Robot Speed Calculator

Compute robot velocity from RPM and wheel size. Include gearing, efficiency, slip, acceleration, and braking. Optimize drive settings for smoother, safer, predictable machine movement.

Calculator Inputs

Use the responsive grid below. Large screens show three columns, medium screens show two, and mobile devices show one.

Example: enter 12 for a 12:1 reduction.

Example Data Table

Scenario Motor RPM Gear Ratio Wheel Diameter Efficiency Slip Effective Speed Travel Time for Path
Warehouse AMR 3000 12:1 150 mm 88% 3% 1.61 m/s 74.58 s for 120 m
Inspection Rover 1800 18:1 200 mm 84% 5% 0.84 m/s 95.24 s for 80 m
Delivery Platform 2400 10:1 180 mm 90% 2% 1.99 m/s 75.38 s for 150 m

Formula Used

1. Wheel RPM
Wheel RPM = Motor RPM ÷ Gear Ratio

2. Wheel Circumference
Circumference = π × Wheel Diameter

3. Ideal Linear Speed
Ideal Speed (m/s) = (Wheel RPM × Circumference) ÷ 60

4. Effective Speed
Effective Speed = Ideal Speed × Efficiency × (1 − Slip Loss) × (1 − Load Derating)

5. Travel Time
Travel Time = Distance ÷ Effective Speed

6. Average Acceleration
Average Acceleration = Effective Speed ÷ Acceleration Time

7. Estimated Stopping Distance
Stopping Distance = (Effective Speed × Braking Time) ÷ 2

8. Angular Turning Rate
Turning Rate (deg/s) = (Effective Speed ÷ Turn Radius) × 180 ÷ π

How to Use This Calculator

  1. Enter the motor RPM for your drive motor.
  2. Provide the gearbox reduction as a simple ratio value.
  3. Enter wheel diameter and select the correct unit.
  4. Set drivetrain efficiency, slip loss, and load derating percentages.
  5. Add the travel distance you want the robot to cover.
  6. Enter optional acceleration time, braking time, and turn radius.
  7. Press Calculate Robot Speed to show the results above the form.
  8. Use the CSV and PDF buttons to save the result summary.

Frequently Asked Questions

1. What does this robot speed calculator estimate?

It estimates wheel RPM, ideal speed, corrected speed, travel time, acceleration distance, stopping distance, and optional turning rate using your drivetrain inputs.

2. Why is gear ratio important?

Gear ratio converts motor speed to wheel speed. A higher reduction lowers wheel RPM, usually improves torque, and reduces linear travel speed.

3. What is slip loss?

Slip loss represents traction losses between the wheel and the surface. Higher slip means the robot travels slower than the ideal no-loss estimate.

4. What does load derating mean?

Load derating lets you reduce expected speed for payload weight, rough floors, low battery conditions, or conservative operating limits.

5. Can I use inches or feet?

Yes. The calculator converts common wheel, distance, and turn-radius units to meters before applying the formulas.

6. Is the braking distance exact?

No. It is an estimate based on the entered braking time and constant deceleration. Real systems may vary due to control logic and surface conditions.

7. When should I enter turn radius?

Enter turn radius when you want the calculator to estimate angular turning rate. Leave it at zero if straight-line motion is your focus.

8. Can this help compare drive configurations?

Yes. Change wheel size, gear ratio, or losses, then recalculate. The result table above the form makes side-by-side testing easier.

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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.