Pressure and density in swimming.

[haleyy89]

Homework Statement

The human lungs can function satisfactorily up to a limit where the pressure difference between the outside and inside of the lungs is 1/21 of an atmosphere. If a diver uses a snorkel for breathing, how far below the water can she swim? Assume the diver is in salt water whose density is 1042 kg/m3.

Homework Equations

The Attempt at a Solution

I think pgh, where p is density, g is gravitational acceleration, and h would be the height. I think the height would tell you how far the swimmer could go below water. I'm honestly not exactly sure where to start this one!

 

[QuarkCharmer]

That pressure has to be equal to 1/21 atm right? Remember the units are going to be different and account for that.

 

[haleyy89]

I converted the 1/21 atm to 4824 Pascals. I am still not sure how to find the height below the water the swimmer can go though?