Wind Power Generation Comparison

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Two sites for wind power generation are being compared based on wind speed and duration. The first site has a steady wind speed of 7 m/s for 3000 hours, while the second site has a wind speed of 10 m/s for 2000 hours. The energy per kilogram of air is calculated to be 24.5 J/kg for the first site and 50 J/kg for the second site. To determine the better site, the total mass flow must be considered, which is the product of mass flow rate and time. The second site is expected to be more efficient due to its higher wind speed, but clarity on calculating mass flow is needed.
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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