Question

A circular race course track has a radius of 500 m and is banked at 10°. The coefficient of static friction between the tyres of a vehicle and the road surface is 0.25. Compute 

(i) the maximum speed to avoid slipping 

(ii) the optimum speed to avoid wear and tear of the tyres.

Answer 1

Data : r = 500 m, θ = 10°, µ_s = 0.25, g = 9.8 m/s² , tan 10° = 0.1763

(i) On the banked track, the maximum speed of the vehicle without slipping (skidding) is

(ii) The optimum speed of the vehicle on the track is