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As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe?
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As inverted u tube manometer is connected to two horizontal pipe a and...
Solution:
Given data:
- Vertical distance between the axis of pipe A and B = 30 cm
- Specific gravity of oil used as a gate fluid = 0.8
- Vertical heights of water column in two limbs of the inverted manometer = 35 cm
To determine the difference of pressure between the pipe, we need to follow some steps.
Step 1: Calculate the pressure difference due to the weight of oil
- The pressure difference due to the weight of oil can be calculated using the formula:
ΔP = ρgh
- Where,
- ΔP = pressure difference
- ρ = density of oil
- g = acceleration due to gravity
- h = height of oil column
- Density of oil can be calculated using the formula:
ρoil = ρwater x specific gravity
- Where,
- ρwater = density of water
- Specific gravity = 0.8 (given)
- Density of water = 1000 kg/m3
- Therefore, ρoil = 1000 x 0.8 = 800 kg/m3
- Height of oil column = 35 cm = 0.35 m
- Acceleration due to gravity = 9.81 m/s2
- Therefore, ΔP = 800 x 9.81 x 0.35 = 2748.6 Pa
Step 2: Calculate the pressure difference due to the difference in height of water column
- The pressure difference due to the difference in height of water column can be calculated using the formula:
ΔP = ρgh
- Where,
- ΔP = pressure difference
- ρ = density of water
- g = acceleration due to gravity
- h = height of water column
- Density of water = 1000 kg/m3
- Height of water column = difference in height of water column in two limbs of the inverted manometer
- As the heights of water column in two limbs of the inverted manometer are same, the pressure difference due to the difference in height of water column is zero.
Step 3: Calculate the total pressure difference
- The total pressure difference between the two pipes can be calculated by adding the pressure differences due to the weight of oil and the difference in height of water column.
- Therefore, total pressure difference = ΔP1 + ΔP2
- Where,
- ΔP1 = pressure difference due to the weight of oil
- ΔP2 = pressure difference due to the difference in height of water column
- Total pressure difference = 2748.6 Pa + 0 Pa = 2748.6 Pa
Therefore, the pressure difference between the two pipes is 2748.6 Pa.
Given data:
- Vertical distance between the axis of pipe A and B = 30 cm
- Specific gravity of oil used as a gate fluid = 0.8
- Vertical heights of water column in two limbs of the inverted manometer = 35 cm
To determine the difference of pressure between the pipe, we need to follow some steps.
Step 1: Calculate the pressure difference due to the weight of oil
- The pressure difference due to the weight of oil can be calculated using the formula:
ΔP = ρgh
- Where,
- ΔP = pressure difference
- ρ = density of oil
- g = acceleration due to gravity
- h = height of oil column
- Density of oil can be calculated using the formula:
ρoil = ρwater x specific gravity
- Where,
- ρwater = density of water
- Specific gravity = 0.8 (given)
- Density of water = 1000 kg/m3
- Therefore, ρoil = 1000 x 0.8 = 800 kg/m3
- Height of oil column = 35 cm = 0.35 m
- Acceleration due to gravity = 9.81 m/s2
- Therefore, ΔP = 800 x 9.81 x 0.35 = 2748.6 Pa
Step 2: Calculate the pressure difference due to the difference in height of water column
- The pressure difference due to the difference in height of water column can be calculated using the formula:
ΔP = ρgh
- Where,
- ΔP = pressure difference
- ρ = density of water
- g = acceleration due to gravity
- h = height of water column
- Density of water = 1000 kg/m3
- Height of water column = difference in height of water column in two limbs of the inverted manometer
- As the heights of water column in two limbs of the inverted manometer are same, the pressure difference due to the difference in height of water column is zero.
Step 3: Calculate the total pressure difference
- The total pressure difference between the two pipes can be calculated by adding the pressure differences due to the weight of oil and the difference in height of water column.
- Therefore, total pressure difference = ΔP1 + ΔP2
- Where,
- ΔP1 = pressure difference due to the weight of oil
- ΔP2 = pressure difference due to the difference in height of water column
- Total pressure difference = 2748.6 Pa + 0 Pa = 2748.6 Pa
Therefore, the pressure difference between the two pipes is 2748.6 Pa.
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As inverted u tube manometer is connected to two horizontal pipe a and...

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As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe?
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As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe?.
As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe?.
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As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe?, a detailed solution for As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? has been provided alongside types of As inverted u tube manometer is connected to two horizontal pipe a and b a and b through which water is flowing the vertical distance between the axis of this pipe is 30 cm when an oil of specific gravity 0.8 is used as a gate fluid the vertical heights of water column in the two limbs of the inverted manometer are found to be same the and equal to 35 cm determine the difference of pressure between the pipe? theory, EduRev gives you an
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