what is banking of roads 9 obtain an expression for the angle of banking of roads included at angle tita with the horizontal
Answers
Hint: Banking of roads refers to when there is an angle between the surface of the road with the horizontal, that is, the road is inclined. This incline in the road helps in turning since the inclined direction of the normal force has a component which provides the centripetal force necessary for completing a curve.
Formula used:
For a body of mass M going in a circle of radius R at a constant speed v , the centripetal force FC required is
FC=Mv2R
For a body in static equilibrium, the summation of all forces F→ on the body is zero. That is,
∑F→=0
When a car goes on a curved road, it requires a certain centripetal force to stay on the curved path and complete the turn. This centripetal force acts towards the center of the circle of the curve and constantly changes the direction of the car to help it to stay on the circular path.
Banking of roads refers to the concept that the surface of the road is inclined with the horizontal. This angle is known as the angle of inclination or the angle of banking.
When the road is banked the normal force provided by the road on the car provides a component which is in the direction of the centripetal force. Hence, when the road is banked, it is easier for a car to take the turn at a higher speed.