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A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level to
another reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs are
open to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of
75%.
Data:
Fanning friction factor for pipe flow is f = 0.004. Neglect other head losses
Take gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.
The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.
another reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs are
open to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of
75%.
Data:
Fanning friction factor for pipe flow is f = 0.004. Neglect other head losses
Take gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.
The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.
Imp : you should answer only the numeric value
Correct answer is '36'. Can you explain this answer?
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A centrifugal pump delivers water at the rate of 0.22 m3/s from a rese...
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Given Data:
- Rate of water delivery, Q = 0.22 m3/s
- Diameter of the pipe, D = 0.2 m
- Power input to the pump, P = 90 kW
- Efficiency of the pump, η = 75%
- Fanning friction factor, f = 0.004
- Gravitational acceleration, g = 9.8 m/s2
- Density of water, ρ = 1000 kg/m3
Calculating the Water Head:
The water head is the total energy head required to deliver the water from one reservoir to the other. It can be calculated using the following formula:
Water Head = Pressure Head + Velocity Head + Elevation Head
Since both reservoirs are open to the atmosphere, the pressure head can be neglected. Therefore, the water head is given by:
Water Head = Velocity Head + Elevation Head
The velocity head is given by:
Velocity Head = (v2)/(2g)
where v is the velocity of water in the pipe.
The velocity of water can be calculated using the formula:
Velocity = Q / (π * (D/2)2)
Substituting the given values, we can calculate the velocity of water.
The elevation head is given by:
Elevation Head = H
where H is the height to which the water is delivered.
Calculating the Power Output:
The power output of the pump can be calculated using the formula:
Power Output = Q * Water Head * ρ * g
Since the efficiency of the pump is given by:
Efficiency = Power Output / Power Input
we can rearrange the formula to calculate the power output:
Power Output = Efficiency * Power Input
Substituting the given values, we can calculate the power output.
Calculating the Water Head:
Substituting the calculated power output and the given values into the power output formula, we can solve for the water head:
Power Output = Q * Water Head * ρ * g
Solving for Water Head, we get:
Water Head = Power Output / (Q * ρ * g)
Substituting the calculated values, we can solve for the water head.
Calculating the Height H:
Since the water head is equal to the velocity head plus the elevation head, we can rearrange the formula to solve for H:
H = Water Head - Velocity Head
Substituting the calculated values, we can solve for H.
Final Result:
After substituting the values and performing the calculations, we find that the height H, to which the water can be delivered, is approximately 36 meters.
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A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer?
Question Description
A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer?.
A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer?.
Solutions for A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice A centrifugal pump delivers water at the rate of 0.22 m3/s from a reservoir at ground level toanother reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs areopen to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of75%.Data:Fanning friction factor for pipe flow is f = 0.004. Neglect other head lossesTake gravitational acceleration, g = 9.8 m/s2 and density of water is 1000kg/m3.The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Imp : you should answer only the numeric valueCorrect answer is '36'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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