oakland university installs a Vestas V100 wind turbine that has a hub height of

Question

oakland university installs a Vestas V100 wind turbine that has a hub height of 100m and a rotor diameter of 100 meters. its in a modest wind of 5 m/s of velocity. The efficiency of the turbine in extractivng the available energy out of the swept blade diameter is 45 percent of the maximum theorietical power avalaible in this wind. What is the actual power output produced by the wind machine in this low wind ?

If the wind speed triples to 15 m/s, how many times more power does this turbine produce

Explanation / Answer

Power = n*0.5*mv^2 /t

= 0.45*(0.5*1.225*pi*50^2*5) *5^2

= 270594 W

Speed becomes 3 times, So power becomes 27 times

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