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Wind Power Turbine Calculator

Formula

To calculate the Wind Power:

$P = \frac{\pi}{2} \times r^2 \times v^3 \times \rho \times n$

Where:

$P$ is the Power in Watts
$r$ is the Radius of the Turbine (meters)
$v$ is the Velocity of the Wind (m/s)
$\rho$ is the Air Density (1.2 kg/m³)
$n$ is the Efficiency Factor (typically 40%)

What is Wind Power?

Wind power is defined as the total amount of energy per unit of time that a wind turbine can generate through the kinetic energy of moving air. It is a measure of the turbine's ability to convert wind energy into electrical energy.

Example Calculation 1

Let's assume the following values:

Radius of the Turbine ( $r$ ) = 10 meters
Wind Velocity ( $v$ ) = 12 m/s
Efficiency Factor ( $n$ ) = 0.4

Using the formula:

$P = \frac{\pi}{2} \times 10^2 \times 12^3 \times 1.2 \times 0.4 = 130,899.69 \text{ Watts}$

The Wind Power is 130,899.69 Watts.

Example Calculation 2

Let's assume the following values:

Radius of the Turbine ( $r$ ) = 5 meters
Wind Velocity ( $v$ ) = 8 m/s
Efficiency Factor ( $n$ ) = 0.4

Using the formula:

$P = \frac{\pi}{2} \times 5^2 \times 8^3 \times 1.2 \times 0.4 = 19,739.21 \text{ Watts}$

The Wind Power is 19,739.21 Watts.