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?

Answer 1

Answer:

4.14°

Explanation:

given:

r = 1.2 km

v = 105 km/h

1) convert your given

a) r = 1.2 km to m = 1200m

b) v = 105 km/h  to m/s = 29.2 m/s

2) plug into your ideal banking angle equation

$tan^-1$($\frac{v^2}{rg}$) = $\frac{29.2^2}{(1200)(9.8)}$ = 4.14°