The Physics of Wind Turbines
There is physics involved in these wind turbines as they change wind into mechanical energy and then into electricity. The energy produced depends on the volume of the air, the density, and the wind speed. The mass per unit time is the mass times the density times the wind speed or m = mass, p = density, A = area, and v = wind speed; m = pAV. Because the function of the wind turbine is to transform the wind’s kinetic energy into electricity the equation for kinetic energy is needed; KE = ½ mv2 or kinetic energy equals one half the mass times the velocity squared. Then, using substitution, the power in the wind depends on the density of the air, area swept out by rotors, and the cube of the velocity or ½ pAV3. Using Betz’ law the theoretical energy model for extracting 59% of the energy is power = 16/27(½ pAV3) .
The power passing through or created by the wind power is ½ pAv3. All the power cannot be captured though, because that would mean the wind had to be still, absolutely no wind, which is impossible when the wind starts the whole process. Thus, one needs to find the maximum theoretical power output. To find the power, take the kinetic energy in through the wind turbine minus the kinetic energy out. Then using three different areas one can find the constant rate of ...
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...issued on 2009 Aug 11, cited 2010 Oct 3]. [about 5 paragraphs]. Available from: http://green.blogs.nytimes.com/2009/08/11/raising-wind-output-with-longer-blades/
American Wind Energy Association [Internet]. AWEA c 2009. U.S. Wind Energy Projects-Kansas [updated 2006 June 1, cited 2010 Oct 2]. [about 3 lines]. Available from: http://www.awea.org/projects/Projects.aspx?s=Kansas
Unrhuh C, Leiker D. [Internet]. cJ.S. S.W. Aber. Kansas wind power. [last update 2009 Nov, cited 2010 Oct 3]. [about 1 paragraph]. Available from: http://www.geospectra.net/kite/ks_wind/ks_wind.htm
McDermott M. [Internt]. TreeHugger.com:c 2010. Largest wind farm in Kansas. originally from Science and Technology [posted 2008 Oct 3, cited 2010 Oct 3]. [about 1 paragraph]. Available from: http://www.treehugger.com/files/2008/10/largest-wind-farm-kansas-built-by-italian-developer.php
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