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 $
