A speedway turn, with radius of curvature R, is banked at an angle θ above the horizontal.
a)What is the optimal speed at which to take the turn if the track’s surface is iced over (that is, if there is very little friction between the tires and the track)?
b)If the track surface is ice-free and there is a coefficient of friction μs between the tires and the track, what are the maximum and minimum speeds at which this turn can be taken?
c)Evaluate the results of parts (a) and (b) for R = 400. m, θ = 45.0°, and μs = 0.700.
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