The formula to calculate the Line Array Angle is:
\[ \theta = \tan^{-1}\left(\frac{d \cdot (n - 1)}{D}\right) \cdot \left(\frac{180}{\pi}\right) \]
Where:
A line array is a configuration of loudspeakers or antennas arranged in a straight line. This setup is commonly used in sound reinforcement systems and radio frequency applications to create a controlled and focused sound or signal beam. The spacing and number of elements in the array, along with the distance to the target, determine the angle and directionality of the beam. Line arrays are favored for their ability to provide even coverage and high directivity, making them ideal for large venues, concerts, and broadcast applications.
Let's assume the following values:
Using the formula:
\[ \theta = \tan^{-1}\left(\frac{0.5 \cdot (10 - 1)}{50}\right) \cdot \left(\frac{180}{\pi}\right) = 5.14 \text{ degrees} \]
The Angle is 5.14 degrees.
Let's assume the following values:
Using the formula:
\[ \theta = \tan^{-1}\left(\frac{0.8 \cdot (15 - 1)}{100}\right) \cdot \left(\frac{180}{\pi}\right) = 6.43 \text{ degrees} \]
The Angle is 6.43 degrees.