Obtain the formula for the maximum safe speed `(v_(max))` of a vehicle on a level curved road

Explanation

(a) vehicle is shown moving on a horizontal curved road. The mass of vehicle be m and the radius be R

Figure (b ) shows the vehicle moving on a circular track
the friction between the tyre and the road surface provides the neccesary centripetal force
In order tomove safely on this road
`(mv^(2))/( R )` force is required and it should be equal to maximum frictional force
`(f_(g)) _(max) = mu_(s) N`
where `mu_(s)` is the coefficient of static friction between the tyres of vehicle and the road.
the above formula shows that the maximum permissible limit of the speed does not depend upon the mass of vehicle or the passenger to driver safely on level circular road. the above given speed called maximum permissible speed should be followed