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Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is?
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Pressure of 200kp is equivalent to a head of x metres in a homogeneous...
Conversion of Pressure to Head
Density of Liquid
Depth of Centre of Pressure
Therefore, the depth of the centre of pressure from the free surface is equal to H/2 + d²/16.
- Given: Pressure (P) = 200 kPa
- Let's assume the density of the liquid as ρ
- Acceleration due to gravity = g = 9.81 m/s²
- Using the formula, P = ρgh, where h is the height of the liquid column
- h = P/(ρg)
- Now, we need to find the density of the liquid to proceed further
Density of Liquid
- Given: Diameter (d) at the free surface
- Let's assume the height of the liquid column as H
- Free surface area = πd²/4
- Volume of the liquid = πd²H/4
- Let's assume the mass of the liquid as m
- Mass = ρV = ρ(πd²H/4)
- ρ = m/(πd²H/4)
Depth of Centre of Pressure
- The depth of the centre of pressure from the free surface is given by the formula:
- dcp = H/2 + I/Ad
- Where I is the second moment of area of the liquid column about its centroid and A is the cross-sectional area of the column.
- The second moment of area can be calculated using the formula:
- I = πd⁴/64
- Hence, dcp = H/2 + (πd²/4)(πd⁴/64)/(πd²/4)
- dc p = H/2 + d²/16
Therefore, the depth of the centre of pressure from the free surface is equal to H/2 + d²/16.
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Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is?
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Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is? 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 Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is?.
Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is? 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 Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pressure of 200kp is equivalent to a head of x metres in a homogeneous liquid with its diameter d at the free surface the depth of centre of pressure from the free surface is?.
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