JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    A circular road of radius 1000 m has banking angle \[{{45}^{o}}\]. 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                                      [RPET 1997]

    A)             172 m/s

    B)                      124 m/s

    C)             99 m/s

    D)                      86 m/s

    Correct Answer: A

    Solution :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner