Question

calculate the optimum speed and maximum speed with which a car can travel along a curve of radius 80 m if the road is Bank at an angle of 21 degree 48 minutes and the friction between the tire and the road is 0.5

Answer 1

this is just example:::::What is the maximum speed, at which a car turns around a curve of radius 30m on a level road, if the coefficient of friction between tyres and road is 0.4?


Frictional Force = Centrifugal Force

⟹fmg = mv2R⟹fmg = mv2R

Where, f = coefficient of friction,

m = mass of vehicle, in kgkg

g = acceleration due to gravity, in m/s2m/s2

V = speed of vehicle, in m/sm/s

& R = radius of curve, in mm

⟹f = v2gR⟹f = v2gR

⟹f = V2127R⟹f = V2127R

Where, f = coefficient of friction,

V = speed of vehicle, in km/hrkm/hr

& R = radius of curve, in mm

⟹0.4 = V2127×30 m⟹0.4 = V2127×30 m

V = 0.4×127×30−−−−−−−−−−−−√ km/hrV = 0.4×127×30 km/hr

⟹V = 39.04 km/hr ≃ 39 km/hr⟹V = 39.04 km/hr ≃ 39 km/hr

Or, V ≃ 10.84 m/s

I hope this will help you
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