Refer to the figure shown in the question - NSC Mathematical Literacy - Question 3 - 2024 - Paper 2

Several factors influence the energy production of rotor blades:

• Blade Design: Improving the aerodynamics of rotor blades can help them capture more wind effectively.

• Diameter of Rotor: Increasing rotor diameter allows the turbine to sweep more area, capturing more wind and producing more electricity.

• Wind Speed: Higher wind speeds lead to greater kinetic energy being converted to electrical energy.

• Technology Advancements: New materials and technologies can enhance structural stability, enabling larger and more efficient turbine designs.

To calculate the maximum height, we can use the formula:

$\text{Max height} = \text{Pole height} + \text{Radius}$

Substituting the given values:

$\text{Max height} = 124 m + 2 m = 126 m$

Maximum height: 126 m

The radius is given as 2 m. To find the area of the rotor, we use the formula for the area of a circle:

$A = \pi r^2$

Substituting the radius value:

$A = \pi (2 m)^2 = \pi \times 4 m^2 \approx 12.57 m^2$

Thus, the Area of the rotor: approximately 12.57 m²

To find the percentage increase, we can use the formula:

$\text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100$

Substituting the values:

$\text{Percentage Increase} = \frac{5000 - 800}{800} \times 100 = \frac{4200}{800} \times 100 = 525\%$

Thus, the Percentage Increase: 525%