The fast French train known as the TGV (Train à Grande Vitesse) has a scheduled average speed of 216 km/h. (a) If the train goes around a curve at that speed and the magnitude of the acceleration experienced by the passengers is to be limited to 0.050g, what is the smallest radius of curvature for the track that can be tolerated? (b) At what speed must the train go around a curve with a 1.00 km radius to be at the acceleration limit?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 12OQ
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The fast French train known as the TGV (Train à Grande
Vitesse) has a scheduled average speed of 216 km/h. (a) If the train
goes around a curve at that speed and the magnitude of the acceleration
experienced by the passengers is to be limited to 0.050g,
what is the smallest radius of curvature for the track that can be
tolerated? (b) At what speed must the train go around a curve with
a 1.00 km radius to be at the acceleration limit?

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