Tire Rolling Resistance Calculator

Calculate rolling resistance with electrical load insight. Review force, torque, power, current, and energy use. Improve tire choices and range planning with clear results.

Calculator Inputs

Base vehicle mass in kg.
Passengers, cargo, and added load in kg.
Typical road tire values may be 0.008 to 0.015.
Vehicle speed in km/h.
Use 0 for level road.
Radius in meters.
Used for load per tire.
Used for torque per driven tire.
Percent from battery to wheel.
Electrical pack voltage in volts.
Distance in km.
Cost per kWh.
Default is standard gravity.

Example Data Table

Case Total Mass Crr Speed Grade Rolling Force Wheel Power
Efficient commuter EV 1,720 kg 0.010 90 km/h 0% 168.7 N 4.22 kW
Loaded delivery van 2,700 kg 0.013 70 km/h 2% 344.2 N 6.69 kW
Utility cart on rough tires 730 kg 0.035 25 km/h 0% 250.6 N 1.74 kW

Formula Used

Total mass: m = vehicle mass + payload mass

Road angle: θ = arctan(grade ÷ 100)

Normal force: N = m × g × cos(θ)

Rolling force: Frr = Crr × N

Wheel power: Pwheel = Frr × v

Battery input power: Pin = Pwheel ÷ efficiency

Battery current: I = Pin ÷ V

Energy use: Wh/km = Pin ÷ speed in km/h

Tire torque: T = Frr × loaded tire radius

How to Use This Calculator

  1. Enter the vehicle mass and payload mass.
  2. Add the rolling resistance coefficient for the tire and surface.
  3. Enter speed, road grade, tire radius, and tire counts.
  4. Add drivetrain efficiency and battery voltage.
  5. Enter trip distance and energy price for trip cost.
  6. Press Calculate to view force, power, current, torque, and energy.
  7. Use CSV or PDF export to save the result.

Why rolling resistance matters

Tire rolling resistance is the force lost while a tire deforms and recovers on the road. It may look small, yet it runs every second the vehicle moves. Electric vehicles feel it strongly because it converts battery energy into heat. A lower coefficient can improve range, reduce motor load, and make trip estimates more stable.

This calculator focuses on the rolling part only. It does not include aerodynamic drag, braking loss, bearing friction, or accessory power. That separation is useful during tire studies. It helps you see how load, pressure choice, road grade, and speed affect one loss channel. When you later add drag, you get a clearer full vehicle model.

Electrical view

For an electric drivetrain, rolling force becomes wheel power. Power is force multiplied by road speed. The tool then divides wheel power by drivetrain efficiency. That gives estimated battery input power. Battery current is input power divided by pack voltage. These values help size conductors, check inverter demand, and compare tire choices.

Speed does not change rolling force directly in this simplified method. It changes power because the same force acts over more distance each second. Energy per kilometer stays near constant when efficiency is fixed. Trip energy rises with distance, load, and coefficient.

Better inputs, better decisions

Use measured mass when possible. Include passengers, cargo, tools, and trailer tongue load if they are carried by the tires. Select a coefficient that matches the tire and surface. Efficient road tires may have a low value. Off-road or underinflated tires may have a higher value. Grade changes the normal force through the road angle.

The torque result uses rolling force and tire radius. It shows how much tire torque is needed just to overcome rolling resistance. Per-drive-tire torque divides that value by the selected driven tires. This is not total launch torque. Acceleration and slope-climbing torque must be added separately.

Practical use

Run a baseline first. Then change one input at a time. Compare low rolling resistance tires, heavier loads, or slower routes. Export results when you need a study record. The example table gives starting data. Replace it with your measured values for final design. Document assumptions so later comparisons remain fair always.

FAQs

What is tire rolling resistance?

It is the force needed to keep tires rolling under load. It comes from tire deformation, road contact, and heat losses. Higher values need more power and reduce vehicle range.

What does Crr mean?

Crr means rolling resistance coefficient. It is a dimensionless value. Lower Crr means the tire wastes less energy while rolling under the same normal force.

Does speed change rolling force?

In this simplified model, speed does not change rolling force. Speed changes power because power equals force times velocity. Real tires may show small speed effects.

Why is this in an electrical category?

The calculator converts tire rolling force into wheel power, battery power, current, and energy use. These values help with electric vehicle range and drivetrain checks.

What coefficient should I enter?

Use measured tire data when available. Efficient road tires may be near 0.008 to 0.012. Rough surfaces, soft tires, or off-road tires often need higher values.

Does this include aerodynamic drag?

No. It only estimates rolling resistance. Add aerodynamic drag, hill climbing force, acceleration force, and accessory loads for a full vehicle power model.

Why does grade affect normal force?

Grade changes the road angle. The tire normal force becomes mass times gravity times cosine of that angle. This calculator applies that adjustment.

Can I export the result?

Yes. After calculation, use the CSV or PDF buttons above the form. They download the same result table for records or comparison work.

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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.