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Rolling resistance

physical science Maturity 13-18 Next article →

Rolling resistance is the force that opposes the motion of a body rolling on a surface. This force applies to objects like balls, tires, or wheels. It is sometimes called rolling friction or rolling drag. While it is often compared to sliding friction, the two are actually quite different. Rolling resistance is generally much smaller than the coefficient of sliding friction. This force explains why a coasting vehicle will eventually slow down and stop. Even without brakes, rolling resistance acts as a constant drag on movement.

Rolling Resistance 2
Rolling Resistance 2

The primary cause of rolling resistance is a process called hysteresis. Hysteresis is a characteristic of certain deformable materials. It means the energy needed to deform a material is greater than the energy recovered when the pressure is removed. As a tire rotates under a vehicle, it experiences repeated cycles of deformation and recovery. Because of hysteresis, the material does not pop back perfectly. Instead, it dissipates that lost energy as heat. This is why rubber tires, which are viscoelastic, have higher resistance than harder materials.

Pressure distribution for viscoelastic rolling cylinders
Pressure distribution for viscoelastic rolling cylinders

This energy loss creates an asymmetrical pressure distribution at the contact point. Imagine a particle entering the contact area where the wheel meets the road. As the particle moves through the contact patch, its vertical deformation increases. This increase is resisted by the hysteresis effect, which generates additional pressure. Later, as the particle leaves the contact area, its deformation decreases. The hysteresis effect resists this decrease, which lowers the pressure needed to keep the bodies separate. This results in a pressure distribution that is shifted toward the front of the wheel. This uneven pressure creates a moment that acts to retard the rolling motion.

There are several distinct ways to define rolling resistance depending on the context. In a broad sense for vehicles, it is the force per unit weight required to move on level ground. This broad definition includes many factors like wheel bearing resistance and energy lost to vibrations. It also includes the energy used to shake the roadbed or the earth underneath. In a narrower sense, especially for trains, it refers only to deformation and minor sliding at the contact point. For tires, it is often defined as the energy consumed per unit distance covered.

Rolling Resistance 2
Rolling Resistance 2

Many different factors contribute to the total amount of resistance experienced. The amount of deformation in both the wheel and the roadbed is a major factor. Movement below the surface also adds to the resistance. Other contributing factors include the diameter of the wheel and the load placed upon it. Surface adhesion and sliding also play roles. The resistance coefficient, or Crr, is a way to measure this force. It is calculated by dividing the rolling resistance force by the normal force. This coefficient is dimensionless and helps engineers compare different surfaces and materials.

We can see the impact of these materials through various examples. A train car with steel wheels on steel rails will roll much farther than a bus. This is because steel has a very small hysteresis effect compared to rubber. A rubber tire on a paved road has much higher resistance than a steel wheel. Even the ground surface matters, as sand provides more resistance than concrete. In the world of tires, manufacturers use silica instead of carbon black in tread compounds. This helps reduce low-frequency hysteresis to improve efficiency without losing traction.

Pressure distribution for viscoelastic rolling cylinders
Pressure distribution for viscoelastic rolling cylinders

Specific numbers help us understand the scale of these forces. Most new passenger tires have a rolling resistance coefficient ranging from 0.007 to 0.014. In contrast, bicycle tires achieve much lower values, between 0.0025 and 0.005. For trains, the resistance coefficient can be as low as 0.0004. This makes the resistance for motor vehicles at least 10 times higher than for trains. Understanding these coefficients allows scientists to calculate exactly how much power is needed to maintain constant speed. This knowledge is vital for designing efficient transportation systems across the globe.

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File:Rolling Resistance 2.png
Rolling Resistance 2.png
File:Pressure distribution for viscoelastic rolling cylinders.png
Pressure distribution for viscoelastic...
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