Plunging into water feet first, as streamlined as you can be

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SUMMARY

This discussion focuses on calculating the forces experienced by a person plunging into water feet first, emphasizing the importance of body positioning for streamlining. The conversation highlights that while exact calculations of forces over time are complex, a reasonable estimate can be derived by considering the volume of water displaced upon entry. The key formula discussed involves the rate of change of volume (dV/dt) to estimate the impact force experienced during the plunge.

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siddharth23
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There is a thread on plunging into water but it doesn't specify how you land. Consider that a man plunges into the water vertically with his toes pointing downwards, streamlining his body to the maximum possible extent. How can you calculate if the person falling will die or not? Rather how can you calculate the force he will be subjected to when he hits the water?
 
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There are a few old threads on that question. An exact calculation of the forces over time is very difficult, but you can get a pretty decent estimate just by considering that in the time between first touching the water and being completely submerged, a volume of water equal to the volume of the body must be displaced.
 
Right. Got that part. But will dV/dt give an idea of the force?
 

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