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..............
(1)
The optimum speed of the racing car is given as
vo = [Rgtanθ]1/2
here,
R = 300m
θ = 15o
so,
vo = 300 x 10 x tan15
thus,
vo = 28.06 m/s
..
(2)
The maximum permissible speed is given as
here,
μ = 0.2
so,
thus, we get
vm = 38.13 m/s