Question

A car is moving on a circular level road of radius of curvature $300m$. If the coefficient of friction is $0.3$ and acceleration due to gravity $10m/s^2$, the maximum speed the car can have is:

• A. $30km/h$
• B. $81km/h$
• C. $108km/h$
• D. $162km/h$

Answer 1

Answer: (C)

$108km/h$

$R=300m$
So, $v_{max}=\sqrt{\mu Rg}$
$=\sqrt{0.3\times 300\times 10}m/s$
$=30m/s$
$=30\times \frac{18}{5}km/h$
$=108km/h$