W-Index given Runoff Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
W-Index = Intensity of Rainfall*(1-Runoff Coefficient)
W = I*(1-Cr)
This formula uses 3 Variables
Variables Used
W-Index - (Measured in Millimeter per Minute) - W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h.
Intensity of Rainfall - (Measured in Millimeter per Minute) - Intensity of Rainfall is defined as the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.
Runoff Coefficient - Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.
STEP 1: Convert Input(s) to Base Unit
Intensity of Rainfall: 16 Millimeter per Minute --> 16 Millimeter per Minute No Conversion Required
Runoff Coefficient: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = I*(1-Cr) --> 16*(1-0.5)
Evaluating ... ...
W = 8
STEP 3: Convert Result to Output's Unit
0.000133333333333333 Meter per Second -->48 Centimeter per Hour (Check conversion ​here)
FINAL ANSWER
48 Centimeter per Hour <-- W-Index
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Infiltration Index Calculators

W-Index given Duration of Rainfall
​ LaTeX ​ Go W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration
Duration of Rainfall given W-Index
​ LaTeX ​ Go Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index
Precipitation given W-Index
​ LaTeX ​ Go Rainfall Depth = (W-Index*Rainfall Duration)+Runoff Depth
Runoff given W-Index
​ LaTeX ​ Go Runoff Depth = Rainfall Depth-(W-Index*Rainfall Duration)

W-Index given Runoff Coefficient Formula

​LaTeX ​Go
W-Index = Intensity of Rainfall*(1-Runoff Coefficient)
W = I*(1-Cr)

What is w Index ?

The "W index is actually the average rate of infiltration and it is when the intensity of the rainfall increase and go beyond the rate of infiltration .

How to Calculate W-Index given Runoff Coefficient?

W-Index given Runoff Coefficient calculator uses W-Index = Intensity of Rainfall*(1-Runoff Coefficient) to calculate the W-Index, The W-Index given Runoff Coefficient is defined as the value of w index when we have prior information of other parameters used. W-Index is denoted by W symbol.

How to calculate W-Index given Runoff Coefficient using this online calculator? To use this online calculator for W-Index given Runoff Coefficient, enter Intensity of Rainfall (I) & Runoff Coefficient (Cr) and hit the calculate button. Here is how the W-Index given Runoff Coefficient calculation can be explained with given input values -> 1.7E+7 = 0.000266666666666667*(1-0.5).

FAQ

What is W-Index given Runoff Coefficient?
The W-Index given Runoff Coefficient is defined as the value of w index when we have prior information of other parameters used and is represented as W = I*(1-Cr) or W-Index = Intensity of Rainfall*(1-Runoff Coefficient). Intensity of Rainfall is defined as the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period & Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.
How to calculate W-Index given Runoff Coefficient?
The W-Index given Runoff Coefficient is defined as the value of w index when we have prior information of other parameters used is calculated using W-Index = Intensity of Rainfall*(1-Runoff Coefficient). To calculate W-Index given Runoff Coefficient, you need Intensity of Rainfall (I) & Runoff Coefficient (Cr). With our tool, you need to enter the respective value for Intensity of Rainfall & Runoff Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate W-Index?
In this formula, W-Index uses Intensity of Rainfall & Runoff Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration
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