Water Pressure on Equator

Question

What is the water pressure at each case below?

a) 10m deep into the water at the equator (gulf of mexico).

b) 10m deep into the water at the poles

For calculation, consider both cases having the same water temperature

Answer 1

What you are asking for is the weigh of a bar or column of water 10 meters by 1 meter by 1 meter, 10 m³

Variation of gravity from equator to poles is 9.789  to 9.832 or an increase of 0.43927 percent.

density of water at 20C = 0.998 g/cm³ = 998 kg/m³

so the nominal mass is 998 kg/m³ x 10 m³ = 9980 kg

Converting that to Newtons,

equator: g = 9.789, w = 9980 kg x 9.789 = 97694 N

since we started out with 1 m²,

pressure = 97694 P

poles, g = 9.832, w = 9980 kg x 9.832 = 98123 N

pressure = 98123 P

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