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A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. The spacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________
Correct answer is between '4.25,4.35'. Can you explain this answer?
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A solid set permanent micro-irrigation system is installed in a vegeta...
Given data:
- Area of the vegetable field = 1 ha = 10,000 m²
- Spacing between micro sprinklers = 2.5 m
- Spacing between laterals = 5 m
- Peak evapotranspiration rate = 10 mm/day
- Application efficiency = 80%
- Operating time of the irrigation system = 5 hours
- Total operating head of the pump = 30 m
- Pump efficiency = 65%
Calculating the flow rate:
To calculate the flow rate, we need to determine the number of micro sprinklers and laterals in the field.
- Number of micro sprinklers in one row = Length of the field / Spacing between micro sprinklers
= (100 m) / (2.5 m)
= 40 micro sprinklers
- Number of rows in the field = Width of the field / Spacing between laterals
= (100 m) / (5 m)
= 20 rows
- Total number of micro sprinklers = Number of micro sprinklers in one row * Number of rows
= 40 * 20
= 800 micro sprinklers
- Total flow rate = Peak evapotranspiration rate * Area of the field / Application efficiency
= (10 mm/day) * (10,000 m²) / 0.80
= 125,000 L/day
- Flow rate per micro sprinkler = Total flow rate / Total number of micro sprinklers
= (125,000 L/day) / 800
= 156.25 L/day
Calculating the power of the pump:
To calculate the power of the pump, we need to determine the total dynamic head.
- Total dynamic head = Total operating head + Friction loss in the pipe
= 30 m + Friction loss
- Friction loss can be calculated using the Hazen-Williams equation:
Friction loss = (10.67 * Length of the pipe * Flow rate^1.85) / (C^1.85 * Diameter^4.87)
- Assuming the pipe length is the sum of the length of the laterals, and the diameter of the pipe is the diameter of the laterals:
Length of the pipe = (Number of rows * Width of the field) + (Number of rows * Length of the field)
= (20 * 100 m) + (20 * 100 m)
= 4,000 m
- Diameter of the pipe = Diameter of the laterals = 2.5 cm = 0.025 m
- Using the Hazen-Williams equation and assuming a C value of 120:
Friction loss = (10.67 * 4,000 * (156.25/1000)^1.85) / (120^1.85 * 0.025^4.87)
= 0.345 m
- Total dynamic head = 30 m + 0.345 m
= 30.345 m
- Power of the pump = (Flow rate * Total dynamic head) / (Pump efficiency * 102)
= (156.25/1000 * 30.345) / (0.65 * 102)
= 0.07 kW
- Area of the vegetable field = 1 ha = 10,000 m²
- Spacing between micro sprinklers = 2.5 m
- Spacing between laterals = 5 m
- Peak evapotranspiration rate = 10 mm/day
- Application efficiency = 80%
- Operating time of the irrigation system = 5 hours
- Total operating head of the pump = 30 m
- Pump efficiency = 65%
Calculating the flow rate:
To calculate the flow rate, we need to determine the number of micro sprinklers and laterals in the field.
- Number of micro sprinklers in one row = Length of the field / Spacing between micro sprinklers
= (100 m) / (2.5 m)
= 40 micro sprinklers
- Number of rows in the field = Width of the field / Spacing between laterals
= (100 m) / (5 m)
= 20 rows
- Total number of micro sprinklers = Number of micro sprinklers in one row * Number of rows
= 40 * 20
= 800 micro sprinklers
- Total flow rate = Peak evapotranspiration rate * Area of the field / Application efficiency
= (10 mm/day) * (10,000 m²) / 0.80
= 125,000 L/day
- Flow rate per micro sprinkler = Total flow rate / Total number of micro sprinklers
= (125,000 L/day) / 800
= 156.25 L/day
Calculating the power of the pump:
To calculate the power of the pump, we need to determine the total dynamic head.
- Total dynamic head = Total operating head + Friction loss in the pipe
= 30 m + Friction loss
- Friction loss can be calculated using the Hazen-Williams equation:
Friction loss = (10.67 * Length of the pipe * Flow rate^1.85) / (C^1.85 * Diameter^4.87)
- Assuming the pipe length is the sum of the length of the laterals, and the diameter of the pipe is the diameter of the laterals:
Length of the pipe = (Number of rows * Width of the field) + (Number of rows * Length of the field)
= (20 * 100 m) + (20 * 100 m)
= 4,000 m
- Diameter of the pipe = Diameter of the laterals = 2.5 cm = 0.025 m
- Using the Hazen-Williams equation and assuming a C value of 120:
Friction loss = (10.67 * 4,000 * (156.25/1000)^1.85) / (120^1.85 * 0.025^4.87)
= 0.345 m
- Total dynamic head = 30 m + 0.345 m
= 30.345 m
- Power of the pump = (Flow rate * Total dynamic head) / (Pump efficiency * 102)
= (156.25/1000 * 30.345) / (0.65 * 102)
= 0.07 kW
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A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer?
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A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer?.
A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid set permanent micro-irrigation system is installed in a vegetable field of 1 ha area. Thespacing between the micro sprinklers is 2.5 m and spacing between laterals is 5 m. The peak evapotranspiration rate is 10 mm day-1. The application efficiency is 80%. Irrigation system operates 5 hours in a day. The total operating head of the pump is 30 m. At 65% pump efficiency, the horse power of the pump is ________Correct answer is between '4.25,4.35'. Can you explain this answer?.
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