Question

At what angle relative to the horizontal should a 52 m curve be banked if the road is covered with ice (no friction) to prevent the car from slipping when traveling at 12 m/s

Answer 1

The banking angle of the road is 15.8⁰.

Step-by-step explanation:

Given;

radius of the curved road, r = 52 m

velocity of the traveling car, v = 12 m/s

acceleration due to gravity, g = 9.8 m/s²

let the banking angle of the road = θ

The banking angle of the road is calculated as;

`\theta = tan^(-1)(((12)^2)/(52 * 9.8) )\\\\\theta = 15.8^0 \\\\`

Therefore, the banking angle of the road is 15.8⁰.