Why are the curved roads banked. obtain an expression for angle of ban

1.	Why are the curved roads banked. obtain an expression for angle of banking ofa curved road . Also define angle of friction.(5x1-5)
Answer» When a vehicle moves round a horizontal curve on the road with sufficient speed, the necessary centripetal force is provided by the friction between the tyres and the road. So, to increase the centripetal force, friction should be increased which causes wear and tear of the tyres. If the road is banked on the curve, the necessary centripetal force is provided by the horizontal component of normal resistance. i.e. Fc = Rsinθ Here, centripetal force can be increased be increasing the angle of banking. So, roads are banked on curved path. 1 2 When the body placed on some surface is just on the point of sliding then in that condition theanglebetween applied force and normal force is called theangle of friction.

Why are the curved roads banked. obtain an expression for angle of banking ofa curved road . Also define angle of friction.(5x1-5)

Answer»

When a vehicle moves round a horizontal curve on the road with sufficient speed, the necessary centripetal force is provided by the friction between the tyres and the road. So, to increase the centripetal force, friction should be increased which causes wear and tear of the tyres. If the road is banked on the curve, the necessary centripetal force is provided by the horizontal component of normal resistance.

i.e. Fc = Rsinθ

Here, centripetal force can be increased be increasing the angle of banking. So, roads are banked on curved path.

When the body placed on some surface is just on the point of sliding then in that condition theanglebetween applied force and normal force is called theangle of friction.

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