what is the angle of banking to minimise the wear and tear of the tyres of a car negotiating a banked curve?

In a banked road, that has a friction, the maximum allowable velocity is given by
v2=rgμ+tanθ1-μtanθ
Solving for the angle
tanθ=v2-μrgrg+μv2
The wear and tear of the tyres is due to the frictional coefficient of the rough surface. It can be minimised when the frictional coefficient is minimal namely zero.
Hence
tanθ=v2rg

 

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