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The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure?
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The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2....
Given:
Force exerted by oil on the gate:
Position of centre of pressure:
- Diameter of pipe = 3 m
- Pressure at the centre of pipe = 29.43 N/cm2
- Specific gravity of oil = 0.87
Force exerted by oil on the gate:
- Assuming the gate valve is closed, the oil in the pipe is in hydrostatic equilibrium
- Therefore, the pressure at any point in the oil column is directly proportional to its depth from the surface
- The force exerted by the oil on the gate can be calculated as:
- F = ρghA
- Where ρ is the density of the oil, g is the acceleration due to gravity, h is the depth of the oil column above the gate and A is the area of the gate
- Using the specific gravity of oil, ρ = 0.87 x ρwater
- Assuming the pipe is vertical, h = 1.5 m (half of the pipe diameter)
- Area of the gate = πr^2, where r = 1.5 m (radius of pipe)
- Therefore, F = 0.87 x 9.81 x 1.5 x π x (1.5)^2 = 188.95 kN
Position of centre of pressure:
- The centre of pressure is the point at which the resultant force on the gate acts
- Assuming the gate valve is flat and horizontal, the centre of pressure is located at a distance of h/2 from the bottom of the gate
- Where h is the depth of the oil column above the gate
- Therefore, the centre of pressure is located at a distance of 0.75 m from the bottom of the gate
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The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure?
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The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure?.
The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pressure at the centre of a pipe of a diameter 3 m is 29.43 N/cm2. The pipe contains oil of specific gravity 0.87 and is closed with a gate valve. Find the force exerted by the oil on the gate and position of centre of pressure?.
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