Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Car - Traction Force

Adhesion and tractive force between car wheel and surface.

drag race car tire tractive effort

The tractive force between a car wheel and the surface can be expressed as

F = μ t W

= μ t m a g (1)

where

F = traction effort or force acting on the wheel from the surface (N, lb f )

μ t = traction - or friction - coefficient between the wheel and the surface

W = weight or vertical force between wheel and surface (N, lb f ) )

m = mass on the wheel (kg, slugs )

a g = acceleration of gravity (9.81 m/s2, 32.17405 ft/s2)

Traction Coefficients for normal Car Tires

Car Tires - Traction Coefficients
SurfaceTraction Coefficient
- μ t -
Wet Ice 0.1
Dry Ice/Snow 0.2
Loose Sand 0.3 - 0.4
Dry Clay 0.5 - 0.6
Wet rolled Gravel 0.3 - 0.5
Dry rolled Gravel 0.6 - 0.7
Wet Asphalt 0.6
Wet Concrete 0.6
Dry Asphalt 0.9
Dry Concrete 0.9

Example - Traction Force on an Accelerating Car

The maximum traction force available from one of the two rear wheels on a rear wheel driven car - with mass 2000 kg equally distributed on all four wheels - on wet asphalt with adhesion coefficient 0.5 - can be calculated as

F one_wheel = 0.5 ((2000 kg)  (9.81 m/s2) / 4)

= 2453 N

The traction force from both rear wheels

F both_wheels = 2 (2452 N)

= 4905 N

Note! - that during acceleration the force from the engine creates a moment that tries to rotate the vehicle around the driven wheels. For a rear drive car this is beneficial by increased vertical force and increased traction on the driven wheels. For a front wheel driven car the traction force will be reduced during acceleration.

The maximum acceleration of the car under these conditions can be calculated with Newton's Second Law as

a car = F / m

= (4904 N) / (2000 kg)

= 2.45 m/s2

= (2.45 m/s2) / (9.81 m/s2)

= 0.25 g

where

a car = acceleration of car (m/s2)

The minimum time to accelerate from 0 km/h to 100 km/h can be calculated as

dt = dv / a car

= ((100 km/h) - (0 km/h)) (1000 m/km) (1/3600 h/s) / (2.4 m/s2)

= 11.3 s

where

dt = time used (s)

dv = change in velocity (m/s)

Accelerating Car Calculator

This calculator can be used to calculate the maximum acceleration and minimum accelation time for a car on different surfaces.

Related Topics

  • Dynamics

    Motion of bodies and the action of forces in producing or changing their motion - velocity and acceleration, forces and torque.

Related Documents

Search

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 - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

Citation

This page can be cited as

  • The Engineering ToolBox (2011). Car - Traction Force. [online] Available at: https://www.engineeringtoolbox.com/tractive-effort-d_1783.html [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter

















































3.27.8

.