Kinematics Question 744

Question: A circular road of radius 1000 m has banking angle 45o . 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, v2=gr(μ+tanθ1μtanθ)

therefore v2=9.8×1000×(0.5+110.5×1)

therefore v=172m/s



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