Banking Of Road । Banking of road formula । What is banking of road
Banking Of Road : The term ‘banking’ refers to the practice of raising the outer edge of curved roads to give an incline in the road so that vehicles have the necessary centrifugal force to turn safely.
Now the question arises, what is centripetal force ? As an object travels around a circle, it experiences a push or a pull toward the centre, creating circular or angular motion. In the following sections, we will discuss the angles of banking and the terms used in banking roads.
What is Banking of Roads
Banking of roads is defined as the phenomenon in which the outer edges are raised for the curved roads above the inner edge to provide the necessary centripetal force to the vehicles so that they take a safe turn.
Now, let’s remember, what is centripetal force? It is the force that pulls or pushes an object towards the center of the circle, causing angular or circular motion. In the next few sections, let us discuss the banking angle and the terminology used in street banking.
Another terminology used is banked turn which is defined as the turn or change of direction in which the vehicle is inclined inward. The angle at which the vehicle is tilted is defined as the bank angle. The tilt occurs on the longitudinal and horizontal axis.
Banking of roads is defined as the process of raising the edges of a curved road from the inner edge so that vehicles have the necessary centripetal force to take a safe turn. This is usually done to avoid slipping from a vehicle.
The edges are inclined horizontally by raising the outer edge of the road. Banking angle is the angle at which the road is inclined.
The phenomena in which the edges of the curved roads are raised above the inner edge to provide the necessary centripetal force to the vehicles so that they take a safe turn. The various terminologies used in the case of banking of roads are:
Banked Turn – It is defined as the turn or change of direction in which the vehicle inclines towards inside.
Bank Angle – The angle at which the vehicle is inclined is defined as the bank angle.
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The formula for Banking of Road । Banking of Road Formula
The vertical component of the normal force of the road balances the weight of a vehicle when there is no friction. The horizontal component is responsible for generating centripetal force toward the centre of curvature of the road.
In a curved roadway with a banking angle, the normal force N (perpendicular to the road) segregates into two components.
This gives the expression of the maximum velocity of an object to remain in the curved path.
v= √grtanθ
Where
r is the centre of curvature
g is the acceleration due to gravity
θ is the angle of inclination
The formula for the Banking of Roads
Friction force ‘f’ acts along the inclined plane’s inner edge. The friction force above acts in two directions: horizontally along the centre and vertically downward. If the coefficient of Friction is μ, the friction force is related to the normal force as follows:
F= μN
The expression for the maximum speed at which you can remain on the curved road:
v= √gr(tanθ + μ/1- μtanθ)
Where
μ is the coefficient of Friction
Need for street banking
When the vehicle is moving on a curved road, centripetal force must be provided, otherwise, there is a danger of throwing the vehicle off tangent.
The frictional force between the wheels and the road can provide the centripetal force, but the safe speed for such roads is too low and not reliable.
In the banking of roads, the horizontal component of the normal response provides the necessary centripetal force, and vehicles are protected from accidents.
Sources related to banking of roads
Vehicle velocity on a curved edge road: v = \sqrt{(\frac{Rg(μs + tanθ)}{(1−μs tanθ)}}
For a pair of roads, and tires μs = tanλ, then the velocity of the vehicle on a curved edge road is: v = \sqrt{Rg tan(θ + )}
The safe velocity on an unbanked road is: vmax = \sqrt{μ Rg}
The expression for the angle on the side of the road is: = tan-1 [v02 / Rg]
The expression for safe velocity on a side road is: vmax = \sqrt{rg tanθ}
Banking of road meaning
Banking of road meaning in hindi : Sadak Kee banking
Banking of road meaning in marathi : Rastyācē bam̐kiṅga
Banking road meaning in Urdu : سڑک نارے
FAQs
What is meant by banking of roads ?
Banking of roads means raising the outer edge of the curved road above the inner edge to provide the centripetal force necessary for the vehicle to take a safe turn.