Question

What do you mean by banking of a circular road? Determine the angle of banking so as to minimize the wear and tear of the tyres of a car negotiating a banked curve.​

Answer 1

The banking of a circular road is the deliberate raising of the border edges of the circular road. The required banking angle of the circular road to minimize the wear and tear of the tyres of a car negotiating the banked curve is tanθ=(v_max)rg.

• The banking of a circular road is the practice of raising the border edges of the circular road a bit above its inner edges in a mathematically correct way to provide sufficient centripetal force to the running vehicles for their safe turning along the circular road.
• The circular road offers friction to the movement of vehicles and, as such, the maximum allowable velocity of any vehicle in the banked circular road is v_max=rg[μ+tanθ][1−μtanθ], where the parameters have their usual meanings.

• The expression for the maximum allowable velocity (v_max)=rg[μ+tanθ][1−μtanθ] reduces to yield the angle of banking.
• The banking angle of the circular road offering friction is tanθ=[(v_max)−μrg][rg+μ(v_max)].
• We know that the friction that the rough circular road will offer to the tyres of the vehicles will cause their wear and tear and it attributes to the frictional coefficientμ of the rough circular road.
• We can minimize the wear and tear of the tyres by minimizing the frictional coefficientμ.
• When we reduce the frictional coefficientμ to zero, the banking angle of the circular road offering no friction and minimizing the wear and tear of the tyres of a car negotiating the banked curve will become tanθ=(v_max)rg.

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Answer 2

Explanation:

it is the minimum velocity required to travel a vehicle on a banked road and if the velocity is less than the given then the vehicle will fell