1. What is the Power of Wind Equation?

Definition: This equation calculates the theoretical power available in the wind based on air density, swept area, and wind velocity.

Purpose: It helps engineers and renewable energy professionals estimate potential wind energy generation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Power (Watts)
• \( \rho \) — Air density (kg/m³)
• \( A \) — Swept area of turbine blades (m²)
• \( v \) — Wind velocity (m/s)

Explanation: The power increases with the cube of wind velocity, making higher winds exponentially more powerful.

3. Importance of Wind Power Calculation

Details: Accurate wind power estimation is crucial for designing wind turbines, selecting installation sites, and predicting energy output.

4. Using the Calculator

Tips: Enter air density (default 1.225 kg/m³ at sea level), swept area (πr² for circular blades), and wind velocity. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is velocity cubed in the equation?
A: The kinetic energy of wind increases with the cube of velocity, making small increases in wind speed result in large power increases.

Q2: What's a typical air density value?
A: At sea level and 15°C, it's approximately 1.225 kg/m³. Density decreases with altitude and increases with lower temperatures.

Q3: How do I calculate swept area?
A: For circular turbine blades, use \( A = \pi r^2 \) where r is the blade length.

Q4: Is this the actual power a turbine can generate?
A: No, this is theoretical maximum. Real turbines have efficiency limits (Betz limit is ~59.3% maximum).

Q5: What wind speeds are practical for power generation?
A: Most turbines operate between 3-25 m/s (cut-in speed to cut-out speed).