The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if h1= 0.7 m, h2= 0.6 m, and h3= 0.8 m. Take the densities of water, oil, and mercury to be 1000 kg/m3, 850 kg/m3, and 13,600 kg/m³, respectively. Oil Air Water h Mercury The gage pressure of air in the tank is 49.8 kPa.
The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if h1= 0.7 m, h2= 0.6 m, and h3= 0.8 m. Take the densities of water, oil, and mercury to be 1000 kg/m3, 850 kg/m3, and 13,600 kg/m³, respectively. Oil Air Water h Mercury The gage pressure of air in the tank is 49.8 kPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if \( h_1 = 0.7 \, \text{m} \), \( h_2 = 0.6 \, \text{m} \), and \( h_3 = 0.8 \, \text{m} \). Take the densities of water, oil, and mercury to be \( 1000 \, \text{kg/m}^3 \), \( 850 \, \text{kg/m}^3 \), and \( 13,600 \, \text{kg/m}^3 \), respectively.
*Diagram Explanation:*
The diagram depicts a vertical cross-section of a manometer, which is an instrument used to measure pressure. The manometer consists of three connected fluids: water, oil, and mercury.
- The manometer tube is initially filled with oil.
- One side of the tube is connected to the air-filled tank above the water line.
- \( h_1 \) represents the height difference of water in the tank from the air-water interface.
- \( h_2 \) is the height of the oil column.
- \( h_3 \) is the height of the mercury.
The gage pressure of air in the tank is indicated as:
\[ \boxed{49.8} \, \text{kPa} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb5e3d88-b796-4443-b241-fc3b9985c73a%2Fdfbfe4a7-caa1-44b4-8030-c3a9f056a9dd%2Fi22xoa_processed.png&w=3840&q=75)
Transcribed Image Text:The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in the figure. Determine the gage pressure of air in the tank if \( h_1 = 0.7 \, \text{m} \), \( h_2 = 0.6 \, \text{m} \), and \( h_3 = 0.8 \, \text{m} \). Take the densities of water, oil, and mercury to be \( 1000 \, \text{kg/m}^3 \), \( 850 \, \text{kg/m}^3 \), and \( 13,600 \, \text{kg/m}^3 \), respectively.
*Diagram Explanation:*
The diagram depicts a vertical cross-section of a manometer, which is an instrument used to measure pressure. The manometer consists of three connected fluids: water, oil, and mercury.
- The manometer tube is initially filled with oil.
- One side of the tube is connected to the air-filled tank above the water line.
- \( h_1 \) represents the height difference of water in the tank from the air-water interface.
- \( h_2 \) is the height of the oil column.
- \( h_3 \) is the height of the mercury.
The gage pressure of air in the tank is indicated as:
\[ \boxed{49.8} \, \text{kPa} \]
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