Question

Curves on some test tracks and race courses, such as the Daytona International Speedway in Florida, are very steeply banked.

Answer 1

Answer:

Speed, v = 45.84 m/s

Explanation:

Given that,

Radius of the curve, r = 100 m

Banking of the curve, $\theta=65^{\circ}$

On the banking of curve, the speed of the vehicle is given by :

$v=\sqrt{rg\ tan\theta}$

$v=\sqrt{100\times 9.8\times \ tan(65)}$

v = 45.84 m/s

So, the speed at which a 100 m radius curve banked is 45.84 m/s. Hence, this is the required solution.