Question

Part of a racing track is to be designed for a radius of curvature of 288 m. We are not recommending the vehicles to drive faster than 216 km/hr. With what angle should the road be tilted?

Answer 1

Given:

The radius of curvature of the track = 288m

Maximum speed = 216km/h = 60m/s

Acceleration g = 9.81 m/s²

`tanθ = "v"^2/(rg)`

tanθ = `(60^2/(288 xx 9.81))`

tanθ = `(3600/2824.8)`

tanθ = 1.275

θ = tan⁻¹(1.275)

θ ≈ 51.7°