The cross-section of an open tank is shown below at left. BC is a cylindrical surface with radius r = 6 ft, and the tank water depth is h = 10 ft. A free body diagram (FBD) for hydrostatic analysis is shown below at right. Use this information to solve problems 12 through 15 on a per unit width (into the page) basis. FBD: D A OThe magnitude of the horizontal force F, is nearest la) 490 lb/ft width of tank (b) 1610 lb/ft width of tank (c) 3120 lb/ft width of tank (d) 12.5 lb/ft width of tank (e) None of the above are close to being correct TE - THANK YOU

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The cross-section of an open tank is shown below at left. BC is a cylindrical surface with radius r = 6 ft, and the tank water depth is h = 10 ft. A free body diagram (FBD) for hydrostatic analysis is shown below at right. Use this information to solve problems 12 through 15 on a per unit width (into the page) basis.

**[Image description]**

The image consists of two main sections:

1. **Cross-section Diagram (Left):**
   - This is a sectional view of an open tank filled with water up to a height h = 10 ft.
   - BC is a cylindrical surface with a radius r = 6 ft.
   - Points A, B, B, and C are marked: 
     - A is at the top left boundary of the tank (water surface level).
     - B is directly below A at the bottom of the tank.
     - C is to the right of B (forming the curved surface BC).

2. **Free Body Diagram (Right):**
   - This illustrates the forces acting on the section BC.
   - Points A, B, C, D, and E are marked:
     - AB is a vertical line denoting the water surface level and tank depth respectively.
     - BC is the cylindrical surface.
     - D is at the top right boundary of the tank (water surface level at horizontal right).
     - E is where the line DE intersects the curved surface BC.
   - **Forces:**
     - \( F_x \) (horizontal force) is represented by a red arrow pointing to the right.
     - \( F_y \) (vertical force) is represented by a yellow arrow pointing downward.
     - \( Y_p \) is marked, showing the location of the center of pressure.

**Functional Analysis Questions:**

1. **The magnitude of the horizontal force \( F_x \) is nearest:**
   - (a) 490 lb/ft width of tank
   - (b) 1610 lb/ft width of tank
   - (c) 3120 lb/ft width of tank
   - (d) 12.5 lb/ft width of tank
   - (e) None of the above are close to being correct

2. **The center of pressure \( Y_p \) is ______________ ft below the water surface.**

3. **The magnitude of the vertical
Transcribed Image Text:The cross-section of an open tank is shown below at left. BC is a cylindrical surface with radius r = 6 ft, and the tank water depth is h = 10 ft. A free body diagram (FBD) for hydrostatic analysis is shown below at right. Use this information to solve problems 12 through 15 on a per unit width (into the page) basis. **[Image description]** The image consists of two main sections: 1. **Cross-section Diagram (Left):** - This is a sectional view of an open tank filled with water up to a height h = 10 ft. - BC is a cylindrical surface with a radius r = 6 ft. - Points A, B, B, and C are marked: - A is at the top left boundary of the tank (water surface level). - B is directly below A at the bottom of the tank. - C is to the right of B (forming the curved surface BC). 2. **Free Body Diagram (Right):** - This illustrates the forces acting on the section BC. - Points A, B, C, D, and E are marked: - AB is a vertical line denoting the water surface level and tank depth respectively. - BC is the cylindrical surface. - D is at the top right boundary of the tank (water surface level at horizontal right). - E is where the line DE intersects the curved surface BC. - **Forces:** - \( F_x \) (horizontal force) is represented by a red arrow pointing to the right. - \( F_y \) (vertical force) is represented by a yellow arrow pointing downward. - \( Y_p \) is marked, showing the location of the center of pressure. **Functional Analysis Questions:** 1. **The magnitude of the horizontal force \( F_x \) is nearest:** - (a) 490 lb/ft width of tank - (b) 1610 lb/ft width of tank - (c) 3120 lb/ft width of tank - (d) 12.5 lb/ft width of tank - (e) None of the above are close to being correct 2. **The center of pressure \( Y_p \) is ______________ ft below the water surface.** 3. **The magnitude of the vertical
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