Correlation between friction force and surface area

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SUMMARY

The discussion clarifies that while the basic formula for friction force states it is independent of surface area, practical applications in racing demonstrate otherwise. Wider tires on race cars provide a larger contact patch, which supports the vehicle's load and enhances grip due to a variable coefficient of friction that increases with lower loads. Additionally, wider tires allow for softer rubber compounds, reducing wear rates and overheating, which are critical for performance in racing environments.

PREREQUISITES
  • Understanding of basic physics principles, specifically friction force calculations.
  • Familiarity with tire mechanics and their impact on vehicle performance.
  • Knowledge of the coefficient of friction and its dependency on load conditions.
  • Basic concepts of tire pressure and its relationship to contact area.
NEXT STEPS
  • Research the effects of tire width on vehicle dynamics in motorsport.
  • Explore the relationship between tire pressure and coefficient of friction in various conditions.
  • Study advanced tire materials and their performance characteristics in racing.
  • Investigate the impact of contact patch size on grip and handling in different racing scenarios.
USEFUL FOR

Automotive engineers, race car designers, and performance enthusiasts seeking to optimize vehicle handling and tire performance in racing applications.

engineer888
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As far as I know, friction force is equal to the product of the normal force and coefficient of friction, hence is independent of surface area.

So why is it that race cars have wider tyres than conventional vehicles?
 
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The rubber compound is softer and stickier in racing tires (I'm in North America!), and can't handle the higher internal pressure that a street tire would, so to support the vehicle, you need to have a larger contact patch, and hence wider tires.

Take the surface contact patch area and multiply by the tire pressure to estimate the load it can support. PA = F
 
engineer888 said:
As far as I know, friction force is equal to the product of the normal force and coefficient of friction, hence is independent of surface area.

So why is it that race cars have wider tyres than conventional vehicles?
Tyre/road friction is extremely complex, there are entire books on just this subject. Your formula is correct for a simple model, however what you may not realize is that the coefficient of friction will not usually be constant, even for the same materials at the same temperature. The coefficient of friction depends on the normal load, usually it is higher for lower loads. So when considering the entire vehicle it is beneficial to have a larger contact area (and a lower pressure between the tyre and road) to increase the coefficient of friction.

There may also be other benefits to wider tyres like reduced wear rates (allows you to use softer rubbers) and less overheating.
 

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