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A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:
- a)4 kW, 50 m of water
- b)6 kW, 20 m of water
- c)3 kW, 30 m of water
- d)8 kW, 40 m of water
Correct answer is option 'D'. Can you explain this answer?
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A pump running at 1000 RPM consumes 1 kW and generates head of 10m of ...
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A pump running at 1000 RPM consumes 1 kW and generates head of 10m of ...
**Given Data:**
- Pump running at 1000 RPM consumes 1 kW and generates a head of 10m of water.
**Objective:**
- To determine the power consumption and head generated when the pump is operated at 2000 RPM.
**Solution:**
To analyze the change in power consumption and head generated when the pump speed is doubled, we can use the affinity laws for centrifugal pumps. These laws are based on the assumption that the pump's impeller diameter remains constant.
The affinity laws state that:
1. Flow rate is directly proportional to the pump speed.
2. Head is directly proportional to the square of the pump speed.
3. Power consumption is directly proportional to the cube of the pump speed.
Let's apply these laws to solve the problem:
1. Flow Rate:
Since the flow rate is not given in the given data, we cannot determine the change in flow rate when the pump speed is doubled.
2. Head:
The head generated by the pump is directly proportional to the square of the pump speed. Therefore, when the pump speed is doubled (from 1000 RPM to 2000 RPM), the head generated will increase by a factor of 4.
Given that the head generated at 1000 RPM is 10m, the head generated at 2000 RPM will be 4 times that, which is 40m.
3. Power Consumption:
The power consumption is directly proportional to the cube of the pump speed. Therefore, when the pump speed is doubled (from 1000 RPM to 2000 RPM), the power consumption will increase by a factor of 8.
Given that the power consumption at 1000 RPM is 1 kW, the power consumption at 2000 RPM will be 8 times that, which is 8 kW.
Therefore, the correct answer is option 'D': 8 kW, 40 m of water.
- Pump running at 1000 RPM consumes 1 kW and generates a head of 10m of water.
**Objective:**
- To determine the power consumption and head generated when the pump is operated at 2000 RPM.
**Solution:**
To analyze the change in power consumption and head generated when the pump speed is doubled, we can use the affinity laws for centrifugal pumps. These laws are based on the assumption that the pump's impeller diameter remains constant.
The affinity laws state that:
1. Flow rate is directly proportional to the pump speed.
2. Head is directly proportional to the square of the pump speed.
3. Power consumption is directly proportional to the cube of the pump speed.
Let's apply these laws to solve the problem:
1. Flow Rate:
Since the flow rate is not given in the given data, we cannot determine the change in flow rate when the pump speed is doubled.
2. Head:
The head generated by the pump is directly proportional to the square of the pump speed. Therefore, when the pump speed is doubled (from 1000 RPM to 2000 RPM), the head generated will increase by a factor of 4.
Given that the head generated at 1000 RPM is 10m, the head generated at 2000 RPM will be 4 times that, which is 40m.
3. Power Consumption:
The power consumption is directly proportional to the cube of the pump speed. Therefore, when the pump speed is doubled (from 1000 RPM to 2000 RPM), the power consumption will increase by a factor of 8.
Given that the power consumption at 1000 RPM is 1 kW, the power consumption at 2000 RPM will be 8 times that, which is 8 kW.
Therefore, the correct answer is option 'D': 8 kW, 40 m of water.
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A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer?
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A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer?.
A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pump running at 1000 RPM consumes 1 kW and generates head of 10m of water. When it is operated at 2000 RPM, its power consumptionand head generated would be:a)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer?.
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