Use the values RE = 6370 km = 3960 mi for the radius of the earthIf you want to design the...

Use the values RE = 6370 km = 3960 mi for the radius of the earth

If you want to design the cars of a train to tilt as the train goes around curves in order to achieve maximum passenger comfort, what is the relationship between the desired tilt angle θ. the velocity v of the train, and the instantaneous radius of curvature, ρ, of the track?