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Determine the gage reading P in psi. SG of Hg is 13.57. Show your work

Determine the gage reading P in psi. SG of Hg is 13.57. Show your work

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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Determine the gage reading P in psi. SG of Hg is 13.57. Show your work

**Diagram Description:** The diagram illustrates a U-tube manometer, which is open to the atmosphere. The purpose is to determine the gauge reading, denoted as \( P \). **Key Details and Labels:** 1. **Open End:** The left side of the manometer is open to the atmosphere. 2. **Left Arm of the U-tube:** - Total filled height with mercury (\( Hg \)) on the side open to the atmosphere is 10 inches. 3. **Right Arm of the U-tube:** - Contains two different liquids in sequence: - **Oil** with a specific gravity (\( SG \)) of 0.8, filling a 5-inch section from the junction upwards. - **A second oil** with \( SG = 1.05 \) above the initial oil, continuing downward for a height of 15 feet. 4. **Measurements and Labels:** - The left side, filled with mercury, is marked with a height of 10 inches above the oil-liquid interface. - The right side has a height difference due to the presence of both oils, with an overall height of 15 feet between the oil-Hg interface and the lower end. - The question is to determine the pressure \( P \), which is the gauge reading at the lower section of the right tube. **Objective:** Calculate the gauge reading \( P \) taking into account the heights and densities of the liquids used, relying on principles of fluid statics.
Transcribed Image Text:**Diagram Description:** The diagram illustrates a U-tube manometer, which is open to the atmosphere. The purpose is to determine the gauge reading, denoted as \( P \). **Key Details and Labels:** 1. **Open End:** The left side of the manometer is open to the atmosphere. 2. **Left Arm of the U-tube:** - Total filled height with mercury (\( Hg \)) on the side open to the atmosphere is 10 inches. 3. **Right Arm of the U-tube:** - Contains two different liquids in sequence: - **Oil** with a specific gravity (\( SG \)) of 0.8, filling a 5-inch section from the junction upwards. - **A second oil** with \( SG = 1.05 \) above the initial oil, continuing downward for a height of 15 feet. 4. **Measurements and Labels:** - The left side, filled with mercury, is marked with a height of 10 inches above the oil-liquid interface. - The right side has a height difference due to the presence of both oils, with an overall height of 15 feet between the oil-Hg interface and the lower end. - The question is to determine the pressure \( P \), which is the gauge reading at the lower section of the right tube. **Objective:** Calculate the gauge reading \( P \) taking into account the heights and densities of the liquids used, relying on principles of fluid statics.
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