Hi, Please, can you explain step by step. The fast train known asTGV Atlantique

Question

Hi,
Please, can you explain step by step. The fast train known asTGV Atlantique ( Train Grande Vitesse)
that runs south from Paris to LeMans in France has a top speedof
310km/h.
(a) If the train goes around a curve at this speed and theacceleration
experienced by the passengers is to be limited to 0.05g, what isthe smallest
radius of curvature for the track that can be tolerated?
(b) If there is a curve with a 0.94 km radius, to what speed mustthe train be
slowed? Thank You Hi,
Please, can you explain step by step. The fast train known asTGV Atlantique ( Train Grande Vitesse)
that runs south from Paris to LeMans in France has a top speedof
310km/h.
(a) If the train goes around a curve at this speed and theacceleration
experienced by the passengers is to be limited to 0.05g, what isthe smallest
radius of curvature for the track that can be tolerated?
(b) If there is a curve with a 0.94 km radius, to what speed mustthe train be
slowed? Thank You The fast train known asTGV Atlantique ( Train Grande Vitesse)
that runs south from Paris to LeMans in France has a top speedof
310km/h.
(a) If the train goes around a curve at this speed and theacceleration
experienced by the passengers is to be limited to 0.05g, what isthe smallest
radius of curvature for the track that can be tolerated?
(b) If there is a curve with a 0.94 km radius, to what speed mustthe train be
slowed? Thank You

Explanation / Answer

a) v=310km/h(1hr/3600s)(1000m/1km)=86.1 m/s and thena=v2/r so .05(9.8m/s2)=(86.1)2/rthen r=1.5129x104 m. b) (.05)(9.8)=v2/(.94x103m) then v=21.46m/s

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