A race car accelerates uniformly as it leaves the pit area, goingfrom rest to 33

Question

A race car accelerates uniformly as it leaves the pit area, goingfrom rest to 330 km/h in a semicirculararc with a radius of 200 m.
Determine the tangential acceleration of the car when it is halfwaythrough the turn, assuming constant tangential acceleration.
m/s2
Determine the radial acceleration of the car at this time.
m/s2
If the curve were flat, what would the coefficient of staticfriction have to be between the tires and the roadbed to providethis acceleration with no slipping or skidding?

Explanation / Answer

The tangential acceleraion of the car is                  a = [v2- u2]/(2r)    Here v = 330 (5/18) m/s            u =0 and r = 200 m The radial acceleraion of the car is               a = v2/r The coefficient of static friction is               s = v2/(rg) Substitute the values.

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