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 baked road with friction,
$v^2$ = gr($\frac{\mu +tan\theta }{1-\mu tan\theta })$
$\Rightarrow$ $v^2$ = 9.8 $\times$ 1000 $\times$ ($\frac{0.5+1}{1-0.5\times 1}$) $\Rightarrow$ v = 172 m/s