The formula to calculate the slope of a sewer line is:
\[ S = \left(\frac{D}{L \times 12}\right) \times 100 \]
Where:
Sewer line slope is the angle at which a sewer pipe is installed to ensure proper drainage. The slope is critical for the gravity flow of sewage and wastewater from a building to the municipal sewer system or septic tank. A slope that is too steep can cause liquids to flow too quickly, leaving solids behind and potentially causing blockages. Conversely, a slope that is too gentle may not provide enough force for waste to flow away, leading to stagnant water and potential backups. Proper slope is essential for the efficient and sanitary operation of a sewer system.
Example:
Step 1: Calculate the slope:
\[ S = \left(\frac{6}{50 \times 12}\right) \times 100 = \left(\frac{6}{600}\right) \times 100 = 1\% \]