Question

The road at a circular turn of radius 10 m is banked by an angle of ${10}^o$, with what speed should vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force.[tan${10}^o$=0.18]

• A. 6m/s
• B. 3.2 m/s
• C. 5 mls
• D. 4.2 m/s

Answer 1

The correct option is B 3.2 m/s

The road at a circular turn of radius 10m is banked by an angle of 10 degrees.

Let The speed used by the vehicle to move on the turn so that the normal contact force is v

So $v=\sqrt{r\times gtam{10}^0}$

$v=\sqrt{10\times 10\times 0.18}$

$v=\sqrt{18}$

$v=3.2m/s$