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This problem uses Figure 1 .Consider a flat plate of thickness h submerged in a liquid of density (p). with the plate parallel to the free surface, as shown in the figure. The area of the top (and also bottom) surface of the place is A, and its distance to the free surface is s. Match the balancing pressures and forces to their correct expression. Figure 1 PrgsA Pr8(s+h)A Gauge pressure on the top of the plate pf'g*(s+h)*A Gauge pressure on the bottom of the plate pf*g*s Hydrostatic force on the top of the plate pf*g"(s+h) Hydrostatic force on the bottom of the plate pf*g*s*A > > >

This problem uses Figure 1 .Consider a flat plate of thickness h submerged in a liquid of density (p). with the plate parallel to the free surface, as shown in the figure. The area of the top (and also bottom) surface of the place is A, and its distance to the free surface is s. Match the balancing pressures and forces to their correct expression. Figure 1 PrgsA Pr8(s+h)A Gauge pressure on the top of the plate pf'g*(s+h)*A Gauge pressure on the bottom of the plate pf*g*s Hydrostatic force on the top of the plate pf*g"(s+h) Hydrostatic force on the bottom of the plate pf*g*s*A > > >

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Educational Content: Understanding Hydrostatic Pressure and Force **Topic:** Hydrostatics - Pressure and Force on Submerged Surfaces --- **Problem Description:** Consider a flat plate of thickness \( h \) submerged in a liquid of density \( \rho \), with the plate parallel to the free surface. The area of the top (and also bottom) surface of the plate is \( A \), and its distance to the free surface is \( s \). Match the balancing pressures and forces to their correct expression. **Figure 1 Explanation:** - The diagram illustrates a flat plate submerged in a liquid. - The vertical dimension from the free surface to the top of the plate is labeled \( s \). - The thickness of the plate is labeled \( h \). - The area of the top and bottom surfaces of the plate is denoted by \( A \). - Arrow indicators show the hydrostatic forces and pressures acting on the top and bottom surfaces of the plate. - The expressions for the pressures and forces are shown as: - **Top Surface:** \(\rho g s A\) - **Bottom Surface:** \(\rho g (s + h) A\) **Matching Table for Pressure and Forces:** 1. **Gauge pressure on the top of the plate:** - Expression: \(\rho_f \cdot g \cdot (s + h) \cdot A\) - This is selected from the provided options. 2. **Gauge pressure on the bottom of the plate:** - Expression: \(\rho_f \cdot g \cdot s\) - This is selected from the provided options. 3. **Hydrostatic force on the top of the plate:** - Expression: \(\rho_f \cdot g \cdot (s + h)\) - This matches the pressure applied to the submerged area. 4. **Hydrostatic force on the bottom of the plate:** - Expression: \(\rho_f \cdot g \cdot s \cdot A\) - This is the force exerted by the liquid pressure on the area. **Key Concepts:** - **Hydrostatic Pressure:** Pressure within a fluid is constant at any given depth and is independent of the shape of the container. - **Gauge Pressure:** Pressure measured with respect to the local atmospheric pressure. - **Hydrostatic Force:** Force exerted by a
Transcribed Image Text:### Educational Content: Understanding Hydrostatic Pressure and Force **Topic:** Hydrostatics - Pressure and Force on Submerged Surfaces --- **Problem Description:** Consider a flat plate of thickness \( h \) submerged in a liquid of density \( \rho \), with the plate parallel to the free surface. The area of the top (and also bottom) surface of the plate is \( A \), and its distance to the free surface is \( s \). Match the balancing pressures and forces to their correct expression. **Figure 1 Explanation:** - The diagram illustrates a flat plate submerged in a liquid. - The vertical dimension from the free surface to the top of the plate is labeled \( s \). - The thickness of the plate is labeled \( h \). - The area of the top and bottom surfaces of the plate is denoted by \( A \). - Arrow indicators show the hydrostatic forces and pressures acting on the top and bottom surfaces of the plate. - The expressions for the pressures and forces are shown as: - **Top Surface:** \(\rho g s A\) - **Bottom Surface:** \(\rho g (s + h) A\) **Matching Table for Pressure and Forces:** 1. **Gauge pressure on the top of the plate:** - Expression: \(\rho_f \cdot g \cdot (s + h) \cdot A\) - This is selected from the provided options. 2. **Gauge pressure on the bottom of the plate:** - Expression: \(\rho_f \cdot g \cdot s\) - This is selected from the provided options. 3. **Hydrostatic force on the top of the plate:** - Expression: \(\rho_f \cdot g \cdot (s + h)\) - This matches the pressure applied to the submerged area. 4. **Hydrostatic force on the bottom of the plate:** - Expression: \(\rho_f \cdot g \cdot s \cdot A\) - This is the force exerted by the liquid pressure on the area. **Key Concepts:** - **Hydrostatic Pressure:** Pressure within a fluid is constant at any given depth and is independent of the shape of the container. - **Gauge Pressure:** Pressure measured with respect to the local atmospheric pressure. - **Hydrostatic Force:** Force exerted by a
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