Question

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.

Answer 1

a) energy = 50 J/kg

b) E = 1767145.87 W

Step-by-step explanation:

Given data:

v = 10 m/s

D = 60 m

`\rho_a = 1.25 kg/m^3`

we know that wind energy/ unit mass is given as

`e = ke = (v^2)/(2)`

`e = (10^2)/(2) = 50 J/kg`

Power generation potential is given as

`E = \dot m e = \rhi_a AVe`

plugging all value in equation

`E = 1.25 * (\pi)/(4) * 60^2 * 10 * 50`

E = 1767145.87 W

E = 1767.146 kW