Kinematics Question 744

Question: 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]

Options:

A) 172 m/s

B)124 m/s

C) 99 m/s

D)86 m/s

Show Answer

Answer:

Correct Answer: A

Solution:

The maximum velocity for a banked road with friction, $ v^{2}=gr( \frac{\mu +\tan \theta }{1-\mu \tan \theta } ) $

therefore $ v^{2}=9.8\times 1000\times ( \frac{0.5+1}{1-0.5\times 1} ) $

therefore $ v=172m/s $



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