Use this formula to calculate the pressure at depth below the surface of the oce

Question

Use this formula to calculate the pressure at depth below the surface of the ocean: Pa=(Pw)( g)( hA), where

g = 9.81 m/s^2 (gravitational acceleration), hA=12.5m, Pw=1025 kg/m^3. Notes: All pressures in this assignment are relative to atmospheric pressure. If you use SI units for depth, density, and gravity (m,kg/m^3,m/s^2), your calculated pressure will ( automatically ) be in units of Pascal (Pa), the standard SI units for pressure.

What is the water pressure in the ocean at the bottom of an iceberg (hA=12.5m) and you may assume that sea water density (Pw)=1025 kg/m^3

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Explanation / Answer

Given : formula to calculate the pressure at a depth below the surface of the ocean : Pa = Pw * g * hA

where, Pa is the pressure calculated below the ocean surface at a given depth, Pw is the salinity of ocean water, g is the acceleration due to gravity and hA is the depth.

Here, for the iceberg, depth (hA) = 12.5m

Salinity of sea water (Pw) = 1025 kg/m3

Acceleration due to gravity (g) = 9.81 m/s2.

Therefore, according to the given formula,

water pressure(Pw) = Pw * g * hA

Pw = 1025 * 12.5 * 9.81 Pa

Pw = 125690.625 Pa.

Thus, the required pressure in the ocean at the bottom of an iceberg at a depth of 12.5 m is 125690.625 Pa.

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