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A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = πND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.
The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.
Correct answer is '10.0'. Can you explain this answer?
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A propeller (diameter D = 15 m) rotates at N = 1 revolution per second...
Given:
To find:
Rotation speed of lab-scale model
Explanation:
Answer:
Rotation speed of lab-scale model = 10.0 rps
- Diameter of actual propeller (D) = 15 m
- Rotation speed of actual propeller (N) = 1 rps
- Lab-scale model size = 1/100th of actual propeller size
To find:
Rotation speed of lab-scale model
Explanation:
- Velocity of the propeller tip (V) is given by V = ND
- For the actual propeller, velocity of the propeller tip (V) = 1 x 15 = 15 m/s
- For the lab-scale model, diameter of propeller (D) becomes 1/100th of actual propeller size = 0.15 m
- Therefore, velocity of the propeller tip (V) for lab-scale model = 1 x 0.15 = 0.15 m/s
- Acceleration due to gravity (g) is constant and does not change for the lab-scale model
- Now, we know that the velocity of the propeller tip (V) is directly proportional to the rotation speed (N), i.e. V1/N1 = V2/N2, where V1 and N1 are the velocity and rotation speed of the actual propeller and V2 and N2 are the velocity and rotation speed of the lab-scale model
- Substituting the values, we get 15/1 = 0.15/N2
- Solving for N2, we get N2 = 10 rps (rounded off to nearest integer)
Answer:
Rotation speed of lab-scale model = 10.0 rps
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Community Answer
A propeller (diameter D = 15 m) rotates at N = 1 revolution per second...
Froude no is constant
Fr=v/sqrt(gD)
g= acceleration due to gravity
D= diameter
V=3.14*N*D
hence N*sqrt(D) =const
1*sqrt(15) =N*sqrt(15/100)
N=10 ans
Fr=v/sqrt(gD)
g= acceleration due to gravity
D= diameter
V=3.14*N*D
hence N*sqrt(D) =const
1*sqrt(15) =N*sqrt(15/100)
N=10 ans
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A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer?
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A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. 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 propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. 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 propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer?.
A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. 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 propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. 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 propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer?.
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A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer?, a detailed solution for A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer? has been provided alongside types of A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A propeller (diameter D = 15 m) rotates at N = 1 revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (V = ND) , diameter D and acceleration due to gravity (g). The lab-scale model is 1/100th of the size of the actual propeller.The rotation speed of the lab-scale model, to the nearest integer, should be _________ rps.Correct answer is '10.0'. Can you explain this answer? tests, examples and also practice GATE tests.
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