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Rolling Resistance Force Equations and Calculator

Power Transmission Design and Engineering
Engineering and Design Applications

Rolling Resistance Force of Vehicle Between Tire and Contacting Surface.

A vehicle can move along only if the sum of all resistances is overcome. Resistances are forces that either balance out the driving force (uniform movement) or are smaller than the driving force (accelerated movement).

 

F_R = G · f_R · G_Z · cos α

Where:

F_R = Rolling resistance force, in N ( kg-m / s² )
f_R = Coefficient of rolling resistance, see Table 1
G_Z = Overall combined mass, in kg
α = Angle of uphill gradient, in °
G = 9.81, Universal gravity constant (earth) Units m/s²

Table 1: Coefficients of Rolling Resistance

Road surface	Coefficient fR
Good asphalt road	0.007
Wet asphalt road	0.015
Good concrete road	0.008
Rough concrete road	0.011
Block paving	0.017
Poor road	0.032
Dirt track	0.15...0.94
Loose sand	0.15...0.30