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24-Ruby IV
September 19, 2011
Question

New York - San Francisco Tunnel (движение по подземному прямому тоннелю гравитационного поезда Нью-Йорк - Сан-Франциско)

  • September 19, 2011
  • 3 replies
  • 2579 views
A train leaves New York at 9:45am EDT, heading for San Francisco...

The train system consists of a straight-line tunnel connecting the two cities. The train uses a MAGLEV (magnetic levitation) system consisting of permanent magnets in the tracks and superconductive electromagnets in the train. To accelerate it uses a combination of electromagnetic force and gravitational pull of the Earth. The deceleration comes also from the gravitational pull of the Earth, as well as aerodynamic drag of the train.

Problem: Compute the arrival time in San Francisco assuming constant propulsion force.

Video Link : 5750

Mathcad 15 file in attach

3 replies

24-Ruby IV
September 8, 2014

One article about this problem: http://twt.mpei.ac.ru/ochkov/Tunnel.pdf

24-Ruby IV
April 18, 2015

One article about this train http://hrcak.srce.hr/file/203334

24-Ruby IV
December 10, 2015

Calculations with Russian Mathcad

Earth-L-S.png