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Curvature and Maximum Permissible Speeds

Author(s): Adam Rumpf

Florida Polytechnic University

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Summary:
In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing. The shape of the track is specified as a large table…

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In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing. The shape of the track is specified as a large table of discrete coordinates rather than as a curve in closed form, which necessitates the use of a computer for numerically approximating the maximum curvature of the track.

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Version 1.0 - published on 26 Dec 2022 doi:10.25334/0339-4S35 - cite this