Underwater Pressure: 9.42 ATM, Find Vessel's Depth

AI Thread Summary
To determine the depth of a vessel submerged in fresh water at a pressure of 9.42 ATM, the formula P = Po + pgh is used, where P is the total pressure, Po is the atmospheric pressure, p is the water density (1000 kg/m^3 for fresh water), and h is the depth. The atmospheric pressure at sea level is approximately 1 ATM, so the pressure due to the water column can be calculated by subtracting this from the total pressure. This results in a pressure of 8.42 ATM exerted by the water column. By rearranging the formula to solve for depth (h), the depth can be calculated using the known values. The discussion emphasizes the importance of understanding the relationship between pressure and depth in fluid mechanics.
cchiapuzio
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Homework Statement


The pressure exerted on an underwater vessel is 9.42 ATM. If the vessel is in fresh water, to what depth has the vessel descended?

2. Formula

P=Po + pgh

It is fresh water so p=1000 kg/m^3
 
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Hi cchiapuzio and welcome to the forum!
Do you know any formula that relates pressure vs depth? If yes, post it here and try to use it. :smile:
Also, what is water density?
 
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