Wind Power Generation Comparison

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SUMMARY

This discussion focuses on comparing two potential sites for wind power generation based on wind speed and operational hours. Site one has a wind speed of 7 m/s for 3000 hours annually, while site two has a wind speed of 10 m/s for 2000 hours. The energy per unit mass is calculated using the equation e=KE=(V^2)/2, resulting in 24.5 J/kg for site one and 50 J/kg for site two. The conclusion drawn is that site two is more efficient due to its higher energy output, despite operating fewer hours.

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OUmecheng
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Homework Statement



Two sites are being considered for wind power generation. In the first site, the wind blows steadily at 7 m/s for 3000 hours per year, whereas the second site the wind blows at 10m/s for 2000 hours per year. Assuming wind velocity is negligible at other times for simplicity, determine which is a better site for wind power generation. Hint: note that the mass flow rate of air is proportional to wind velocity.

Homework Equations



e=KE=(V^2)/2
E = me

The Attempt at a Solution



Ok so I found e1 and e2 with the first equation.

Which gives me 24.5 and 50 J/Kg (respectively)

But I'm stuck now. How can I find m? It says that that the mass flow rate of air is proportional to wind velocity but how can I tie in time? Any hints would help.

I can tell that the second site would be more efficient, but I can't explain why.
 
Last edited:
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OUmecheng said:
But I'm stuck now. How can I find m? It says that that the mass flow rate of air is proportional to wind velocity but how can I tie in time? Any hints would help.
They are probably wanting the site with the highest annual mass flow, where
mass flow = mass flow rate x time
 

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