To calculate the optimal tilt angle for solar panels:
\[ T = L - 23.45 \times \cos\left(\frac{2 \pi}{365} \times (d + 10)\right) \]
Where:
A solar tilt refers to the angle at which a solar panel is set to maximize its exposure to the sun. The optimal solar tilt angle is usually the same as the latitude of the location where the panel is installed. This angle can change throughout the year depending on the season and the movement of the sun. Adjusting the solar tilt can help to increase the efficiency and energy output of the solar panel.
Let's assume the following values:
Step 1: Convert degrees to radians:
\[ \text{Radians per day} = \frac{2 \pi}{365} \approx 0.0172 \text{ radians/day} \]
Step 2: Calculate the angle in radians for the day:
\[ \theta = \text{Radians per day} \times (d + 10) = 0.0172 \times (100 + 10) \approx 1.892 \text{ radians} \]
Step 3: Apply the cosine function:
\[ \cos(\theta) \approx \cos(1.892) \approx -0.316 \]
Step 4: Calculate the tilt angle:
\[ \text{T} = L - 23.45 \times \cos(\theta) = 35 - 23.45 \times -0.316 \approx 42.40 \text{ degrees} \]
