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

Angle of banking be 15.64 degrees.

Step-by-step 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=(v^2)/(rg)` , g = acceleration due to gravity

`tan\ \theta=((20\ m/s)^2)/(146\ m* 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.