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

Data: r = 288 m,

v₀ = 216 km/h

= `216 xx 5/18`

= 60 m/s,

g = 9.8 m/s²

∴ `tan theta = v_0^2/(rg)`

= `(60)^2/(288 xx 9.8)`

= `3600/(288 xx 9.8)`

= `100/(8 xx 9.8)`

= `25/(2 xx 9.8)`

= `25/19.6`

= 1.276

∴ The required angle of banking,

θ = tan⁻¹ (0.1276) = 7°16′