Question

A scuba diver and a swimmer are swimming in the ocean. The diver, at the depth of 50 m is required to take precautions against high pressure at depths.
Given: ${\rho }_{water}=1000kg/m^3,g=10m/s^2,P_o={10}^{5}Pa$
1. Find the pressure difference between them.
2. Find the total pressure felt by the diver.

Answer 1

1.
Pressure difference between two depths in a fluid is given by:
$P_2-P_1=\rho g(h_2-h_1)$
$P_2-P_1=1000\times 10\times (50-0)$
$P_2-P_1=5\times {10}^{5}Pa$

2. Total pressure felt by the diver is:
$P=P_o+\rho gh$
$P={10}^5+5\times {10}^5$
$P=6\times {10}^{5}Pa$