a circular race track of radius 300 m is banked at an angle of 150. if the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the race car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping ?

plz experts help me out..............


The optimum speed of the racing car is given as

vo = [Rgtanθ]1/2


R = 300m

θ = 15o


vo = 300 x 10 x tan15


vo = 28.06 m/s



The maximum permissible speed is given as


μ = 0.2


thus, we get

vm = 38.13 m/s

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