Suppose you are designing a monorail transportation system that will travel at 50 m/s, and...

Suppose you are designing a monorail transportation system that will travel at 50 m/s, and you decide that the angle θ that the cars swing out from the vertical when they go through a turn must not be larger than 20°. If the turns in the track consist of circular arcs of constant radius R, what is the minimum allowable value of R? (See Active Example 14.6.)