Question

Calculate the force on the slide wire in Figure\[{\rm{11}}{\rm{.29}}\]if it is\[{\rm{3}}{\rm{.50 cm}}\]long and the fluid is ethyl alcohol.

Short answer

The force exerted into the rectangular film is obtained as: \[{\rm{1}}{\rm{.56 \times 1}}{{\rm{0}}^{{\rm{ - 3}}}}{\rm{ N}}\].

Step-by-step solution

Conceptual Introduction

Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.

Given data

The tensions between molecules that cause a liquid's surface to compress to the lowest feasible surface area.

The surface tension \(\sigma \) of ethyl alcohol is \[{\rm{0}}{\rm{.0223 N/m}}\] from the table.

The length L of the fluid is \[{\rm{0}}{\rm{.035 m}}\].

Step 3: Force due to surface tension in rectangular surface

The formula for flat plate surface tension force is:

\[\begin{array}{c}F = 2\sigma L\\ = \left( 2 \right)\left( {0.0223} \right)\left( {0.035} \right)\\ = 1.56 \times {10^{ - 3}}\;{\rm{N}}\end{array}\]

The force exerted into the rectangular film is: \[{\rm{1}}{\rm{.56 \times 1}}{{\rm{0}}^{{\rm{ - 3}}}}{\rm{ N}}\].