A 1200 kg car rounds a fiat curve of radius 45 m. If the coefficient of static f

Question

A 1200 kg car rounds a fiat curve of radius 45 m. If the coefficient of static friction between the tires and the road is mu k = 0.82, what is the maximum speed the car can have in the curve without skidding? If a curve is banked at the appropriate angle for a specific speed called the design speed of the curve, a car can round the curve at that speed without any assistance from friction between the tires and the road. For a curve of radius 85.0 m, what is the appropriate banking angle, if the design speed is to be 20.5 m/s?

Explanation / Answer

a) Maximum speed = sqrt[r*g*u] = sqrt[45*9.8*0.82] = 19.02 m/s

b) Maximum speed = sqrt[r*g*tan(theta)] = 20.5

Theta = 26.8 degree

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