Hyperloop: Air can be unpleasant

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. The normal pressure in the tunnel is 99 Pa99~\mbox{Pa}, which is very low compared to the usual atmospheric pressure of 101,325 Pa101,325~\mbox{Pa}. Since the pressure is so low the Hyperloop tunnel must be well sealed to prevent outside air from rushing in. A sudden increase in air pressure in a section of the tunnel can be rather unpleasant for the passengers in the pod.

Consider for example a hole being created in the Hyperloop tunnel, which leads to a sudden increase in the local air pressure from 99 Pa99~\mbox{Pa} to 101,325 Pa101,325~\mbox{Pa} while maintaining constant temperature and volume. If the normal drag force on the Hyperloop is 320 N320~\mbox{N}, how much acceleration in g's would the passengers in the Hyperloop experience if the pod hit the region of high pressure?

Details and assumptions

  • The mass of the pod is approximately 15000 kg15000~\mbox{kg}.
  • g=9.8 m/s2g=9.8~\mbox{m/s}^2
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