Question

a wind turbine has a 100m2 swept area. what the length of its blade

Answer 1

The length of its blade is 5.641m..

Answer 2

To determine the length of the wind turbine blade given the swept area, we can use the formula for the area of a circle, since the swept area is the circular area covered by the rotating blades:

$$\text{Swept Area}=\pi r^2$$

Where:

• $r$ is the radius of the circle (which is equal to the length of the blade).

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Given:

• Swept Area = 100 m²

Rearranging the formula to solve for $r$:

$$r=\sqrt{\frac{\text{Swept Area}}{\pi }}=\sqrt{\frac{100}{\pi }}\approx \sqrt{31.83}\approx 5.64\text{ meters}$$

Answer: The length of the blade is approximately 5.64 meters