Please solve this question in hand writting step by step. **Problem Statement:**- **Width** = 4 m- **Radius of quarter circle** = 5 m (A is the center)- **Height from water level to top of the quarter circle** = 11 m- **Weight density of water**: δₓ**Task:**Find the total force exerted by the water on the gate BC.**Instructions:**Use methods and/or procedures that were discussed in our class.**Diagram Explanation:**The diagram depicts a vertical cross-section of a water tank. The key components are:- A quarter-circle section of radius 5 meters with point A as the center. This section is part of the tank boundary.- The top of the quarter-circle is situated 11 meters below the water surface.- Gate BC is the vertical side of the quarter-circle, where the total water force is to be calculated.- The gate is 4 meters wide, which extends perpendicularly to the plane of the diagram.This setup is used to analyze the hydrostatic force exerted by the water on the curved surface BC.

Answered: Width = 4 m Radius of quarter circle =…

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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Please solve this question in hand writting step by step.

**Problem Statement:**

- **Width** = 4 m
- **Radius of quarter circle** = 5 m (A is the center)
- **Height from water level to top of the quarter circle** = 11 m
- **Weight density of water**: δₓ

**Task:**
Find the total force exerted by the water on the gate BC.

**Instructions:**
Use methods and/or procedures that were discussed in our class.

**Diagram Explanation:**

The diagram depicts a vertical cross-section of a water tank. The key components are:

- A quarter-circle section of radius 5 meters with point A as the center. This section is part of the tank boundary.
- The top of the quarter-circle is situated 11 meters below the water surface.
- Gate BC is the vertical side of the quarter-circle, where the total water force is to be calculated.
- The gate is 4 meters wide, which extends perpendicularly to the plane of the diagram.

This setup is used to analyze the hydrostatic force exerted by the water on the curved surface BC.

Expert Solution

Step 1

Introduction

In this problem, we will calculate the total force on the gate BC by first calculating the horizontal force on the gate BC, then the vertical force on the gate BC, and finally the total force on the gate BC by taking the results of the horizontal and vertical forces.

Given data:

$\begin{array}{rcl} width (b) & = & 4 m \\ radius of quater circle (R) & = & 5 m \\ height from water level to top (h) & = & 11 m \end{array}$

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