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?
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.
View all questions of this test
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.
Explore Courses for Civil Engineering (CE) exam

Similar Civil Engineering (CE) Doubts

Top Courses for Civil Engineering (CE)

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?.
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

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev