Respuesta :
Answer:
electric power generation = 240.52 kW
Explanation:
given data
wind is blowing steadily = 10 m/s
diameter = 70 m
overall efficiency = 30 percent
air density = 1.25 kg/m³
solution
we know Kinetic energy is the form of mechanical energy
so wind can be convert to work entirely
and power potential of the wind is kinetic energy
mass flow rate = [tex]\frac{mv^2}{2}[/tex] .................1
e (mechanical ) = [tex]\frac{v^2}{2}[/tex]
put here value
e (mechanical) = [tex]\frac{10^2}{2}[/tex]
e (mechanical) = 50 J/kg
and
We know the mass relation
mass m = = ρ V A ..............2
here A is area = [tex]\frac{\pi D^2}{4}[/tex]
so mass equation will be
mass m = ρ V [tex]\frac{\pi D^2}{4}[/tex]
put here value we get
mass m = (1.25 kg/ m³) × ( 10 m/s) × \frac{\pi 70^2}{4}
mass m = 48105.63 kg/s
so
electric power generation = m × e (mechanical) .........3
electric power generation = 48105.63 × 0.0050 KJ/kg
electric power generation = 240.52 kW
