An exit ramp from a freeway has a radius of curvature of 400mand is banked at an

Question

An exit ramp from a freeway has a radius of curvature of 400mand is banked at an angle such that a car exiting at 90km/h willnot skid on a frictionless road. Calculate the degree of banking required. If the coefficient of static friction between the car and theroad is 0.5, calculate the max speed that a car can safely exit thefreeway. An exit ramp from a freeway has a radius of curvature of 400mand is banked at an angle such that a car exiting at 90km/h willnot skid on a frictionless road. Calculate the degree of banking required. If the coefficient of static friction between the car and theroad is 0.5, calculate the max speed that a car can safely exit thefreeway.

Explanation / Answer

radius of curvature = r = 400m car speed = 90km/h = 90*5/18 = 25m/s   we know that = tan =v2/rg       = tan-1 (v2/rg) =tan-1 (25)2/400*9.8 =9.00   if s =0.5 then we knowthat s =v2/rg          v= s rg          v = 0.5*400*9.8 =44.27m/s

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