Chapter 2, Problem 2.23P

Interpretation Introduction

Interpretation:

An expression to relate the drain diameter and minimum water depth so that the ball remains in place is to be obtained.

Concept Introduction:

The force $\left(F\right)$

acting on a surface due to a fluid above it is defined as:

  $F=\rho gzA$ ......... (1)

Here, $\rho$ is the density of the fluid with height $z$ , $A$ is the area of the surface, and g is the acceleration due to gravity.

The pressure at a point with column height ’h’ above it is defined as:

  $p=\rho gh$ ......... (2)

Here, p is the pressure on the fluid and g is the acceleration due to gravity.

The force that leads any object to float when immersed partially or fully in a fluid is known as buoyancy or buoyant force. It is the result of the pressure differences that acts on the opposite sides of that object when immersed in the fluid which is static.