Submarine implosion - dimensional analysis

Using dimensional analysis, I estimate the submarine's implosion time.
Additional remarks.
1) In the video, I assume that the air pressure in the submarine is much less than the water pressure. I also assume that the implosion process itself is practically independent of the design details of the submarine. These details are of course important for the submarine's operation in acceptable conditions (e.g. they determine its strength, maximum diving depth, etc.), but when the structure of the submarine gives up, the destruction process itself practically does not depend on the construction details.
2) A classic example of the application of dimensional analysis concerns the oscillation period T of a mathematical pendulum (i.e. a small ball on a light and inextensible thread). The period of oscillation, the time it takes for the pendulum to swing back and forth, depends on the length of the pendulum L (measured in meters) and the gravitational acceleration g (measured in m/s^2). The period is measured in seconds and we immediately get that T is given by the square root of L/g. Using the laws of physics, the period can be calculated strictly for small angles and we obtain T=2*pi*sqrt(L/g).
Materials used in the video.
Photo by Crystal Kwok on Unsplash
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