(Modeling) Highway Curves A basic highway curve connecting
Chapter 2, Problem 41(choose chapter or problem)
(Modeling) Highway Curves A basic highway curve connecting two straight sections of road is often circular. In the figure, the points P and S mark the beginning and end of the curve. Let Q be the point of intersection where the two straight sections of highway leading into the curve would meet if extended. The radius of the curve is R, and the central angle u denotes how many degrees the curve turns. (Source: Mannering, F. and W. Kilareski, Principles of Highway Engineering and Traffic Analysis, Second Edition, John Wiley and Sons.) (a) If R = 965 ft and u = 37 , find the distance d between P and Q. (b) Find an expression in terms of R and u for the distance between points M and N.
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