what is the electrical output of a wind turbine with a diameter of 25metres when the wind speed is 10 metres per second?
To calculate the electrical output of a wind turbine, you need to consider several factors, including the turbine's diameter, wind speed, and specific power rating.
The specific power rating of a wind turbine is the amount of power it can generate per unit of rotor swept area, usually measured in watts per square meter (W/m²). The specific power rating varies depending on the type and design of the turbine.
Unfortunately, in your question, you haven't provided the specific power rating of the wind turbine. Without that information, we cannot accurately calculate the electrical output.
To determine the electrical output, you'll need to find the specific power rating of the wind turbine. This information can typically be found in the manufacturer's specifications or by contacting the manufacturer directly.
Once you have the specific power rating, you can calculate the electrical output using the following formula:
Electrical Output (in watts) = Specific Power Rating (in W/m²) × Rotor Swept Area (in square meters)
The rotor swept area can be calculated using the formula:
Rotor Swept Area (in square meters) = π × (Diameter/2)²
Let's assume the specific power rating of the wind turbine is 300 W/m². Then, we can calculate the electrical output.
Step 1: Calculate the rotor swept area:
Rotor Swept Area = π × (25/2)² = 490.87 m²
Step 2: Calculate the electrical output:
Electrical Output = Specific Power Rating × Rotor Swept Area
= 300 W/m² × 490.87 m²
= 147,260 W
≈ 147.26 kW
So, if the wind turbine has a diameter of 25 meters and a specific power rating of 300 W/m², it would have an electrical output of approximately 147.26 kW when the wind speed is 10 meters per second.