In scuba diving, a regulator is used so that the pressure of the air the diver b

Question

In scuba diving, a regulator is used so that the pressure of the air the diver breathes is close to that of the ambient water. A reckless swimmer decides to use a hose sticking out of the surface to breathe underwater while diving in a lake. When the air pressure in the lungs is at a pressure of around 0.165 atmospheres below the ambient pressure, lung injury may occur. Find the depth at which the swimmer would experience such a pressure differential.
(in m)

Explanation / Answer

The pressure as he dives increases as *g*h

so for a pressure difference of 0.165atm = 0.165atm*1.01x10^5Pa/atm = 16665 Pa
the corresponding depth h is

h = 16665/(*g) = 16665/(1000*9.8) = 1.70m

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