Question

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/s
• C. 99 m/s
• D. 86 m/s

Answer 1

The correct option is A 172 m/s

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