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

AI Thread Summary
To calculate the turning radius of a car in relation to speed, the equation involves lateral acceleration, expressed as V^2/R, where V is the speed and R is the turning radius. The coefficient of static friction (u) between the tires and the track is crucial, leading to the equation u*g = v^2/r, with g representing gravitational acceleration. The turning radius can vary based on speed and track conditions, with a standard radius of 25 feet applicable in general scenarios but subject to change in racing contexts. Additional complexities arise when considering track angles and other dynamic factors. Understanding these elements is essential for designing effective racing tracks.
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...

Be aware that we generally discourage just blurting out the answer. The thread is more valuable to everyone reading it now and in the future if you give the original poster a chance to think through and respond to the follow-up questions.
 

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