How to calculate turning radius of a car w.r.t speed?

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SUMMARY

The turning radius of a car can be calculated using the equation ug = v²/R, where 'u' represents the coefficient of static friction between the track and tires, 'v' is the speed, and 'R' is the turning radius. Standard turning radius is approximately 25 feet, but this value varies in sports contexts based on speed. Lateral acceleration, defined as V²/R, is a critical factor in determining the turning radius, and the complexity of the equation increases with additional variables such as track angle. For a comprehensive understanding, "Race Car Vehicle Dynamics" by Milliken and Milliken is recommended.

PREREQUISITES
  • Understanding of basic physics principles, particularly dynamics.
  • Familiarity with the concepts of friction and lateral acceleration.
  • Knowledge of vehicle dynamics and racing track design.
  • Basic mathematical skills for manipulating equations.
NEXT STEPS
  • Research the coefficient of static friction for different tire and track combinations.
  • Study the effects of track angle on turning radius calculations.
  • Explore advanced vehicle dynamics principles in "Race Car Vehicle Dynamics" by Milliken and Milliken.
  • Learn about lateral acceleration and its impact on vehicle handling at high speeds.
USEFUL FOR

Automotive engineers, racing track designers, physics students, and anyone involved in vehicle dynamics or motorsport engineering will benefit from this discussion.

Mohammad Tayyeb
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I want to know the equation by which we can calculate the turing radius of a car with respect to speed or track length as I am designing a racing track for my thesis project.
Regards,
M.Tayyeb
 
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What factors do you think might be involved in such an equation?
 
that is what i really want to know ...that how we can calculate the turning radius of a car. As per standard 25' (feet) is a standard but in sports it will change with respect to speed. But i didnt know the formula or equation by which we can easily determined the turning radius...
 
Mohammad Tayyeb said:
that is what i really want to know ...that how we can calculate the turning radius of a car. As per standard 25' (feet) is a standard but in sports it will change with respect to speed. But i didnt know the formula or equation by which we can easily determined the turning radius...
What factors do you think might be involved in such an equation?
 
Lateral acceleration is V^2/R.
Now you have to decide on an appropriate value for lateral acceleration, and unless you make quite a few simplifying assumptions it can all become exceedingly complex.
Have a look at "Race car vehicle dynamics" by Milliken and Milliken to get a better understanding of the physics involved in this question.

Cheers,
Terry
 
friction is the factor that you'll need to consider.
so, the equation would be:
ug=v^2/r, where u is the coefficient of static friction between the track and tires. If the track is at an angle, the equation will be slightly different.
 
drragonx said:
friction is the factor that you'll need to consider.
so, the equation would be:
ug=v^2/r, where u is the coefficient of static friction between the track and tires. If the track is at an angle, the equation will be slightly different.

Yes, but...

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