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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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Underwater pressure is measured in atmospheres (ATM) or pounds per square inch (PSI). 1 ATM is equivalent to the pressure at sea level, which is 14.7 PSI.
The formula for calculating underwater pressure is P = ρgh, where P is the pressure, ρ is the density of the fluid (in this case, water), g is the acceleration due to gravity, and h is the depth.
9.42 ATM means that the pressure at a certain depth underwater is 9.42 times greater than the pressure at sea level. This is equivalent to a depth of approximately 94.2 meters (308.4 feet).
A vessel's depth can be determined using a pressure gauge, which measures the pressure exerted by the water at a certain depth. The pressure reading is then used in the formula P = ρgh to calculate the depth of the vessel.
No, it is not safe for humans to be at a depth of 9.42 ATM. The recommended maximum depth for recreational scuba diving is approximately 40 meters, or 4 ATM. At a depth of 9.42 ATM, the pressure would be too great for the human body to withstand without proper equipment and training.