This problem uses Figure 2. Select all that are true about this manometer set-up. Air Tank (A) Z₁ Y₁ (1) (2) P₁-P₁ = 1²1 - 7222 P4 - PA = 71 (21 +22) P₁ = PA-1²1 + 72²2 PA = P₁ Open (3) (4) Z₂ Y2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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This problem uses Figure 2. Select all that are true about this manometer set-up.

**Diagram Explanation:**
The diagram shows a manometer connected to an air tank, labeled as (A). The setup includes the following components:

- The air tank on the left side is marked with point (A).
- A U-shaped tube is filled with a fluid and exposed to the atmosphere at the right-hand side opening labeled "Open."
- There are four key points marked on the diagram:
  - (1) and (2) are on the left side of the U-tube, with the fluid having a vertical distance \( Z_1 \).
  - (3) and (4) are on the right side, with the fluid having a vertical distance \( Z_2 \).
- The densities of the fluids on the left and right sides are represented by \( \gamma_1 \) and \( \gamma_2 \) respectively.

**Equations:**
- \(\boxed{\quad} P_4 - P_A = \gamma_1 z_1 - \gamma_2 z_2 \)
- \(\boxed{\quad} P_4 - P_A = \gamma_1 (z_1 + z_2) \)
- \(\boxed{\quad} P_4 = P_A - \gamma_1 z_1 + \gamma_2 z_2 \)
- \(\boxed{\quad} P_A = P_1 \)

**Instructions:**
Select all the equations that are true for this manometer setup.
Transcribed Image Text:This problem uses Figure 2. Select all that are true about this manometer set-up. **Diagram Explanation:** The diagram shows a manometer connected to an air tank, labeled as (A). The setup includes the following components: - The air tank on the left side is marked with point (A). - A U-shaped tube is filled with a fluid and exposed to the atmosphere at the right-hand side opening labeled "Open." - There are four key points marked on the diagram: - (1) and (2) are on the left side of the U-tube, with the fluid having a vertical distance \( Z_1 \). - (3) and (4) are on the right side, with the fluid having a vertical distance \( Z_2 \). - The densities of the fluids on the left and right sides are represented by \( \gamma_1 \) and \( \gamma_2 \) respectively. **Equations:** - \(\boxed{\quad} P_4 - P_A = \gamma_1 z_1 - \gamma_2 z_2 \) - \(\boxed{\quad} P_4 - P_A = \gamma_1 (z_1 + z_2) \) - \(\boxed{\quad} P_4 = P_A - \gamma_1 z_1 + \gamma_2 z_2 \) - \(\boxed{\quad} P_A = P_1 \) **Instructions:** Select all the equations that are true for this manometer setup.
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