Time Given Rainfall Intensity For Storms Having Frequency Of 10 Years Calculator

Formula Used:

\[ Time\ in\ Minutes = \left(\frac{K\ Constant\ when\ Storm\ having\ Frequency\ of\ 10\ Year}{Rainfall\ Intensity\ for\ Storms\ Freq\ of\ 10\ Years}\right)^{\frac{1}{0.7}} - 20 \]

Time in Minutes:

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1. What is the Time Calculation Formula?

The formula calculates the time in minutes based on the K constant for storms with a 10-year frequency and the rainfall intensity for storms with a 10-year frequency. This calculation is important in hydrological studies and stormwater management.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Time\ in\ Minutes = \left(\frac{K\ Constant\ when\ Storm\ having\ Frequency\ of\ 10\ Year}{Rainfall\ Intensity\ for\ Storms\ Freq\ of\ 10\ Years}\right)^{\frac{1}{0.7}} - 20 \]

Where:

\( K\ Constant\ when\ Storm\ having\ Frequency\ of\ 10\ Year \) — Empirical constant with specific units as m/s
\( Rainfall\ Intensity\ for\ Storms\ Freq\ of\ 10\ Years \) — Ratio of total rainfall to duration period for 10-year frequency storms (m/s)
0.7 — Empirical exponent
20 — Empirical constant adjustment

Explanation: The formula accounts for the relationship between storm constants and rainfall intensity to determine time duration.

3. Importance of Time Calculation

Details: Accurate time calculation is crucial for hydrological modeling, flood prediction, and designing stormwater management systems for 10-year frequency storms.

4. Using the Calculator

Tips: Enter K constant and rainfall intensity values in m/s. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 10-year frequency?
A: A 10-year frequency storm has a 10% probability of occurring in any given year, representing a moderate storm event used in hydrological planning.

Q2: How are the K constants determined?
A: K constants are empirical values derived from regional rainfall data and statistical analysis of historical storm events.

Q3: What units should be used for input values?
A: Both K constant and rainfall intensity should be entered in meters per second (m/s) for consistent results.

Q4: Are there limitations to this formula?
A: The formula is empirical and may have regional variations. It works best for typical storm conditions and may need adjustment for extreme events.

Q5: Can this formula be used for other storm frequencies?
A: This specific formula is designed for 10-year frequency storms. Different frequencies may require different constants and formulas.