Chapter 2, Problem 2.9P

Interpretation Introduction

Interpretation: The force on the window of the submarine in the ocean is to be calculated by applying the pressure balance.

Concept introduction: The pressure on the submarine is given as,

  ${\text{p}}_{\text{a}}{\text{-p}}_{\text{b}}\text{}\text{= }\text{}\left(\text{ρ×g×h}\right)\mathrm{.......}\text{(1)}$

In the above formulae, the notations used are,

g = Acceleration due to gravity

h = Depth of sea

  $\text{ρ}$ = Density of the fluid

The area of the window is given as,

  $\begin{array}{l}\text{A}\text{=}\frac{\text{π}}{\text{4}}{\text{D}}^{\text{2}}\mathrm{.......}\text{(2)}\\ \text{A}\text{=}\text{Area}\text{of}\text{the}\text{window}\\ \text{D}\text{=}\text{Diameter}\text{of}\text{the}\text{window}\end{array}$

The force on the window is,

  $\text{F}\text{=}{\text{(p}}_{\text{a}}{\text{-p}}_{\text{b}}\text{)×A}\mathrm{.......}\text{(3)}$