Sapling Learning macmillan learning A challenge gaining prominence throughout th

Question

Sapling Learning macmillan learning A challenge gaining prominence throughout the planet is the increased need for "green" or sustainable energy. In certain parts of the country, wind farms are a viable alternative to conventional energy sources. An average wind turbine (the device which converts rotational motion to electricity) has a maximum capacity of 1.40 MW. However, realistically the wind turbine never runs at full power. If a wind turbine runs at 35.0% capacity for 1.00 year, how much energy does the wind turbine generate? Number E= kWh An average American household consumes 1.10x104 kWh in 1.00 year. How many houses can the one wind turbine power? 0 4.72 x 1010 Number of houses= O 0.00256 0 3.90% 102

Explanation / Answer

Given

the wind turbine maximum capacity is 1.4 MW means it can produce 1.4 million joules in one sec

  

the 35 % 0f 1.4 MW is 0.49*10^6 J

if it runs about one year then it can produce totally the energy

0.49*10^6*86400*365 J = 1.545264*10^13 J

we knwo that the conversion of J to kWh is  

so 1.545264*10^13 J = 4292900 kWh <<<<<--------------- answer

now each house consumes 1.10*10^4 kWh in one year then

the no of houses can run by the turbine is  

4292900 kWh /1.10*10^4 kWh = 390 = 3.90*10^2 houses <<<------- Answer

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