Answer to Question #282366 in Physics for Charles

Question

A submarine can stand a pressure of

1400 KN/m2

above atmospheric

pressure. Find the maximum depth at

which she can work in sea water of RD

= 1.025.

Answer 1

By the definition of the pressure, we have:

$$P=\rho_{sea\ water}gh=RD_{sea\ water}\rho_wgh,$$ $$h=\dfrac{P}{RD_{sea\ water}\rho_wg},$$ $$h=\dfrac{1400\times10^3\ \dfrac{N}{m^2}}{1.025\times1000\ \dfrac{kg}{m^3}\times9.8\ \dfrac{m}{s^2}}=139\ m.$$