# What is the maximum velocity by which vehicle can turn on a circular path of radius r. So that the vehicle does not skid away f

From the figure

we can say that

the maximum velocity by which vehicle can turn on a circular path of radius r

So that the vehicle does not skid away from the road is given by

$V_{safe}\leq \sqrt{\mu rg}$

where

$V_{safe}=$Safe vector move

r = radius of the curve

$\mu=$ coefficient of friction

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