Depth of Lake Surface for 3x Atmospheric Pressure: 20m

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To determine the depth at which the total pressure in a lake equals three times the atmospheric pressure, the equation P = pgh is used, incorporating atmospheric pressure. The calculation shows that at a depth of 30 meters, the pressure equals 300 kPa, which is three times the standard atmospheric pressure. However, the answer key states the correct depth is 20 meters. The discrepancy was resolved by the poster, who later clarified that they figured out the solution independently. The discussion highlights the importance of correctly applying pressure equations in fluid mechanics.
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Homework Statement


At what depth a lake surface is the total pressure 3 times the normal atmospheric pressure?

Homework Equations



P=pgh this is the equation for liquid pressure.

About total pressure we should add also the atmospheric pressure which is pushing from above the surface of the liquid.

The Attempt at a Solution


Pl + Patm=pgh
so, 300kPa=1000kg/m3*10m/s2*h... the answer is 30m, but in the answer key is 20m.
 
Last edited:
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Thank you but don't need. Figured it out.Sorry for posting it too early.
 

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