Wind Turbines and Conic Sections

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Discussion Overview

The discussion revolves around the relationship between wind turbines and conic sections, particularly in the context of a precalculus project involving the design of wind turbine blades. Participants explore the mathematical concepts involved and seek to establish connections between the two topics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant inquires about the possibility of relating wind turbines to conic sections for a precalculus project.
  • Another participant expresses skepticism about the connection, suggesting that aerofoils would be more relevant than conic sections.
  • A third participant mentions a project that includes both wind turbine blade design and conic sections but notes that it does not clarify the relationship between the two.
  • One participant emphasizes the complexity of actual turbine blade design and doubts the feasibility of relating it to conic sections at the precalculus level, asking for more details on the project in question.
  • Another participant proposes that a specific type of wind turbine, the Savonius turbine, might have a connection to conic sections.

Areas of Agreement / Disagreement

Participants generally do not agree on the connection between wind turbines and conic sections, with some expressing skepticism and others suggesting potential links, particularly with specific turbine designs.

Contextual Notes

The discussion highlights the complexity of wind turbine design and the challenges of relating it to conic sections, particularly at a precalculus level. There is a lack of clarity on how these topics can be integrated in a meaningful way for educational purposes.

Erika Brown
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I am working on a project for my precalculus class. They are going to study wind turbines and design a wind turbine blade. I am trying to understand the math behind wind turbines myself. Can I relate wind turbines to a study of conic sections?
 
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Erika Brown said:
Can I relate wind turbines to a study of conic sections?
Doesn't look likely to me. Why do you think that might be possible? Aerofoils would be nearer the mark.
 
haruspex said:
Doesn't look likely to me. Why do you think that might be possible? Aerofoils would be nearer the mark.
I found a project already developed on a Project Based Learning website. One part of the project is designing a wind turbine blade and the other is studying conic sections. However, it fails to show the connection between the two parts. I liked the project but I need to be able to relate the two for the students.
 
Actual turbine blades are extraordinarily complex and require considerable computational resources to design. I can't honestly see a way to relate any of it to conic sections, particularly at the precalculus level. Do you have any other details on this other project that might give us more detail on your line of thought here?
 

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