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Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)
Correct answer is between '60,65'. Can you explain this answer?
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Water flows through a pipe of length 3 km at the rate of 250 litres/s ...
The Darcy-Weisbach equation can be used to find the diameter of the pipe:
hf = 4f(L/D)(V^2/2g)
Where:
hf = head loss due to friction (5 m)
f = Darcy-Weisbach friction factor (unknown)
L = length of the pipe (3 km = 3000 m)
D = diameter of the pipe (unknown)
V = flow velocity (250 L/s = 0.25 m^3/s)
g = acceleration due to gravity (9.81 m/s^2)
Converting the flow velocity from m^3/s to m^2/s:
V = Q/A, where Q is the flow rate (0.25 m^3/s) and A is the cross-sectional area of the pipe (unknown)
A = (π/4)(D^2)
Plugging in the values into the Darcy-Weisbach equation:
5 = 4f(3000/D)((0.25/(π/4)(D^2))^2/2(9.81))
Simplifying:
5 = 4f(3000/D)(0.25^2/(π/4)(D^2)^2/2(9.81))
5 = 4f(3000/D)(0.25^2/(π/4)(D^4)/(2(9.81)))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(
hf = 4f(L/D)(V^2/2g)
Where:
hf = head loss due to friction (5 m)
f = Darcy-Weisbach friction factor (unknown)
L = length of the pipe (3 km = 3000 m)
D = diameter of the pipe (unknown)
V = flow velocity (250 L/s = 0.25 m^3/s)
g = acceleration due to gravity (9.81 m/s^2)
Converting the flow velocity from m^3/s to m^2/s:
V = Q/A, where Q is the flow rate (0.25 m^3/s) and A is the cross-sectional area of the pipe (unknown)
A = (π/4)(D^2)
Plugging in the values into the Darcy-Weisbach equation:
5 = 4f(3000/D)((0.25/(π/4)(D^2))^2/2(9.81))
Simplifying:
5 = 4f(3000/D)(0.25^2/(π/4)(D^2)^2/2(9.81))
5 = 4f(3000/D)(0.25^2/(π/4)(D^4)/(2(9.81)))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(π/4)(D^4))
5 = 4f(3000/D)(0.25^2(9.81)/(
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Community Answer
Water flows through a pipe of length 3 km at the rate of 250 litres/s ...
Concept:
Chezy's formula is given by
Where
Now,
The energy slope i is given by
Chezy's formula is given by
Where
Now,
The energy slope i is given by
Calculation:
Given:
L = 3 km = 3000 m, Q = 250 litres/s = 0.25 m3/s, hf = 5m, c = 50;
The velocity of flow will be
The energy slope will be
Given:
L = 3 km = 3000 m, Q = 250 litres/s = 0.25 m3/s, hf = 5m, c = 50;
The velocity of flow will be
The energy slope will be
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Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. Can you explain this answer?
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Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. 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 Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. 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 Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. Can you explain this answer?.
Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. 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 Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. 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 Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)Correct answer is between '60,65'. Can you explain this answer?.
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