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 , which is very low compared to the usual atmospheric pressure of . 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 to while maintaining constant temperature and volume. If the normal drag force on the Hyperloop is , 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