What is the Ideal Banking Angle for a Gentle Turn on a Highway?
Calculation of Ideal Banking Angle
In order to determine the ideal banking angle for a gentle turn of 1.50 km radius on a highway with a speed limit of 115 km/h, we can use the following formula:
Banking Angle = tan-1(v2 / (g * r))
Where:
- Banking Angle is the angle at which the road is banked in degrees
- v is the velocity of the car (in m/s)
- g is the acceleration due to gravity (9.8 m/s2)
- r is the radius of the turn (in meters)
Given Data:
Radius of the turn, r = 1.50 km = 1500 m
Speed limit, v = 115 km/h = 31.9 m/s
Calculation:
Substitute the given values into the formula:
Banking Angle = tan-1((31.9 m/s)2 / (9.8 m/s2 * 1500 m))
Simplify the equation:
Banking Angle = tan-1(3251.61 / 14700)
Using a calculator, we find:
Banking Angle ≈ 12.63°
Therefore, the ideal banking angle for a gentle turn of 1.50 km radius on a highway with a speed limit of 115 km/h is approximately 12.63 degrees.
What is the ideal banking angle for a gentle turn of 1.50 km radius on a highway with a 115 km/h speed limit? The ideal banking angle for a gentle turn of 1.50 km radius on a highway with a 115 km/h speed limit is approximately 12.63 degrees.