At a certain location, wind is blowing steadily at 10 m/s. Determine the (a) mechanical energy of air per unit mass, and (b) the power generation potential of a wind turbine with 60 m diameter blades at that location. Take the air density to be 1.25 kg/m3.

Respuesta :

Answer:

a) energy = 50 J/kg

b) E = 1767145.87 W

Explanation:

Given data:

v =  10 m/s

D = 60 m

[tex]\rho_a = 1.25 kg/m^3[/tex]

we know that wind energy/ unit mass is given as

[tex]e = ke = \frac{v^2}{2} [/tex]

[tex]e = \frac{10^2}{2} = 50 J/kg[/tex]

Power generation  potential is given as

[tex]E = \dot m e = \rhi_a AVe[/tex]

plugging all value in equation

[tex]E = 1.25 \times \frac{\pi}{4} \times 60^2 \times 10 \times 50[/tex]

E = 1767145.87 W

E = 1767.146 kW