Rolling Resistance Coefficient Calculator

Estimate tire losses with load, grade, and speed. Compare drive power for cleaner range planning. Export coefficient results for reports, audits, and vehicle studies.

Calculator

Use m/s².
Use percent. Downhill can be negative.
Use percent.
Use kW.
Use kg/m³.
Use m².

Example Data Table

Vehicle or Surface Mass Coefficient Speed Expected Rolling Force
Efficient road tire 1500 kg 0.008 60 km/h 117.68 N
Typical passenger tire 1500 kg 0.012 60 km/h 176.52 N
Rough industrial floor 2500 kg 0.025 12 km/h 612.92 N

Formula Used

Normal force: N = m × g × cos(θ)

Rolling force: Frr = Crr × N

Coefficient from force: Crr = Frr ÷ N

Coastdown estimate: Crr = (m × a - Fdrag - Fgrade) ÷ N

Aerodynamic drag: Fdrag = 0.5 × ρ × Cd × A × v²

Grade force: Fgrade = m × g × sin(θ)

Electrical power: Pe = (Ftotal × v ÷ efficiency) + auxiliary load

Here, m is mass, g is gravity, θ is road angle, and v is speed.

How To Use This Calculator

  1. Select the calculation mode.
  2. Enter vehicle mass, speed, distance, and road grade.
  3. Enter either a known coefficient, measured force, or deceleration.
  4. Add efficiency, voltage, and auxiliary load for electrical planning.
  5. Choose whether to include aerodynamic drag.
  6. Press Calculate to view the result above the form.
  7. Use CSV or PDF buttons to export the same input case.

Understanding Rolling Resistance

Rolling resistance is the force that resists wheel motion. It comes from tire flex, road texture, bearing losses, and small surface deformation. Electric vehicles feel this loss strongly because steady cruising uses limited battery energy. A lower coefficient means less force is needed to keep the vehicle moving.

Why The Coefficient Matters

The rolling resistance coefficient, often written as Crr, links normal load to rolling force. It has no unit. A small change can shift range, motor load, current draw, and heat. For example, a soft tire can raise the value. A rough floor can do the same. Heavy cargo also increases normal force, so the rolling force rises even when Crr stays constant.

Electrical Planning Uses

This calculator is useful when sizing motors, batteries, inverters, and wiring. It converts rolling force into mechanical power. It then estimates electrical power after efficiency losses. The voltage field helps estimate current. That current can guide fuse, conductor, and controller checks. It is not a substitute for certified design, but it gives a strong planning estimate.

Testing And Inputs

You can enter a known coefficient, a measured rolling force, or coastdown deceleration. The coastdown method estimates resistance from how fast speed falls. It can also subtract aerodynamic drag. That option helps when tests are done at higher speed. Low speed tests usually reduce air drag effects.

Grades And Surfaces

Road grade changes the total road force. Uphill grade adds force. Downhill grade can reduce required drive power. Surface choice also matters. Smooth concrete, asphalt, gravel, grass, and soft soil can produce very different results. Use measured data when accuracy matters.

Reading The Results

The result table shows coefficient, force, power, energy, and estimated current. Rolling power is only the tire related part. Total road power may include grade and aerodynamic drag. Electrical power includes efficiency and optional auxiliary load. Compare scenarios by changing load, speed, grade, or tire pressure. Export the results when documenting tests. Use conservative assumptions for real equipment. Always verify final choices with field measurements and safety standards.

For repeatable testing, record tire pressure, temperature, surface condition, and vehicle weight. Use the same route when comparing tires. Small notes prevent misleading comparisons later during future maintenance reviews.

FAQs

What is rolling resistance coefficient?

It is a unitless value that links normal force to rolling force. Lower values mean the wheel needs less force to keep moving on the same surface.

Can this calculator be used for electric vehicles?

Yes. It estimates rolling force, road power, electrical power, energy use, and current. These outputs help with early motor and battery planning.

What value should I use for Crr?

Use measured data when possible. Efficient road tires may be near 0.006 to 0.010. Rough surfaces, soft tires, or small wheels may be much higher.

Why does mass change rolling force?

More mass increases normal force. Since rolling force equals coefficient times normal force, a heavier vehicle needs more rolling force at the same coefficient.

Should I include aerodynamic drag?

Include it for medium or high speed tests. At very low speed, rolling resistance may dominate, and aerodynamic drag may be small enough to ignore.

What does coastdown mode do?

It estimates coefficient from measured deceleration. The method works best on calm days, level routes, known mass, and steady test conditions.

Why is my coefficient negative?

A negative result usually means one input is inconsistent. Check grade direction, deceleration, drag settings, speed, mass, and measured force.

Is this suitable for final electrical design?

Use it for planning and comparison. Final designs should also use field tests, safety margins, equipment ratings, and applicable electrical standards.

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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.