Respuesta :
Answer:
The value of the correct angle of banking for the road is [tex]\theta = 67.76[/tex] °
Explanation:
Given data
Velocity (v) = 60 [tex]\frac{m}{s}[/tex]
Radius = 150 m
The velocity of the car in this case is given by
[tex]v = \sqrt{r g \tan \theta}[/tex]
[tex]v^{2} = r g \tan \theta[/tex]
[tex]\tan \theta = \frac{v^{2} }{rg}[/tex]
Put all the values in above formula we get
[tex]\tan \theta = \frac{60^{2} }{(150)(9.81)}[/tex]
[tex]\tan \theta =[/tex] 2.446
[tex]\theta = 67.76[/tex] °
Therefore the value of the correct angle of banking for the road is [tex]\theta = 67.76[/tex] °
