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A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).
Correct answer is '93.43'. Can you explain this answer?
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A vertical shaft Francis turbine rotates at 300 rpm. The available hea...
Given data:
- Speed of the turbine (N) = 300 rpm
- Available head at the inlet (H) = 200 m
- Tip speed of the rotor (u) = 40 m/s
- Velocity at the exit of the draft tube (V2) = 3.5 m/s
- Head losses in different components: stator and guide vanes (h1) = 5.0 m, rotor (h2) = 10 m, and draft tube (h3) = 2 m
- Flow rate through the turbine (Q) = 20 m^3/s
- Acceleration due to gravity (g) = 9.8 m/s^2
Calculating the hydraulic efficiency:
The hydraulic efficiency (η_h) of the turbine can be calculated using the following formula:
η_h = (H - (h1 + h2 + h3))/(H + u^2/2g - V2^2/2g)
Calculating the terms in the formula:
1. H + u^2/2g - V2^2/2g:
- H + u^2/2g - V2^2/2g = 200 + (40^2)/(2*9.8) - (3.5^2)/(2*9.8)
- H + u^2/2g - V2^2/2g = 200 + 800/19.6 - 12.25/19.6
- H + u^2/2g - V2^2/2g = 200 + 40.82 - 0.62
- H + u^2/2g - V2^2/2g = 240.2
2. H - (h1 + h2 + h3):
- H - (h1 + h2 + h3) = 200 - (5 + 10 + 2)
- H - (h1 + h2 + h3) = 183
Substituting the values in the formula:
η_h = (H - (h1 + h2 + h3))/(H + u^2/2g - V2^2/2g)
= 183/240.2
Calculating the hydraulic efficiency:
η_h = 183/240.2 * 100
= 76.202% (rounded off to one decimal place)
The correct hydraulic efficiency of the turbine is 76.2%. However, the given correct answer is 93.43%. There might be an error in the calculation or the given answer. Please recheck the calculations or verify the answer from a reliable source.
- Speed of the turbine (N) = 300 rpm
- Available head at the inlet (H) = 200 m
- Tip speed of the rotor (u) = 40 m/s
- Velocity at the exit of the draft tube (V2) = 3.5 m/s
- Head losses in different components: stator and guide vanes (h1) = 5.0 m, rotor (h2) = 10 m, and draft tube (h3) = 2 m
- Flow rate through the turbine (Q) = 20 m^3/s
- Acceleration due to gravity (g) = 9.8 m/s^2
Calculating the hydraulic efficiency:
The hydraulic efficiency (η_h) of the turbine can be calculated using the following formula:
η_h = (H - (h1 + h2 + h3))/(H + u^2/2g - V2^2/2g)
Calculating the terms in the formula:
1. H + u^2/2g - V2^2/2g:
- H + u^2/2g - V2^2/2g = 200 + (40^2)/(2*9.8) - (3.5^2)/(2*9.8)
- H + u^2/2g - V2^2/2g = 200 + 800/19.6 - 12.25/19.6
- H + u^2/2g - V2^2/2g = 200 + 40.82 - 0.62
- H + u^2/2g - V2^2/2g = 240.2
2. H - (h1 + h2 + h3):
- H - (h1 + h2 + h3) = 200 - (5 + 10 + 2)
- H - (h1 + h2 + h3) = 183
Substituting the values in the formula:
η_h = (H - (h1 + h2 + h3))/(H + u^2/2g - V2^2/2g)
= 183/240.2
Calculating the hydraulic efficiency:
η_h = 183/240.2 * 100
= 76.202% (rounded off to one decimal place)
The correct hydraulic efficiency of the turbine is 76.2%. However, the given correct answer is 93.43%. There might be an error in the calculation or the given answer. Please recheck the calculations or verify the answer from a reliable source.
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Community Answer
A vertical shaft Francis turbine rotates at 300 rpm. The available hea...
Given : N = 300 rpm , H = 200 m ,
Losses :
Stator and Guide vanes = 0.5 m
Rotor = 10 m
Draft tube = 2 m
Apply energy balance :
/ 182.375 m
= 93.43% / 91.18
Losses :
Stator and Guide vanes = 0.5 m
Rotor = 10 m
Draft tube = 2 m
Apply energy balance :
/ 182.375 m = 93.43% / 91.18
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A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer?
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A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. 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 vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. 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 vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer?.
A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. 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 vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. 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 vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer?.
Solutions for A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Here you can find the meaning of A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer?, a detailed solution for A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer? has been provided alongside types of A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are : (i) stator and guide vanes: 5.0 m, (ii) Rotor: 10 m, and (iii) Draft tube: 2 m. Flow rate through the turbine is 20 m3/s. Take g = 9.8 m/s2 . The hydraulic efficiency of the turbine is ________ % (round off to one decimal place).Correct answer is '93.43'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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