• # question_answer A circular road of radius 1000 m has banking angle$45{}^\circ$. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5: A) 172 m/s                        B) 124 m/sC) 99 m/s              D) 86 m/s

Solution :

The maximum velocity for a banked road with friction, ${{v}^{2}}=gr\left( \frac{\mu +\tan \,\theta }{1-\mu \tan \,\theta } \right)$ $\Rightarrow \,\,\,{{v}^{2}}=9.8\times 1000\times \left( \frac{0.5+1}{1-0.5\times 1} \right)$ $\Rightarrow \,\,\,\,v\,\,=\,\,172\text{ }m/s$

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