Wind Turbine Energy Calculator, Formula, Wind Turbine Energy Calculation

Wind Turbine Energy Calculator:

Enter the values of Radius of the Turbine r_(m), Velocity of Wind v_(m/s) , Density of the Air p_{(1.225 kg/m}³₎, Efficiency Factor n_(%) & Time of Wind Power Generation t_(sec) to determine the value of Wind Turbine Energy E_(J).

Wind Turbine Energy Formula:

The Wind Turbine Energy E_(J) in Joules is Equal to the 3.141 is Divided by the 2 into Multiply to the Radius of the Turbine r_(m) in meter and is squared and Multiply the Velocity of Wind v_(m/s) in meter per second and is squared and Multiply the Density of the Air p_{(1.225 kg/m}³₎ in 1.225 kilogram per meter cube and Multiply to the Efficiency Factor n_(%) in percentage and again Multiply the Time of Wind Power Generation t_(sec) in second.

The Equation of Wind Turbine Energy can be written as,

E_(J) = 3.141 / 2 * r²_(m) * v²_(m/s) * p_{(1.225 kg/m}³₎ * n_(%) * t_(sec)

Here,

E_(J) = Wind Turbine Energy in Joules

r_(m) = Radius of the Turbine in meter

v_(m/s) = Velocity of Wind in meter per second

p_{(1.225 kg/m}³₎ = Density of the Air in 1.225 kilogram per meter cube

n_(%) = Efficiency Factor in percentage

t_(sec) = Time of Wind Power Generation in second

Wind Turbine Energy Calculation:

1) Calculate the Wind Turbine Energy and given for the Radius of the Turbine = 6m, Velocity of Wind = 50m/s, Density of the Air = 1.225kg/m³, Efficiency Factor = 35%, Time = 7sec.

Answer

E = 3.141 / 2 * r² * v² * p * n * t

E = 3.141 / 2 * 6² * 50² * 1.225 * 35/100 * 7

E = 0.00000581424 Joules.

2) Calculate the Time and given for the Radius of the Turbine = 6m, Velocity of Wind = 50m/s, Density of the Air = 1.225kg/m³, Efficiency Factor = 35%, Wind Turbine Energy = 0.00000581424 Joules.

Answer

E = 3.141 / 2 * r² * v² * p * n * t

0.00000581424 = 3.141 / 2 * 6² * 50² * 1.225 * 35/100 * t

t = 7 sec.

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