what is the Gauge Pressure

Question

The depth of the pacific ocean in the Mariana Trench is 56, 198 ft. What is the gauge pressure at this depth?

Answer 1

Let

h = 56,198 ft ≈ 17129 m be the depth,

d = 1000 kg/m³ be the density of water,

g = 9.81 m/s² be gravitational acceleration.

Gauge pressure is defined as absolute pressure Mnium atmospheric pressure.

In your case it can be obtained simply by calculating the pressure due to

the water, and ignore the extra presure due to the atmosphere above.

The pressure due to the water is

hdg = 17129×1000×9.81 ≈ 168×10⁶ Pa ≈ 1658 atm