Answer:
Angle, θ = 29.35
Explanation:
It is given that,
Radius of the curve, r = 80 m
Velocity of the car, v = 21 m/s
The highway curve is to be banked so that the car will not skid sideways in the presence of friction. We need to find the angle should the curve be banked. Let the angle is θ. It is given by :
[tex]tan{\theta}=\dfrac{v^2}{rg}[/tex]
Where
g = acceleration due to gravity
[tex]tan\ {\theta}=\dfrac{(21\ m/s)^2}{80\ m\times 9.8\ m/s^2}[/tex]
[tex]\theta=tan^{-1}(0.5625)[/tex]
θ = 29.35°
Hence, this is the required solution.
