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