GATE Exam > GATE Questions > A large hydraulic turbine is to generate 300...
Start Learning for Free
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will be
- a)2.34
- b)4.68
- c)9.38
- d)18.75
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a h...
For similar turbines specific power will be same
View all questions of this test
Now specific speed will be same
Most Upvoted Answer
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a h...
To find the power generated by the model turbine, we can use the concept of similarity between the model and the actual turbine.
1. **Similarity of geometry:**
- The scale model is 1:4, which means that all dimensions of the model are 1/4th of the actual turbine.
- Since the head is directly related to the height of the water column, the head of the model turbine will also be 1/4th of the actual turbine.
2. **Similarity of speed:**
- The scale factor of 1:4 applies to the speed as well.
- So, the model turbine will have a speed of 1000/4 = 250 rpm.
3. **Similarity of power:**
- Power is directly proportional to the cube of speed (P ∝ N^3).
- Since the scale factor for speed is 1:4, the power generated by the model turbine will be (1/4)^3 = 1/64th of the actual turbine.
Now, let's calculate the power generated by the model turbine:
- Power of the actual turbine = 300 kW
- Power of the model turbine = (1/64) * 300 kW
= 4.6875 kW
≈ 4.68 kW
Therefore, the power generated by the model turbine is approximately 4.68 kW, which is closest to option 'A' (2.34 kW).
1. **Similarity of geometry:**
- The scale model is 1:4, which means that all dimensions of the model are 1/4th of the actual turbine.
- Since the head is directly related to the height of the water column, the head of the model turbine will also be 1/4th of the actual turbine.
2. **Similarity of speed:**
- The scale factor of 1:4 applies to the speed as well.
- So, the model turbine will have a speed of 1000/4 = 250 rpm.
3. **Similarity of power:**
- Power is directly proportional to the cube of speed (P ∝ N^3).
- Since the scale factor for speed is 1:4, the power generated by the model turbine will be (1/4)^3 = 1/64th of the actual turbine.
Now, let's calculate the power generated by the model turbine:
- Power of the actual turbine = 300 kW
- Power of the model turbine = (1/64) * 300 kW
= 4.6875 kW
≈ 4.68 kW
Therefore, the power generated by the model turbine is approximately 4.68 kW, which is closest to option 'A' (2.34 kW).
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer?
Question Description
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. 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 large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. 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 large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer?.
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. 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 large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. 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 large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer?.
Solutions for A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will bea)2.34b)4.68c)9.38d)18.75Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
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