The slope on the road surface generally provided on the curves is
A. angle of friction
B. angle of repose
C. angle of banking
D. none of these
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Explanation:
Banking of roads:
The phenomenon of raising the outer edge of the curved road above the inner edge is called as banking of roads.
It facilitates vehicles to turn without slipping.
The angle by which the road is banked is known as angle of banking.
\(\tan \theta = \frac{{{v^2}}}{{rg}} = \frac{h}{l}\)
where θ is the angle of banking, v is the velocity of the vehicle, r is the radius of the curve, h is the height of the banking, l is the width of the road.
Angle of friction:
It is defined as the angle which the resultant of limiting friction and normal reaction makes with the normal reaction.
\(\tan \theta = \frac{F}{R} = {\mu _s}\)
Angle of Repose
It is defined as the angle of the inclined plane with the horizontal such that a body placed on it just begins to slide.
In the given figure α is the angle of repose.
F = mg × sin α
R = mg × cos α
\(\frac{F}{R} = {\mu _s} = \tan \theta = \tan \alpha\)
Note: Angle of repose is equal to the angle of friction.
