What is the ideal banking angle (in degrees) for a gentle turn of 1.75 km radius on a highway with a 120 km/h speed limit (about 75 mi/h), assuming everyone travels at the limit?

Ф = 4.98 °

Explanation:

Given:

R = 1.75 km = 1.75 * 10^3

g = 9.8 m/s^2

v = 120 km/h = => 33.33 m/s

required:

Ф

solution:

The angle (Ф) is given by

Ф = arctan (v^2/R*g)

= arctan (33.33^2/9.8*1.75 * 10^3)

= 4.98 °

note:

there maybe error in calculation but method is correct.