Answer:
The road bank angle is 16.38⁰.
Explanation:
radius of curvature of the road, r = 50 m
allowable speed of car on the road, v = 12 m/s
The bank angle is calculated as;
[tex]\theta = tan^{-1} (\frac{v^2}{gr} )[/tex]
where;
θ is the road bank angle
g is acceleration due to gravity = 9.8 m/s²
[tex]\theta = tan^{-1} (\frac{v^2}{gr} )\\\\\theta = tan^{-1} (\frac{12^2}{9.8 \times 50} )\\\\\theta = tan^{-1} ( 0.2939)\\\\\theta = 16.38 ^0[/tex]
Therefore, the road bank angle is 16.38⁰.
