Question

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

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

Answer 1

The correct option is C 108 km/hr

Radius of curvature $r=300m$

Coefficient of friction $\mu =0.3$

Acceleration due to gravity $g=10m/s^2$

Maximum speed of the car can have is :

$V_{max}=\sqrt{\mu rg}$

$\sqrt{0.3\times 300\times 10}$

$=\sqrt{3\times 300}$

$=30m/s$

$30\times {10}^{-3}\times 3600$

$=108km/h$