6.8 in PA Water FIGUD
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:**Problem 3.70: Well-Type Manometer**
**Objective:**
Calculate \( p_A \) using the well-type manometer depicted in Figure 3.34.
**Description:**
The diagram shows a well-type manometer connected to a container with a gas at pressure \( p_A \). The manometer uses water as the fluid.
**Details:**
- The manometer reading shows a height difference of 6.8 inches between the liquid levels in the two arms of the manometer.
- The water in the manometer moves up to balance the pressure difference between the gas and the atmosphere.
**Explanation:**
A manometer measures pressure by balancing the weight of a fluid column. In this setup, the well-type design provides a simple method to gauge pressure differences via the height of the fluid.
**Figure 3.34:**
- Shows the configuration of the well-type manometer with labels indicating the water level and the measured height difference.
- The left side illustrates the container and the entry point for the gas, while the right side shows the open arm of the manometer with the water column.
This exercise requires understanding of basic fluid mechanics principles to calculate the unknown pressure.
Transcribed Image Text:### Figure 3.33: Problem 3.69
#### Description of Diagram
The diagram illustrates a manometer connected to a vertical section of a pipe containing water. The manometer is used to measure the pressure difference between two points, labeled A and B, in the pipe.
- **Pipe Height:**
- The length of the water column above point A is 6 feet.
- **Manometer Setup:**
- The manometer consists of a U-shaped tube.
- The left side of the U-tube is open to the pipe at point B, at the top of the water column.
- The right side of the U-tube is open to the atmosphere and contains oil with a specific gravity of 0.90.
- **Fluid Levels:**
- On the left side (connected to point B), the water level is 3 feet from point B upward.
- The right side of the manometer shows the oil level being 2 feet higher than the water level on the left side.
### Problem 3.69
The task is to calculate the difference in pressure between points A and B, designated as \( P_A - P_B \).
### Explanation
The manometer measures the pressure difference between two points by balancing the weight of the liquid columns. Given the specific gravity of oil and the heights of the liquid columns, it's possible to determine the pressure difference using the hydrostatic pressure principle.
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