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College Physics (Urone)
Found in: Page 398

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Short Answer

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.

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

See the step by step solution

Step by Step Solution

Step 1: 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.

Step 2: 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: \[{\rm{1}}{\rm{.56 \times 1}}{{\rm{0}}^{{\rm{ - 3}}}}{\rm{ N}}\].

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