Population by Buston's Formula given Quantity of Water Calculator

Buston's Formula:

\[ P = \left(\frac{Q}{5663}\right)^2 \]

Population (thousands):

Range with 5% tolerance:

1. What is Buston's Formula for Population?

Definition: Buston's formula estimates population based on the quantity of water required for firefighting purposes.

Purpose: It helps urban planners and civil engineers determine population size based on water demand for fire protection.

2. How Does the Calculator Work?

The calculator uses Buston's formula:

\[ P = \left(\frac{Q}{5663}\right)^2 \]

Where:

\( P \) — Population in thousands
\( Q \) — Quantity of water in liters per minute (L/min)

Explanation: The formula relates water demand for firefighting to population size, with the constant 5663 derived from empirical data.

3. Importance of Population Estimation

Details: Accurate population estimation helps in proper infrastructure planning, water supply system design, and emergency preparedness.

4. Using the Calculator

Tips: Enter the quantity of water in L/min and tolerance percentage (default 5%). The calculator provides the estimated population and range considering the tolerance.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a tolerance factor?
A: The tolerance accounts for variations in water demand and estimation uncertainties. ±5% is typical but can be adjusted.

Q2: Where does the constant 5663 come from?
A: It's an empirical constant derived from historical data on water requirements per capita for fire protection.

Q3: How accurate is Buston's formula?
A: It provides a rough estimate. Accuracy depends on local conditions and should be cross-verified with other methods.

Q4: When would I change the tolerance?
A: Increase tolerance for areas with variable water demand or when using approximate water quantity values.

Q5: What's the typical water quantity for a small town?
A: Typically 10,000-20,000 L/min for towns of 20,000-80,000 population, but varies based on building types.