An "emergency blow" is a procedure used by military submarines to quickly rise to the surface in case of trouble. It involves us
ing compressed air to pump out ballast water from its tanks.Suppose the submarine SSN Cthulhu has a displacement volume when fully submerged of 32000 m3. It is submerged with neutral buoyancy at a periscope depth of 30m when an emergency arises disabling its propulsion and other critical systems.Neglecting the pumped air’s density (much lower than that of water) and water resistance, what mass of water would this submarine have to pump out suddenly to make it to the surface in 30 seconds?
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Answer:
Explanation:
Length of each segment is
Speed of wave in first segment is
Speed of wave in second segment is
Speed of wave in third segment is
Now time for the transverse wave to propagate is
simplifying we get