Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A town having a population of 80,000 inhabit...
Start Learning for Free
A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :
- a)45 cm
- b)80 cm
- c)55 cm
- d)40 cm
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A town having a population of 80,000 inhabitants is supplied with wat...
Given data:
Population, N = 80,000 inhabitants
Distance between reservoir and town, L = 2.5 km
Frictional loss, hf = 0.01 km
Coefficient of friction, f = 0.04
Water consumption per inhabitant, Q = 220 L/day
Pumping time, t = 10 hours
To find: Diameter of supply main pipe required
Calculation:
Total water consumption = N * Q = 80,000 * 220 = 17,600,000 L/day
Daily supply of water = Total water consumption/2 = 17,600,000/2 = 8,800,000 L/day
Water supply per hour = Daily supply of water/24 = 8,800,000/24 = 366,667 L/hour
Assuming the velocity of water in the pipe to be 1.5 m/s, we can calculate the discharge as:
Q = A * V
Where,
A = Cross-sectional area of the pipe
V = Velocity of water
Cross-sectional area of the pipe can be calculated as:
A = Q/V = 366,667/(1.5*1000) = 244.44 m²/hour
Using Darcy-Weisbach equation, the head loss due to friction can be calculated as:
hf = (f * L * V²)/(2 * g * D)
Where,
g = Acceleration due to gravity = 9.81 m/s²
D = Diameter of the pipe
Rearranging the above equation, we get:
D = (f * L * V²)/(2 * g * hf)
Substituting the given values, we get:
D = (0.04 * 2.5 * (1.5*1000)²)/(2 * 9.81 * 0.01) = 550.6 mm
Since the available pipe sizes are in multiples of 5 cm, the nearest size available is 55 cm.
Therefore, the diameter of the supply main pipe required is 55 cm.
Population, N = 80,000 inhabitants
Distance between reservoir and town, L = 2.5 km
Frictional loss, hf = 0.01 km
Coefficient of friction, f = 0.04
Water consumption per inhabitant, Q = 220 L/day
Pumping time, t = 10 hours
To find: Diameter of supply main pipe required
Calculation:
Total water consumption = N * Q = 80,000 * 220 = 17,600,000 L/day
Daily supply of water = Total water consumption/2 = 17,600,000/2 = 8,800,000 L/day
Water supply per hour = Daily supply of water/24 = 8,800,000/24 = 366,667 L/hour
Assuming the velocity of water in the pipe to be 1.5 m/s, we can calculate the discharge as:
Q = A * V
Where,
A = Cross-sectional area of the pipe
V = Velocity of water
Cross-sectional area of the pipe can be calculated as:
A = Q/V = 366,667/(1.5*1000) = 244.44 m²/hour
Using Darcy-Weisbach equation, the head loss due to friction can be calculated as:
hf = (f * L * V²)/(2 * g * D)
Where,
g = Acceleration due to gravity = 9.81 m/s²
D = Diameter of the pipe
Rearranging the above equation, we get:
D = (f * L * V²)/(2 * g * hf)
Substituting the given values, we get:
D = (0.04 * 2.5 * (1.5*1000)²)/(2 * 9.81 * 0.01) = 550.6 mm
Since the available pipe sizes are in multiples of 5 cm, the nearest size available is 55 cm.
Therefore, the diameter of the supply main pipe required is 55 cm.
Free Test
FREE
| Start Free Test |
Community Answer
A town having a population of 80,000 inhabitants is supplied with wat...
L = 2.5 km = 2500—----(Length of pipeline)
hf = 0.01 km = 10 m—------(Head loss)
f = 0.04—----------(friction factor)
Each habitant consumes 220 litres of water per day but only half of the daily supply is pumped
i. e.
Actual volume of water pumped = 220 lit x ½ = 110 litres of water = 0.110 m3
The rate of discharge is = 0.24 m3/sec
We know, Frictional head loss in supply main,
As, 54.4 cm diameter pipe is not a standard one, so adopting 55 cm diameter pipe for the supply main.
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
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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 town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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 town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?.
A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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 town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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 town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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 A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :a)45 cmb)80 cmc)55 cmd)40 cmCorrect answer is option 'C'. 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