Some Graphical Solutions of Electric Railway Problems
Some Graphical Solutions of Electric Railway Problems
Alonzo Morris Buck
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A smooth graph passing through the points thus plotted is the true distance-time curve. As in the case of the speed-time curve, the points located are actually on the curve and not on tangents. The construction is accurate so long as the deviation of the speed-time curve from a straight line is negligible during each increment under consideration. It is not claimed that this method of determining distance is more accurate than the use of the integraph or the planimeter, but that it is of more r...eady application, and gives results which are as accurate as are ordinarily obtainable within the limitations of curve plotting. The error can be made as small as desired by taking incre- ments of time of such magnitude that the speed-time curve is prac- tically straight during any one of them, as explained. IX. APPLICATIONS OF GRAPHICAL METHOD FOR SPEED-TIME AND DiSTANCE-TlME CURVES A problem frequently met with in railway service is the determi- nation of the exact points of cutting off power and of applying brakes in order to make a run of fixed distance in a given time.
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