Gearbox Motor Torque Calculator

Calculate gearbox torque with losses and load factors. Compare motor power, output speed, and margins. Use exported reports for practical electrical design checks quickly.

Calculator

Example Data Table

Motor Power Speed Ratio Efficiency Service Factor Output Torque
1.5 kW 1450 rpm 25:1 92% 1.25 227.23 N·m
3 hp 1750 rpm 30:1 88% 1.40 342.23 N·m
750 W 960 rpm 15:1 90% 1.10 100.70 N·m

Formula Used

Motor torque: Tm = 9550 × PkW / nm

Output speed: nout = nm / G

Output torque: Tout = Tm × G × η

Usable rated torque: Tusable = Tout / (service factor × safety factor)

Factored load demand: Tdemand = Tload × service factor × safety factor

Torque margin: Margin = (Tout - Tdemand) / Tdemand × 100

Tangential force: F = Tout / r

How to Use This Calculator

  1. Enter the motor power from the nameplate or datasheet.
  2. Select the matching power unit.
  3. Enter motor speed in revolutions per minute.
  4. Enter the selected gearbox ratio.
  5. Enter gearbox efficiency as a percentage.
  6. Add service and safety factors for duty conditions.
  7. Enter load torque, target speed, or radius when known.
  8. Press Calculate, then export CSV or PDF when needed.

Gearbox Motor Torque Guide

A gearbox motor torque calculation checks how a motor behaves after speed reduction. It links motor power, motor speed, gear ratio, gearbox efficiency, and duty factors. The calculator uses these values to estimate input torque, output speed, output torque, usable rated torque, and force at a driven radius. It also compares available torque with a known load torque.

Why Torque Changes

A gearbox trades speed for torque. When the ratio increases, output speed falls. Output torque rises by the same ratio, but only before losses. Real gearboxes lose power through friction, oil drag, bearing load, and gear mesh heat. Efficiency accounts for those losses. A worm gearbox may need a lower efficiency value. A helical or planetary gearbox may use a higher value.

Design Factors

Service factor adjusts the result for shocks, starts, stops, and duty hours. Safety factor adds an extra reserve. These factors do not create more torque. They reduce the torque that should be treated as safely usable. This is important when a conveyor starts loaded, a mixer sees uneven material, or a hoist must avoid overload.

Power and Speed

Motor power and speed define motor shaft torque. A low speed motor creates more shaft torque at the same power. A high speed motor needs a larger ratio to reach slow output speed. The output power is lower than input power because efficiency removes losses. The output speed is motor speed divided by gear ratio.

Using the Result

Start with nameplate motor power and rated speed. Enter the selected gearbox ratio. Use measured or catalog efficiency when possible. Add a realistic service factor. Use a safety factor for uncertainty. Enter load torque if it is known. Then compare usable torque with load torque. A positive margin suggests the selection may work. A negative margin means the motor, ratio, or gearbox rating should be reviewed.

Engineering Notes

Torque calculators support early sizing. They do not replace manufacturer ratings. Check thermal limits, shaft loads, bearing life, duty cycle, lubrication, mounting position, brake loads, and start frequency. Also confirm that the gearbox rated torque exceeds the calculated design demand. For critical equipment, verify results with test data and approved electrical design practice before final purchase approval.

FAQs

What is gearbox output torque?

Gearbox output torque is the torque available at the gearbox shaft. It equals motor torque multiplied by ratio and efficiency. Losses reduce the ideal torque value.

Why is gearbox efficiency important?

Efficiency accounts for friction and heat losses inside the gearbox. Lower efficiency reduces output torque and output power. It can also increase thermal stress.

What is service factor?

Service factor adjusts torque selection for duty severity. Starts, stops, shock load, long running hours, and vibration may need higher service factors.

Does a higher gear ratio always help?

A higher ratio increases torque and lowers speed. It may also reduce efficiency, increase gearbox size, and add thermal limits. Check catalog ratings.

Can I use horsepower instead of kilowatts?

Yes. Select hp as the power unit. The calculator converts horsepower to kilowatts before applying the torque formulas.

What does torque margin mean?

Torque margin compares estimated available torque with factored load demand. A positive margin suggests reserve. A negative margin suggests undersizing.

Why enter driven radius?

Driven radius converts output torque into tangential force. This helps with pulleys, wheels, drums, sprockets, and similar rotating loads.

Is this calculator enough for final design?

No. Use it for early sizing and checks. Always confirm manufacturer ratings, duty cycle, mounting, lubrication, shaft load, and thermal limits.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.