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


Respuesta :

Answer:

The banking angle is 23.98 degrees.

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 :

[tex]\tan\theta=\dfrac{v^2}{rg}[/tex]

g is acceleration due to gravity

[tex]\tan\theta=\dfrac{7^2}{35\times \dfrac{22}{7}}\\\\\theta=\tan^{-1}\left(0.445\right)\\\\\theta=23.98^{\circ}[/tex]

So, the banking angle is 23.98 degrees.