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A three bladed wind turbine has the following geometric and aerodynamic characteristics.

Number of blades, B=3
Tip speed ratio, λ=7
Blade radius, R=4.953 m

1 Answer

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Final answer:

The wind speed can be inferred using the tip speed ratio and the blade radius. Therefore, the inferred wind speed is approximately 17.3425 m/s.

Step-by-step explanation:

The subject of this question is Physics and it is suitable for High School level.

Given the information about the wind turbine, we can calculate the wind speed using the tip speed ratio (λ) and the blade radius (R).

The tip speed ratio is the ratio of the speed of the blade tip to the wind speed.

In this case, λ is given as 7 and R is given as 4.953 m.

To calculate the wind speed (v), we can use the formula: v = λ * (R / t), where t is the time taken for one revolution. In this case, t is given as 2 seconds.

Substituting the values, we have: v = 7 * (4.953 / 2) = 17.3425 m/s.

Therefore, the inferred wind speed is approximately 17.3425 m/s.

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