What is the ideal banking angle for a gentle turn of 1.75 km radius on a highway

Question

What is the ideal banking angle for a gentle turn of 1.75 km radius on a highway with a 110 km/h speed limit (about 68 mph), assuming everyone travels at the limit?
.° What is the ideal banking angle for a gentle turn of 1.75 km radius on a highway with a 110 km/h speed limit (about 68 mph), assuming everyone travels at the limit?
.° What is the ideal banking angle for a gentle turn of 1.75 km radius on a highway with a 110 km/h speed limit (about 68 mph), assuming everyone travels at the limit?
.°

Explanation / Answer

Speed = 110 km/h = 30.6 m/s
Radius = 1.75 km = 1750 m

Banked curve equilibrium requires :
Fc = m*ac = m*V^2/r = m*g*tan

tan = V^2/(r*g)
tan = 30.6^2/(1750*9.80)
= tan^-1(30.6^2/(1750*9.80))
= 3.125o

Ideal banking angle, = 3.125o

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