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22. A circularbetween theavoid slippingracetrack of radius 300 m is banked at an angle of 15". If the coefficient of frictionwheels of a race-car and the road is 02, what is the maximum permissible speed tobetweer tar racetrack of radius 300 m is banked atan angle of 15" if the coefficient of friction

Answer»

Optimum speed = v₀ = [RgtanΘ]¹⁻₂

R= 300theta = 15⁰g= 10

so, v₀= √300 x 10 x tan 15= 28.06 ms⁻²

2. max speed= Vm=√Rg u+tan theta/ 1- utan thetaas u=0.2

=√300 x 10 0.2+tan15/1- 0.2tan 15

= 38.13 ms⁻¹

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