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Width Of Unit Hydrograph At 50 Percent Peak Discharge Given 75 Percent Discharge Calculator

Formula Used:

\[ W_{50} = W_{75} \times 1.75 \]

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1. What is the Width of Unit Hydrograph Formula?

The formula calculates the width of a unit hydrograph at 50% peak discharge based on the width at 75% peak discharge. This relationship helps in hydrological analysis and flood prediction by estimating hydrograph characteristics at different discharge levels.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_{50} = W_{75} \times 1.75 \]

Where:

Explanation: This formula provides a simple linear relationship between the widths at different percentage points of the unit hydrograph's peak discharge.

3. Importance of Unit Hydrograph Width Calculation

Details: Calculating hydrograph widths at different discharge levels is crucial for flood forecasting, watershed management, and designing hydraulic structures. It helps in understanding the temporal distribution of runoff in a watershed.

4. Using the Calculator

Tips: Enter the width at 75% peak discharge in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a unit hydrograph?
A: A unit hydrograph represents the direct runoff response of a watershed to a unit depth of excess rainfall over a specific duration.

Q2: Why are widths at different percentages important?
A: Different width measurements help characterize the shape of the hydrograph, which is essential for understanding the timing and distribution of runoff.

Q3: How accurate is this conversion factor?
A: The 1.75 factor is a general approximation and may vary slightly depending on watershed characteristics and hydrograph shape.

Q4: Can this formula be used for all types of watersheds?
A: While generally applicable, the relationship may need adjustment for watersheds with unusual characteristics or extreme hydrological conditions.

Q5: What units should be used for input values?
A: Both input and output values are in meters, representing the time width of the hydrograph at the specified discharge percentages.

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