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/m3), 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/m3) 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/m3) * 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/m3) = 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.