__Wind Turbine Energy Calculator:__

__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:__

__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 * r^{2}_{(m)} * v^{2}_{(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:__

__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/m^{3}, Efficiency Factor = 35%, Time = 7sec.

Answer

E = 3.141 / 2 * r^{2 }* v^{2 }* p * n * t

E = 3.141 / 2 * 6^{2} * 50^{2} * 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/m^{3}, Efficiency Factor = 35%, Wind Turbine Energy = 0.00000581424 Joules.

Answer

E = 3.141 / 2 * r^{2 }* v^{2 }* p * n * t

0.00000581424 = 3.141 / 2 * 6^{2} * 50^{2} * 1.225 * 35/100 * t

t = 7 sec.

__The Physics of Wind Power: how does a wind turbine work?__

__The Physics of Wind Power: how does a wind turbine work?__