Countries worldwide are trying to reduce their carbon dioxide emissions. As a result, South Africa is investing in alternate sources of electricity like solar and wind power. The Vestas V112 wind turbine consists of an 84 m high hub with three 56 m long blades attached to its top. When the wind blows, the turning blades can generate up to 3 MW electricity. 1. Determine the minimum height of the turbine when the blades are turning. 2. Determine the maximum height of the turbine when the blades are turning. Explain your answer. 3. Determine the diameter of the circle that is swept by the turning blades. 4. Determine the area of the circle that is swept by the turning blades by using the formula: Area = π x (radius)^2, where π= 3,14. 5. Determine the circumference of the circle that is swept by the turning blade. Blades by using the formula: Circumference = 2x π x radius, where π= 3,14. Round off to the nearest metre.
Countries worldwide are trying to reduce their carbon dioxide emissions. As a result, South Africa is investing in alternate sources of electricity like solar and wind power. The Vestas V112 wind turbine consists of an 84 m high hub with three 56 m long blades attached to its top. When the wind blows, the turning blades can generate up to 3 MW electricity.
1. Determine the minimum height of the turbine when the blades are turning.
2. Determine the maximum height of the turbine when the blades are turning. Explain your answer.
3. Determine the diameter of the circle that is swept by the turning blades.
4. Determine the area of the circle that is swept by the turning blades by using the formula: Area =
π x (radius)^2, where π= 3,14.
5. Determine the circumference of the circle that is swept by the turning blade. Blades by using the
formula: Circumference = 2x π x radius, where π= 3,14. Round off to the nearest metre.
The parameters of V112 wind turbine :
Height(from the ground) of the hub is 84m
Length of the blades are 56m.
Total Number of blades are 3.
From the diagram, the radius of the turbine is equal to the length of the blade i.e 56m.
There are 3 blades, so the angle between each blade is .
To find the minimum length, draw a chord and a line joining the center of the circle to the chord.
The angle is now .
Now,
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