What is a typical rolling resistance coefficient?

For passenger car tires on asphalt, C_rr is typically 0.008-0.012. Low rolling resistance tires achieve 0.005-0.007. Bicycle road tires range from 0.003-0.005, while railroad steel wheels on rails are about 0.001.

How does rolling resistance affect fuel economy?

Rolling resistance accounts for 15-25% of total vehicle energy consumption at highway speeds. Reducing C_rr by 10% can improve fuel economy by roughly 1-2%. For city driving at lower speeds, the contribution is even higher.

Does tire pressure affect rolling resistance?

Yes, significantly. Higher pressure reduces tire deformation, lowering rolling resistance. However, over-inflation reduces traction and ride comfort. The optimal pressure is usually listed on the vehicle door jamb.

What is the difference between rolling and sliding friction?

Rolling resistance (typically C_rr = 0.01-0.02) is much lower than sliding friction (μ = 0.3-0.8). This is why wheels were invented — they convert sliding into rolling, reducing energy loss dramatically.

How does surface type affect rolling resistance?

Soft or rough surfaces dramatically increase rolling resistance. Sand can have 5× the resistance of smooth asphalt because the tire sinks into the surface, creating a larger deformation zone. Gravel and dirt roughly double the resistance.

Is rolling resistance the same for all tires on a vehicle?

Not necessarily. Front and rear tires may carry different loads (especially in rear-engine or front-engine vehicles), and turning tires experience additional scrub resistance. Alignment also affects rolling resistance.

Rolling Resistance Calculator

Calculate rolling resistance force F = C_rr × N for vehicles. Includes tire type and surface material comparison, grade resistance, power requirements, and per-tire force breakdown.

Vehicle Mass

Tire Type

Surface Type

Speed

Unit

Road Grade

Number of Tires

Rolling Resistance Force

147.15 N

C_rr = 0.0100

Grade Resistance Force

0.00 N

Grade: 0%

Total Resistance

147.15 N

Rolling + Grade

Power (Rolling Only)

4,087.50 W

5.48 HP

Force per Tire

36.79 N

4 tires

Normal Force

14,715.00 N

Weight: 14,715 N

Force Breakdown

Rolling Resistance147.2 N

Grade Resistance0.0 N

Tire Type Comparison

Tire Type	C_rr	Effective C_rr	Force (N)	Power (W)
Low rolling resistance	0.006	0.0060	88.3	2,452.5
Standard passenger car	0.01	0.0100	147.2	4,087.5
SUV / Truck tire	0.015	0.0150	220.7	6,131.3
Off-road / Mud tire	0.02	0.0200	294.3	8,175.0
Bicycle (road)	0.004	0.0040	58.9	1,635.0
Bicycle (mountain)	0.012	0.0120	176.6	4,905.0
Railroad steel wheel	0.001	0.0010	14.7	408.8

Planning notes, formulas, and examples

About the Rolling Resistance Calculator

Rolling resistance is the force opposing the motion of a wheel rolling on a surface. It arises from the deformation of the tire and road surface at the contact patch, internal friction within the tire material, and aerodynamic drag of the spinning tire. The rolling resistance force is calculated as F = C_rr × N, where C_rr is the coefficient of rolling resistance and N is the normal force (equal to the vehicle weight on flat ground).

Understanding rolling resistance is critical for vehicle efficiency, tire selection, and range estimation for electric vehicles. A lower C_rr means less energy wasted as the tires roll, directly improving fuel economy or battery range. For heavy vehicles like trucks and trains, rolling resistance is the dominant force at low speeds, while aerodynamic drag dominates at high speeds.

This calculator determines rolling resistance force, grade resistance, power required, and provides tire-type and surface-type comparisons. It helps engineers, cyclists, and EV enthusiasts understand how tire and surface choices affect energy consumption.

When This Page Helps

Rolling resistance depends on multiple factors — tire construction, inflation pressure, surface roughness, vehicle weight, and road grade — that interact in ways difficult to compute mentally. This calculator combines all these factors, provides standardized C_rr values for common tire and surface types, and shows the power required to overcome rolling resistance at any speed.

How to Use the Inputs

Enter the vehicle mass in kilograms.
Select a tire type from the dropdown (each shows its C_rr coefficient).
Select the road surface type (each shows a multiplier factor).
Enter the vehicle speed and select the unit (km/h, mph, or m/s).
Optionally enter road grade percentage and number of tires.
Use preset buttons for common vehicles (sedan, SUV, bicycle, train).
Compare tire types in the comparison table to see how tire choice affects force and power.

Formula used

Rolling Resistance Force:
  F_rr = C_rr × N
  N = mg × cos(θ) (normal force on a grade)

Grade Resistance:
  F_grade = mg × sin(θ)
  θ = arctan(grade%/100)

Power to Overcome Rolling Resistance:
  P = F_rr × v

Where:
  C_rr = coefficient of rolling resistance
  m = vehicle mass (kg)
  g = 9.81 m/s²
  v = velocity (m/s)

Example Calculation

Result: F_rr = 147.2 N, P = 4088 W (5.5 HP)

A 1500 kg car on standard tires (C_rr = 0.01) on smooth asphalt has normal force N = 1500 × 9.81 = 14,715 N. Rolling resistance F = 0.01 × 14,715 = 147.2 N. At 100 km/h (27.78 m/s), power = 147.2 × 27.78 ≈ 4088 W or about 5.5 HP.

Tips & Best Practices

Proper tire inflation reduces rolling resistance significantly — underinflated tires can increase C_rr by 20-30%.
Low rolling resistance (LRR) tires can improve fuel economy by 3-5% compared to standard tires.
Rolling resistance is roughly constant with speed, while aerodynamic drag increases with the square of speed.
For electric vehicles, lower rolling resistance directly translates to extended battery range.
Wider tires generally have similar rolling resistance to narrow tires if both are at optimal pressure.
Temperature affects rolling resistance — cold tires have higher C_rr until they warm up.

The Physics of Rolling Resistance

Rolling resistance arises from hysteresis in the tire material. As the tire deforms at the contact patch, some of the energy used to deform it is not recovered when the tire springs back — it is converted to heat. This is why tires warm up during driving. The rubber compound, tire construction (radial vs bias-ply), tread depth, and sidewall stiffness all contribute to the overall rolling resistance coefficient.

Rolling Resistance vs. Speed

While the basic formula F = C_rr × N is independent of speed, in practice rolling resistance increases slightly at higher speeds due to standing waves that form in the tire at high rotational speeds. Above a critical speed (usually well above normal driving speeds), rolling resistance increases dramatically and the tire can fail. This is why tires have speed ratings.

Impact on Electric Vehicle Range

For EVs, rolling resistance is particularly important because there is no engine waste heat to mask the energy loss. At city speeds, rolling resistance can account for 30-40% of total energy consumption. Switching from standard to low rolling resistance tires can add 10-20 miles to a typical EV range of 250 miles. This is why EV manufacturers specify low-C_rr tires as standard equipment.

Sources & Methodology

Last updated: March 7, 2026

Frequently Asked Questions

For passenger car tires on asphalt, C_rr is typically 0.008-0.012. Low rolling resistance tires achieve 0.005-0.007. Bicycle road tires range from 0.003-0.005, while railroad steel wheels on rails are about 0.001.