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

In summary, the question asks for the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 60m diameter blades at a location where wind is blowing steadily at 10m/s. The density of air is given as 1.25kgm-3 and the answer is calculated to be 0.05kJ/kg and 1770kW, respectively. The wind passing through the turbine results in a change in velocity, which in turn produces kinetic energy that drives the turbine.
  • #1
TrisL
4
0

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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  • #2
What happens to a wind when it passes through a turbine? Where does the energy come from that drives the turbine?
 
  • #3
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:
 
  • #4
TrisL said:
Hi haruspex, the question given is just like this. :frown:
I'm asking you to think.
 
  • #5
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?
 
  • #6
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?
 
  • #7
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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