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A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)
- a)22.856 kPa
- b)12.94 kPa
- c)6.48 kPa
- d)18.96 kPa
Correct answer is option 'D'. Can you explain this answer?
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Given data:
Inlet diameter (D1) = 150 mm
Throat diameter (D2) = 75 mm
Throat height (h) = 225 mm
Specific gravity (γ) = 0.78
Flow rate (Q) = 0.029 m3/s
Coefficient of discharge (Cd) = 0.96
To find: Pressure difference between inlet and throat.
Assumptions:
1. The fluid is incompressible and non-viscous.
2. The flow is steady and one-dimensional.
3. The Bernoulli's equation is applicable.
Steps to solve the problem:
1. Calculate the area of inlet and throat using their respective diameters.
A1 = π/4 x (D1)² = 17671.16 mm²
A2 = π/4 x (D2)² = 4417.79 mm²
2. Calculate the velocity of fluid at the inlet using the discharge equation.
Q = A1 x V1
V1 = Q/A1 = 0.029/(17671.16/10^6) = 1.644 m/s
3. Calculate the velocity of fluid at the throat using the continuity equation.
A1 x V1 = A2 x V2
V2 = (A1/A2) x V1 = (17671.16/4417.79) x 1.644 = 6.616 m/s
4. Calculate the pressure difference between inlet and throat using Bernoulli's equation.
(P1/γ) + (V1²/2g) + h = (P2/γ) + (V2²/2g)
P1 - P2 = γ x (V1² - V2²)/2 - γ x h
P1 - P2 = 0.78 x ((1.644)² - (6.616)²)/2 - 0.78 x 0.225
P1 - P2 = -18.96 kPa (negative sign indicates that pressure at the throat is higher than at the inlet)
Therefore, the pressure difference between the inlet and throat will be 18.96 kPa. Hence, the correct answer is option 'D'
Inlet diameter (D1) = 150 mm
Throat diameter (D2) = 75 mm
Throat height (h) = 225 mm
Specific gravity (γ) = 0.78
Flow rate (Q) = 0.029 m3/s
Coefficient of discharge (Cd) = 0.96
To find: Pressure difference between inlet and throat.
Assumptions:
1. The fluid is incompressible and non-viscous.
2. The flow is steady and one-dimensional.
3. The Bernoulli's equation is applicable.
Steps to solve the problem:
1. Calculate the area of inlet and throat using their respective diameters.
A1 = π/4 x (D1)² = 17671.16 mm²
A2 = π/4 x (D2)² = 4417.79 mm²
2. Calculate the velocity of fluid at the inlet using the discharge equation.
Q = A1 x V1
V1 = Q/A1 = 0.029/(17671.16/10^6) = 1.644 m/s
3. Calculate the velocity of fluid at the throat using the continuity equation.
A1 x V1 = A2 x V2
V2 = (A1/A2) x V1 = (17671.16/4417.79) x 1.644 = 6.616 m/s
4. Calculate the pressure difference between inlet and throat using Bernoulli's equation.
(P1/γ) + (V1²/2g) + h = (P2/γ) + (V2²/2g)
P1 - P2 = γ x (V1² - V2²)/2 - γ x h
P1 - P2 = 0.78 x ((1.644)² - (6.616)²)/2 - 0.78 x 0.225
P1 - P2 = -18.96 kPa (negative sign indicates that pressure at the throat is higher than at the inlet)
Therefore, the pressure difference between the inlet and throat will be 18.96 kPa. Hence, the correct answer is option 'D'
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A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer?
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A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer? 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 A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer?.
A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer? 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 A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A venturimeter has its axis vertical, the inlet and throat diameter being 150 mm and 75 mm respectively. The throat is 225 mm above inlet. Petrol of specific gravity 0.78 flows up at a rate of 0.029 m3/s. The pressure difference between the inlet and throat will be (cd = 0.96 for venturimeter)a)22.856 kPab)12.94 kPac)6.48 kPad)18.96 kPaCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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