How Is Wind Power Calculated from Wind Speed and Turbine Size?

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Homework Help Overview

The discussion revolves around calculating the mechanical energy of air per unit mass and the power generation potential of a wind turbine based on wind speed and turbine size. The context includes a specific scenario with a wind speed of 10 m/s and a turbine with 60 m diameter blades, along with the density of air provided.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the effects of wind passing through a turbine and question the source of energy that drives the turbine. There are inquiries about the changes in wind characteristics post-turbine interaction, particularly regarding mechanical energy and kinetic energy.

Discussion Status

The discussion is ongoing, with participants probing into the nature of wind energy and its transformation as it interacts with the turbine. Some guidance is offered in the form of questions that encourage deeper thinking about the concepts involved.

Contextual Notes

One participant expresses a lack of understanding of the physics involved, indicating a need for foundational clarification. The discussion also reflects uncertainty about the assumptions related to energy transformation in wind.

TrisL
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Homework Statement


At a certain location, wind is blowing steadily at 10m/s . Determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 60m diameter blades at the location. Density of air is 1.25kgm-3. ( ans : 0.05kJ/kg, 1770kW )

Homework Equations

The Attempt at a Solution


I'm seriously bad at physics and I totally have no idea at all in this question, so there is no attempt at all. Please help me.[/B]
 
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What happens to a wind when it passes through a turbine? Where does the energy come from that drives the turbine?
 
haruspex said:
What happens to a wind when it passes through a turbine? Where does the energy come from that drives the turbine?
Hi haruspex, the question given is just like this. :frown:
 
TrisL said:
Hi haruspex, the question given is just like this. :frown:
I'm asking you to think.
 
haruspex said:
I'm asking you to think.
The wind pass through the turbine just like that isn't it? The energy that drives the turbine, mechanical energy?
 
TrisL said:
The wind pass through the turbine just like that isn't it? The energy that drives the turbine, mechanical energy?
Is the wind exactly the same after it has passed through? Yes, it's mechanical energy, but what form does that take in a wind?
 
haruspex said:
Is the wind exactly the same after it has passed through? Yes, it's mechanical energy, but what form does that take in a wind?
The velocity of the wind changed? Hmmm... kinetic energy is the answer?
 

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