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

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 im designing a racing track for my thesis project.
Regards,
M.Tayyeb

## Answers and Replies

phinds
Gold Member
2021 Award
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...

phinds
Gold Member
2021 Award
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.

Nugatory
Mentor
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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