Question

What is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?

a) 10.5°
b) 15.7°
c) 20.9°
d) 25.2°

Answer 1

The ideal banking angle for a gentle turn on a curved road with a given radius and speed can be calculated using a formula involving velocity, acceleration due to gravity, and radius. For the given information, the ideal banking angle is approximately 20.9°.

Step-by-step explanation:

The ideal banking angle for a gentle turn on a curved road can be determined using the formula:

tan(θ) = (v2) / (g * r)

where θ is the banking angle, v is the velocity, g is the acceleration due to gravity, and r is the radius of the turn.

Using the given information, we can calculate the angle:

θ = tan-1((105 km/h)2 / (9.8 m/s2 * 1.20 km))

θ ≈ 20.9°

Therefore, the ideal banking angle for the gentle turn is approximately 20.9° (option c).