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Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.?
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Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flo...
Introduction
The measurement of pressure in fluids can be efficiently conducted using a simple manometer. In this case, we are measuring the pressure of oil flowing in a pipeline using a manometer connected to the atmosphere.
Key Concepts
- Specific Gravity (sp.gr): The specific gravity of a fluid is the ratio of its density to the density of a reference fluid, typically water. For oil, sp.gr = 0.8, and for mercury, sp.gr = 13.6.
- Height Difference: The height difference between the mercury column and the oil column provides a measure of the pressure in the pipeline.
Pressure Calculations
1. Determine the Density of Fluids:
- Density of oil:
- \( \rho_{oil} = 0.8 \times 1000 \, \text{kg/m}^3 = 800 \, \text{kg/m}^3 \)
- Density of mercury:
- \( \rho_{mercury} = 13.6 \times 1000 \, \text{kg/m}^3 = 13600 \, \text{kg/m}^3 \)
2. Height of Mercury Column:
- Given that the center of the pipe is 9 cm below the mercury level, we convert this to meters:
- Height (h) = 0.09 m
3. Pressure Difference Calculation:
- The pressure difference (ΔP) created by the height of the mercury column can be calculated using the formula:
\[
\Delta P = \rho_{mercury} \cdot g \cdot h
\]
- Where \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).
4. Final Result:
- The pressure of the oil can be derived from the pressure difference, providing a measure of the pressure in the pipeline relative to atmospheric pressure.
Conclusion
The manometer provides a simple yet effective means of measuring the pressure of oil within a pipeline through the height difference of the mercury column, allowing for practical applications in fluid mechanics and engineering assessments.
The measurement of pressure in fluids can be efficiently conducted using a simple manometer. In this case, we are measuring the pressure of oil flowing in a pipeline using a manometer connected to the atmosphere.
Key Concepts
- Specific Gravity (sp.gr): The specific gravity of a fluid is the ratio of its density to the density of a reference fluid, typically water. For oil, sp.gr = 0.8, and for mercury, sp.gr = 13.6.
- Height Difference: The height difference between the mercury column and the oil column provides a measure of the pressure in the pipeline.
Pressure Calculations
1. Determine the Density of Fluids:
- Density of oil:
- \( \rho_{oil} = 0.8 \times 1000 \, \text{kg/m}^3 = 800 \, \text{kg/m}^3 \)
- Density of mercury:
- \( \rho_{mercury} = 13.6 \times 1000 \, \text{kg/m}^3 = 13600 \, \text{kg/m}^3 \)
2. Height of Mercury Column:
- Given that the center of the pipe is 9 cm below the mercury level, we convert this to meters:
- Height (h) = 0.09 m
3. Pressure Difference Calculation:
- The pressure difference (ΔP) created by the height of the mercury column can be calculated using the formula:
\[
\Delta P = \rho_{mercury} \cdot g \cdot h
\]
- Where \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).
4. Final Result:
- The pressure of the oil can be derived from the pressure difference, providing a measure of the pressure in the pipeline relative to atmospheric pressure.
Conclusion
The manometer provides a simple yet effective means of measuring the pressure of oil within a pipeline through the height difference of the mercury column, allowing for practical applications in fluid mechanics and engineering assessments.
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Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.?
Question Description
Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.?.
Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simple manometer is used to measure the pressure of oil (sp.gr=0.8)flowing in a pipeline. its right limb is open to the atmosphere and left limb is connected to the pipe. the centre of pipe is 9 cm below the level of mercury(sp.gr=13.6) in the right limb.?.
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