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

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SUMMARY

The mechanical energy of air per unit mass at a wind speed of 10 m/s is calculated to be 0.05 kJ/kg, while the power generation potential of a wind turbine with 60m diameter blades at this location is 1770 kW. The energy that drives the turbine is derived from the kinetic energy of the wind, which changes as it passes through the turbine. Understanding the conversion of wind's kinetic energy into mechanical energy is crucial for optimizing wind turbine efficiency.

PREREQUISITES
  • Understanding of kinetic energy principles
  • Familiarity with wind turbine mechanics
  • Knowledge of air density calculations
  • Basic physics concepts related to energy conversion
NEXT STEPS
  • Research "Wind Energy Conversion Systems" for in-depth knowledge
  • Explore "Betz's Law" to understand maximum efficiency limits of wind turbines
  • Learn about "Aerodynamics of Wind Turbines" to optimize blade design
  • Investigate "Power Coefficient" calculations for wind turbine performance
USEFUL FOR

Engineers, renewable energy researchers, and students studying wind energy systems will benefit from this discussion, particularly those focused on optimizing wind turbine performance and understanding energy conversion principles.

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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