Water Wheel Design You have been asked to design a water wheel that will generate electricity from a river in the northern range. Because the flow rate from the river can fluctuate depending on seasonal rainfall, you have decided to include a holding tank that will maintain a fairly constant water leve Water from this tank will then fall onto the wheel to generate the electricity. Because there will still be fluctuations due to the flow rate of the river, the final device will need to include automatically controlled valving to maintain a constant power output. Because this is a very complex system, you have decided to develop a simplified mathematical model for the system, to help you firstly predict how changes to the in-flow rate of the stream will affect the rotational speed of the water wheel. A simple representation of this system is shown below. e Water wheel Answer all questions below showing revelent calculations and working with explanation where necessary. 1.Create a mathematical model for the system shown. 2.Develop a transfer function for 0(s)/Qi(s), state the constants that you have used in your transfer function. [ Hint: You would also need to derive Q(s)/Qi(s) to predict a theoretical value for the increase in rotational speed ] (Note: Omega, Q=Angular speed]
Water Wheel Design You have been asked to design a water wheel that will generate electricity from a river in the northern range. Because the flow rate from the river can fluctuate depending on seasonal rainfall, you have decided to include a holding tank that will maintain a fairly constant water leve Water from this tank will then fall onto the wheel to generate the electricity. Because there will still be fluctuations due to the flow rate of the river, the final device will need to include automatically controlled valving to maintain a constant power output. Because this is a very complex system, you have decided to develop a simplified mathematical model for the system, to help you firstly predict how changes to the in-flow rate of the stream will affect the rotational speed of the water wheel. A simple representation of this system is shown below. e Water wheel Answer all questions below showing revelent calculations and working with explanation where necessary. 1.Create a mathematical model for the system shown. 2.Develop a transfer function for 0(s)/Qi(s), state the constants that you have used in your transfer function. [ Hint: You would also need to derive Q(s)/Qi(s) to predict a theoretical value for the increase in rotational speed ] (Note: Omega, Q=Angular speed]
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.34P
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![Water Wheel Design
You have been asked to design a water wheel that will generate electricity from a river in the
northern range. Because the flow rate from the river can fluctuate depending on seasonal
rainfall, you have decided to include a holding tank that will maintain a fairly constant water leve
Water from this tank will then fall onto the wheel to generate the electricity. Because there will
still be fluctuations due to the flow rate of the river, the final device will need to include
automatically controlled valving to maintain a constant power output.
Because this is a very complex system, you have decided to develop a simplified mathematical
model for the system, to help you firstly predict how changes to the in-flow rate of the stream
will affect the rotational speed of the water wheel. A simple representation of this system is
shown below.
R.
Water wheel
Answer all questions below showing revelent calculations and working with explanation where
necessary.
1.Create a mathematical model for the system shown.
2.Develop a transfer function for 0(s)/Qi(s), state the constants that you have used in your
transfer function. [ Hint: You would also need to derive Q(s)/Qi(s) to predict a theoretical value
for the increase in rotational speed ] [Note: Omega, Q=Angular speed]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd9c1e47-a9c7-4aa1-8daa-2e684fd9cc8a%2F15473902-5547-4840-b748-1ba31c297dad%2Fcxtsz47_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Water Wheel Design
You have been asked to design a water wheel that will generate electricity from a river in the
northern range. Because the flow rate from the river can fluctuate depending on seasonal
rainfall, you have decided to include a holding tank that will maintain a fairly constant water leve
Water from this tank will then fall onto the wheel to generate the electricity. Because there will
still be fluctuations due to the flow rate of the river, the final device will need to include
automatically controlled valving to maintain a constant power output.
Because this is a very complex system, you have decided to develop a simplified mathematical
model for the system, to help you firstly predict how changes to the in-flow rate of the stream
will affect the rotational speed of the water wheel. A simple representation of this system is
shown below.
R.
Water wheel
Answer all questions below showing revelent calculations and working with explanation where
necessary.
1.Create a mathematical model for the system shown.
2.Develop a transfer function for 0(s)/Qi(s), state the constants that you have used in your
transfer function. [ Hint: You would also need to derive Q(s)/Qi(s) to predict a theoretical value
for the increase in rotational speed ] [Note: Omega, Q=Angular speed]
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