Answer:
electric energy = 980 J
Step-by-step explanation:
Given,
Diameter of wind turbine = 100 m
Speed of wind,v = 7 m/s
Density of air = 1.25 kg/m
Hence, the total mass of air enters into turbine =Speed of wind x Diameter of wind turbine
= 1.25 x 100
= 125 kg
Hence, total mechanical energy of turbine can be given by,
[tex]E\ =\ \dfrac{1}{2}.m.v^2[/tex]
[tex]=\ \dfrac{1}{2}\times 125\times 7^2[/tex]
= 3062.5 J
Efficiency of turbine = 32%
Hence,
total electric energy = 32% of mechanical energy
[tex]=\dfrac{32}{100}\times 3062.5\ J[/tex]
= 980 J
So, the total electric energy produced by the turbine will be 980 J.
