available; access date is not a new publication date. Formulas and explicitly labeled scenarios are separate from catalog data. No generic life, noise, safe temperature or bearing-load ratings are asserted.
- Pololu: 100:1 Metal Gearmotor 37Dx57L mm 12V, item #4745
Exact ratio, no-load performance, extrapolated stall data and 37D load recommendations; these values apply to this family only.
- maxon: On the efficiency of drive components (2024)
System efficiency depends on the operating point; gearhead stage count alone does not establish efficiency.
- maxon: On the heating of motors (updated 2024-08-29)
Winding Joule losses, RMS load and controller-related heating; no universal safe stall duration.
- Portescap: Controlling brushed DC motors using PWM
PWM frequency, winding inductance, back EMF and ripple must be considered together.
- Portescap: Brushed DC motor basics, ironless rotor construction
Ironless rotor construction removes iron cogging; complete-drive smoothness still requires testing.
- maxon academy: Formulae Handbook
Mechanical power, transmission ratio and gear efficiency relations; equations describe a load point, not a qualified product.
Send a load specification for engineering review
The inquiry includes the latest calculated inputs and assumptions. Add breakaway torque, on/off durations, mounting drawing, shaft loads, backlash tolerance and quantity. With no result, use the blank specification below. Email delivery requires your email app.
Preview / copy the inquiry specification
Hello Coreless Motor Lab Engineering Team, Please review this 12V low-speed, high-torque drive application. Target output speed (RPM): Running and breakaway torque (mNm): Duty cycle, on/off durations and ambient temperature: Thermal, stall, bearing and lifetime suitability remain unverified. Please confirm loaded speed/torque curves, current limits, gearbox ratings, radial/axial loads, mounting, backlash and validation tests. Envelope, quantity and cycle duration:
