Question

A curve of radius 35 m is

banked; therefore, no friction
is required at a speed of 7
m/s of a car. What is the?
banking angle


​

Answer 1

The banking angle is 23.98 degrees.

Step-by-step explanation:

We have,

Radius of a curve is 35 m

Speed of a car is 7 m/s

It is required to find the banking angle. At equilibrium, net force is equal to the centripetal force between vehicle and the road such that the banking angle is given by :

`\tan\theta=(v^2)/(rg)`

g is acceleration due to gravity

`\tan\theta=(7^2)/(35* (22)/(7))\\\\\theta=\tan^(-1)\left(0.445\right)\\\\\theta=23.98^(\circ)`

So, the banking angle is 23.98 degrees.