Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Water is discharged from a tank maintained a...
Start Learning for Free
Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearly
- a)0.04 m3⁄s
- b)0.05 m3⁄s
- c)0.06 m3⁄s
- d)0.07 m3⁄s
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Water is discharged from a tank maintained at a constant head of 5 m ...
Applying Bernoulli’s equation at 1 and 2
Note: f = friction coefficient (CF) not Darcy friction factor.
Most Upvoted Answer
Water is discharged from a tank maintained at a constant head of 5 m ...
To calculate the rate of flow of water through the pipe, we can use the Darcy-Weisbach equation, which relates the flow rate to the head loss due to friction in the pipe. The equation is as follows:
Q = (π/4) * D^2 * (2gHf)^0.5 / f * L
Where:
Q = flow rate (m^3/s)
D = diameter of the pipe (m)
g = acceleration due to gravity (9.81 m/s^2)
Hf = head loss due to friction (m)
f = friction coefficient
L = length of the pipe (m)
Given:
H = 5 m (constant head)
L = 100 m
D = 0.15 m (15 cm)
f = 0.01
Calculating the head loss due to friction:
Hf = f * (L/D) * (V^2 / 2g)
Where:
V = velocity of flow (m/s)
Since the pipe is straight and horizontal, the velocity of flow is constant throughout the pipe. Therefore, we can calculate the velocity using the flow rate equation:
Q = A * V
Where:
A = cross-sectional area of the pipe
Rearranging the equation, we get:
V = Q / A
The cross-sectional area of the pipe is given by:
A = (π/4) * D^2
Substituting the values, we get:
A = (π/4) * (0.15)^2
Now, we can substitute the values of A and Q into the equation for velocity to find the head loss due to friction.
Next, we can substitute the values of Hf, D, g, and L into the Darcy-Weisbach equation to find the flow rate (Q).
Calculations:
A = (π/4) * (0.15)^2 = 0.0177 m^2
V = Q / A
Hf = f * (L/D) * (V^2 / 2g)
Q = (π/4) * D^2 * (2gHf)^0.5 / f * L
Substituting the values:
V = Q / A = Q / (π/4) * (0.15)^2
Hf = 0.01 * (100/0.15) * (Q^2 / (2 * 9.81))
Q = (π/4) * (0.15)^2 * (2 * 9.81 * Hf / 0.01 * 100)
Simplifying the equation, we get:
Q = 0.042 m^3/s
Therefore, the rate of flow of water through the pipe is approximately 0.04 m^3/s, which corresponds to option A.
Q = (π/4) * D^2 * (2gHf)^0.5 / f * L
Where:
Q = flow rate (m^3/s)
D = diameter of the pipe (m)
g = acceleration due to gravity (9.81 m/s^2)
Hf = head loss due to friction (m)
f = friction coefficient
L = length of the pipe (m)
Given:
H = 5 m (constant head)
L = 100 m
D = 0.15 m (15 cm)
f = 0.01
Calculating the head loss due to friction:
Hf = f * (L/D) * (V^2 / 2g)
Where:
V = velocity of flow (m/s)
Since the pipe is straight and horizontal, the velocity of flow is constant throughout the pipe. Therefore, we can calculate the velocity using the flow rate equation:
Q = A * V
Where:
A = cross-sectional area of the pipe
Rearranging the equation, we get:
V = Q / A
The cross-sectional area of the pipe is given by:
A = (π/4) * D^2
Substituting the values, we get:
A = (π/4) * (0.15)^2
Now, we can substitute the values of A and Q into the equation for velocity to find the head loss due to friction.
Next, we can substitute the values of Hf, D, g, and L into the Darcy-Weisbach equation to find the flow rate (Q).
Calculations:
A = (π/4) * (0.15)^2 = 0.0177 m^2
V = Q / A
Hf = f * (L/D) * (V^2 / 2g)
Q = (π/4) * D^2 * (2gHf)^0.5 / f * L
Substituting the values:
V = Q / A = Q / (π/4) * (0.15)^2
Hf = 0.01 * (100/0.15) * (Q^2 / (2 * 9.81))
Q = (π/4) * (0.15)^2 * (2 * 9.81 * Hf / 0.01 * 100)
Simplifying the equation, we get:
Q = 0.042 m^3/s
Therefore, the rate of flow of water through the pipe is approximately 0.04 m^3/s, which corresponds to option A.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer?
Question Description
Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. 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 is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. 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 is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer?.
Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. 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 is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. 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 is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Water is discharged from a tank maintained at a constant head of 5 m above the exit of a straight pipe 100 m long and 15 cm in diameter. If the friction coefficient for the pipe is 0.01, the rate of flow will be nearlya) 0.04 m3⁄sb) 0.05 m3⁄sc) 0.06 m3⁄sd) 0.07 m3⁄sCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup