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The fast train known as the TGV Atlantique (Train Grande Vitesse) that runs south from Paris to Le Mans in France has a top speed of 310 km/h. (a) If the train goes around a curve at this speed and the acceleration experienced by the passengers is to be limited to 0.05g, what is the smallest radius of curvature for the track that can be tolerated? (b) If there is a curve with a 0.94-krn radius, to what speed must the train be slowed?

The fast train known as the TGV Atlantique (Train Grande Vitesse) that runs south from Paris to Le Mans in France has a top speed of 310 km/h. (a) If the train goes around a curve at this speed and the acceleration experienced by the passengers is to be limited to 0.05g, what is the smallest radius of curvature for the track that can be tolerated? (b) If there is a curve with a 0.94-krn radius, to what speed must the train be slowed?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
234-384_1.PNG
rmin = 15 km
Therefore, the minimum radius that can be traced by the train moving at 310 km /h and experiencing acceleration a is 15 km .

234-377_1.PNG
Therefore, the speed to which the train must be slowed is 21.5 m/s .

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