The fast French train known as the TGV (Train à GrandeVitesse) has a scheduled a

Question

The fast French train known as the TGV (Train à GrandeVitesse) has a scheduled average speed of 216 km/h. (a) If thetrain goes around a curve at that speed and the magnitude of theacceleration experienced by the passengers is to be limited to0.050g, what is the smallest radius of curvature for thetrack that can be tolerated? (in km) (b) At what speed must thetrain go around a curve with a 1.32 km radius to be at theacceleration limit? (in km/h)

Chapter 4, Problem 92

The fast French train known as the TGV (Train à GrandeVitesse) has a scheduled average speed of 216 km/h. (a) If thetrain goes around a curve at that speed and the magnitude of theacceleration experienced by the passengers is to be limited to0.050g, what is the smallest radius of curvature for thetrack that can be tolerated? (in km) (b) At what speed must thetrain go around a curve with a 1.32 km radius to be at theacceleration limit? (in km/h)

Explanation / Answer

given speed of TGV is v = 216 Km/h                             = (216km/h)(1000m/1km)(1h/3600s)                              = 60 m/s the magnitude of acceleration is a = 0.050g                                                     = 0.50*9.8                                                     = 0.49 m/s2 a) the radius of curvature is r = v2/a plugin for r b) The radius r1 = 1.32*103m the speed of train at curve is v1 =(ar1) plug in for v1 a) the radius of curvature is r = v2/a plugin for r b) The radius r1 = 1.32*103m the speed of train at curve is v1 =(ar1) plug in for v1

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