Question

Questions. At a certain location, wind is blowing steadily at 10 m/s. a) Determine the mechanical (kinetic) energy of air per unit mass of a wind v turbine with 60-m-diameter blades at that location. b) Determine the mass flow rate of a wind turbine with 60-m-diameter blades at that location. Take the air density to be 1.25 kg/m². c) Calculate the specific volume of air. Take the air density to be 1.25 kg/m3. Wind Wind turbine Wind

Answer 1

(a) Kinetic energy per unit mass of the air can be computed as

$k.e =\frac{V^2}{2}=\frac{10^2}{2}=\mathbf{50\, \mathrm{J/Kg}}$

(b) mass flow rate of the wind turbine can calculated as follows

= PAV =P (EP) v

Substituting the known values

m = 1.25 6 x 602) 10 = 35342.92 kg/s

(c) specific volume of the air can be determined as

1.25 = 0.8 m/kg