Rolling Resistance

Rolling friction and rolling resistance

The force that resists the motion when a body rolls on a surface is called the rolling resistance or the rolling friction.

rolling resistance friction

The rolling resistance can be expressed as

Fr = c W         (1)

where

Fr = rolling resistance or rolling friction (N, lbf)

c = rolling resistance coefficient - dimensionless (coefficient of rolling friction - CRF)

W = m g = normal force - weight - of the body (N, lbf)

m = mass of body (kg, lb)

g = accelaration of gravity (9.81 m/s2, 32.174 ft/s2)

The rolling resistance can alternatively be expressed as

Fr = cl W / r         (2)

where

cl = rolling resistance coefficient with dimension length (coefficient of rolling friction) (mm, in)

r = radius of wheel (mm, in)

Rolling Friction Coefficients

Some typical rolling coefficients:

Rolling Resistance Coefficient 
ccl (mm)
0.001 - 0.002 0.5

railroad steel wheels on steel rails

0.001 bicycle tire on wooden track
0.002 - 0.005 low resistance tubeless tires
0.002 bicycle tire on concrete
0.004 bicycle tire on asphalt road
0.005 dirty tram rails
0.006 - 0.01 truck tire on asphalt
0.008 bicycle tire on rough paved road
0.01 - 0.015 ordinary car tires on concrete
0.03 car tires on tar or asphalt
0.04 - 0.08 car tire on solid sand
0.2 - 0.4 car tire on loose sand

Rolling Coefficients Cars

The rolling coefficients for pneumatic tyres on dry roads can be calculated as

c = 0.005 + 1/p (0.01 + 0.0095(v/100)2)

where

c = rolling coefficient

p = tyre pressure (bar)

v = velocity (km/h)

Example - The Rolling Resistance of a Car on Asphalt

The rolling resistance of a car with weight 1500 kg on asphalt with rolling friction coefficient 0.03 can be estimated as

Fr = 0.03 (1500 kg) (9.81 m/s2)

= 441 N

Related Topics

  • Dynamics - Dynamics Motion - velocity and acceleration
  • Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects

Related Documents

Tag Search

  • en: rolling resistance friction body surface weight
  • es: fricción resistencia a la rodadura peso de superficie corporal
  • de: Rollwiderstand Reibkörper Flächengewicht

Search the Engineering ToolBox

- "Search is the most efficient way to navigate the Engineering ToolBox!"

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your SketchUp model with the Engineering ToolBox - SketchUp Extension/Plugin - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro. Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Translate the Engineering ToolBox!
About the Engineering ToolBox!

close