Derived an expression of most safe speed of vehicle banked curved road.
Answers
Answer:
Banking of roads : To avoid risk of skidding as well as to reduce the wear and tear of the car tyres, the road surface at a bend is tilted inwards.
Answer:
Explanation:
Banking of roads : To avoid risk of skidding as well as to reduce the wear and tear of the car tyres, the road surface at a bend is tilted inwards, i.e., the outer side of road is raised above its inner side. This is called 'banking of roads'.
Consider a car taking a left turn along a road of radius r banked at an angle θ for a designed optimum speed V. Let m be the mass of the car. In general, the forces acting on the car are:
(a) Its weight mg
, acting vertically down
(b) The normal reaction of the road N
, perpendicular to the road surface
(c) The frictional force fs
along the inclined surface of the road.
Resolve N
and fs
into two perpendicular components Ncosθ vertically up and fs
sinθ vertically down, Nsinθ and fs
cosθ horizontally towards the centre of the circular path.
If vmax is the maximum safe speed without skidding.