The formula to calculate the hang angle (θ) is:
\[ \theta = \arctan\left(\frac{H_a - H_h}{D}\right) \]
Where:
Let's say the height of the attachment points (H_a) is 2 meters, the height of the hammock (H_h) is 1 meter, and the distance between attachment points (D) is 3 meters. Using the formula:
\[ \theta = \arctan\left(\frac{2 - 1}{3}\right) \]
We get:
\[ \theta = \arctan\left(\frac{1}{3}\right) \approx 18.43 \, \text{degrees} \]
So, the hang angle is approximately 18.43 degrees.
Definition: Measures the length of a hammock from end to end.
Formula: \( L = E_1 - E_2 \)
Example: \( L = 15 - 0 \)
Definition: Determines the optimal height to hang a hammock.
Formula: \( H = \frac{D}{2} \)
Example: \( H = \frac{10}{2} \)
Definition: Calculates the proper angle and height to hang a hammock for optimal comfort.
Formula: \( \theta = \arcsin\left(\frac{H}{D}\right) \)
Example: \( \theta = \arcsin\left(\frac{5}{10}\right) \)
Definition: Measures the length of a hammock stand to ensure it fits the hammock.
Formula: \( S = L + 2 \)
Example: \( S = 15 + 2 \)
Definition: Determines the required distance between two points to hang a hammock.
Formula: \( D = L + 2 \)
Example: \( D = 15 + 2 \)
