Question

The question ask:

Answer 1

Answer:

$\theta=28.07^{\circ}$

Explanation:

Speed of van, v = 28 m/s

Radius of unbanked curve, r = 150 m

Let $\theta$ is the angle with the vertical. In case of banking of road,

$T\ cos\theta=mg$.............(1)

And

$T\ sin\theta=\dfrac{mv^2}{r}$..........(2)

From equation (1) and (2) :

$tan\theta=\dfrac{v^2}{rg}$

$tan\theta=\dfrac{(28)^2}{150\times 9.8}$

$\theta=28.07^{\circ}$

So, the string makes an angle of 28.07 degrees with the vertical. Hence, this is the required solution.