Torque to Amp Hour Calculator

Convert torque demand into practical battery capacity estimates. Compare speed, runtime, voltage, and reserve settings. Download results and plan electric systems with confidence today.

Calculator

Formula Used

Power method:

Angular speed = 2 × π × RPM ÷ 60

Mechanical power = Torque × Angular speed

Electrical power = Mechanical power ÷ Efficiency

Current = Electrical power ÷ Voltage

Amp hours = Current × Runtime hours × Duty cycle × Reserve factor

Torque constant method:

Current per motor = Adjusted torque ÷ Torque constant

Amp hours = Total current × Runtime hours × Duty cycle × Reserve factor

How to Use This Calculator

  1. Enter the torque required by one motor.
  2. Select the matching torque unit.
  3. Enter shaft speed and runtime.
  4. Add battery voltage and expected efficiency.
  5. Use duty cycle for part-time operation.
  6. Add reserve for losses, aging, and safety.
  7. Choose the torque constant method if you know motor Kt.
  8. Press calculate to show the result above the form.
  9. Download the result as CSV or PDF when needed.

Example Data Table

Application Torque Speed Runtime Voltage Efficiency Duty Reserve Estimated Ah
Small actuator 3.5 N m 600 RPM 0.5 h 24 V 80% 70% 20% 4.81 Ah
E-bike hill assist 18 N m 250 RPM 1.25 h 48 V 86% 60% 25% 11.24 Ah
Conveyor drive 45 N m 120 RPM 2 h 36 V 82% 75% 30% 41.09 Ah

Torque to Amp Hour Planning Guide

Why Torque Needs More Inputs

Torque demand is a mechanical value. Amp hour demand is an electrical storage value. The bridge between them is power. This calculator estimates that bridge with practical battery planning inputs. It suits motors, actuators, small vehicles, tools, robotics, and rotating drive projects.

Torque Conversion and Load Factor

The first step is torque conversion. The tool converts the selected unit into newton meters. It then applies a load factor. This factor covers friction, starting drag, gear losses, and real field resistance. A value above one adds extra demand. A value of one keeps the entered torque unchanged.

Speed and Mechanical Power

The second step is speed. Torque alone cannot define energy use. A slow shaft and a fast shaft can need very different power. The calculator changes RPM or radians per second into angular speed. Mechanical power is then torque multiplied by angular speed. More speed or more torque raises power directly.

Electrical Demand

The third step is electrical demand. Motors are not perfect. Controllers, wiring, bearings, gears, heat, and magnetic losses consume energy. Efficiency converts shaft power into required electrical power. Lower efficiency increases current draw. Higher voltage reduces current for the same power, but it does not remove the energy requirement.

Runtime, Duty Cycle, and Reserve

Runtime and duty cycle create the amp hour estimate. Runtime is the total time window. Duty cycle is the active portion of that window. A motor that runs half the time should not be treated like one that runs continuously. The safety reserve then adds extra capacity. Reserve helps cover aging cells, cold weather, voltage sag, and unexpected load spikes.

Using Motor Torque Constant

The torque constant method is useful when motor data is known. Torque constant is listed as newton meters per amp. In that method, current equals torque divided by torque constant. It is often helpful for servo and brushless motor sizing. The power method is better when speed, voltage, and efficiency are the main known values.

Practical Battery Sizing

Use the answer as a sizing estimate, not a final engineering guarantee. Battery chemistry, discharge rate, pack age, controller limits, cooling, cable size, and peak torque can change the real result. A battery may have enough amp hours but still fail to deliver peak current safely. Always compare the calculated current with battery and controller ratings.

Better Input Choices

For better results, enter average working torque for normal running. Use load factor for hard starts and rough conditions. Use realistic efficiency from the motor datasheet. Choose a reserve that matches the risk of stopping early. For critical equipment, test the system under real load. Measurement is the best final check.

Reviewing the Output

The output includes mechanical watts, electrical watts, current, amp hours, watt hours, and capacity margin. CSV export helps save rows for spreadsheets. PDF export gives a compact report for clients, teams, or maintenance logs.

Design Workflow

A good workflow is simple. Start with the required shaft torque. Enter the working speed, not only the no-load speed. Add the expected run time. Then choose a duty cycle that matches the real job. Review the current first. Current affects cable heat, fuse size, switch rating, and controller stress. Review amp hours second. Amp hours estimate how long the pack can support that draw.

Comparing Battery Packs

Watt hours are also important. They make voltage comparisons easier. A 24 volt pack and a 48 volt pack may show different amp hour values for similar energy. Watt hours show the stored energy more directly. This helps compare battery packs across different voltages. Plan with measured data.

FAQs

1. Can torque be converted directly to amp hours?

Not directly. Torque needs speed, runtime, voltage, efficiency, and duty cycle. These values connect mechanical demand to battery capacity.

2. Why does speed matter?

Speed changes power. The same torque at higher RPM needs more watts. More watts usually means more current and more amp hours.

3. What is the power method?

The power method calculates mechanical power from torque and speed. It then adjusts for efficiency and voltage to estimate current and amp hours.

4. What is the torque constant method?

This method uses motor torque constant. Current equals torque divided by torque constant. It is useful when accurate motor data is available.

5. What efficiency value should I enter?

Use the motor and drive efficiency from the datasheet. If unknown, small systems often use rough values between 75% and 90%.

6. What does duty cycle mean?

Duty cycle is the percent of time the motor is active. A 50% duty cycle means the motor runs half the selected runtime.

7. Why add safety reserve?

Reserve helps cover battery aging, temperature changes, voltage sag, extra friction, and unexpected load increases during real operation.

8. Is amp hour the same as watt hour?

No. Amp hour depends on voltage. Watt hour shows energy more directly because it multiplies amp hours by battery voltage.

9. Can I use this for an electric bike?

Yes, for estimates. Use realistic wheel or motor torque, speed, voltage, efficiency, runtime, and duty cycle values.

10. Can I use this for robotics?

Yes. It is useful for robot wheels, arms, lifts, and actuators. Use measured working torque when possible.

11. Why is my current very high?

High torque, high speed, low voltage, low efficiency, or a large load factor can raise current sharply.

12. What is load factor?

Load factor increases torque for real conditions. It can cover friction, startup loads, rough surfaces, gear losses, and overload margin.

13. Should I size only by amp hours?

No. Also check peak current, continuous current, voltage range, battery chemistry, controller limits, cable rating, and heat.

14. Are the results exact?

No. They are planning estimates. Real results depend on motor data, battery condition, controller behavior, load changes, and environment.

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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.