Question Detail
Question
The speed limit on a highway is 80 km/h around a curve of radius 300 m. What is the optimum banking angle for this curve? (1 km/h = 1000/3600 m/s, g=9.8 m/s²)
Correct Answer
Option A is the correct answer.
Detailed Explanation
First convert v: 80 km/h * (1000/3600) = 22.22 m/s. Then use tan θ = v²/(gr) = (22.22)² / (9.8 * 300) = 493.7 / 2940 = 0.168. Therefore, θ = arctan(0.168) ≈ 9.5°.
Hint
Remember to convert the speed from km/h to m/s before using the formula tan θ = v²/(gr).