Question

A banked road comer of radius 146 m is to be constructed. If the comer is designed for vehicles moving with a speed of 20.0 m/s, what should the banking angle be, in units of degrees?

Answer 1

Answer:

Angle of banking be 15.64 degrees.

Explanation:

It is given that,

Radius of banked road comer, r = 146 m

Velocity of vehicle, v = 20 m/s

Banking angle is defined as the angle at which a vehicle is in inclined position. Angle of banking is given by :

$tan\ \theta=\dfrac{v^2}{rg}$  , g = acceleration due to gravity

$tan\ \theta=\dfrac{(20\ m/s)^2}{146\ m\times 9.8\ m/s^2}$

$tan\ \theta=0.28$

$\theta=tan^{-1}(0.28)$

$\theta=15.64\ degrees$

Where, $\theta$ = angle of banking

Hence, this is the required solution.