W-Index given Duration of Rainfall Solution

STEP 0: Pre-Calculation Summary
Formula Used
W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall
W = (P-QV)/D
This formula uses 4 Variables
Variables Used
W-Index - W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.
Precipitation - (Measured in Millimeter) - Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations.
Runoff Volume - (Measured in Cubic Meter) - Runoff Volume is the average amount of water that flows down a particular river, per year, expressed as a volume of water flowing past a given point.
Duration of the Rainfall - (Measured in Second) - Duration of the Rainfall corresponding to rainfall depth is the total time during which the precipitation occurs.
STEP 1: Convert Input(s) to Base Unit
Precipitation: 120 Millimeter --> 120 Millimeter No Conversion Required
Runoff Volume: 19.5 Cubic Meter --> 19.5 Cubic Meter No Conversion Required
Duration of the Rainfall: 50 Second --> 50 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (P-QV)/D --> (120-19.5)/50
Evaluating ... ...
W = 2.01
STEP 3: Convert Result to Output's Unit
2.01 --> No Conversion Required
FINAL ANSWER
2.01 <-- W-Index
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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6 Infiltration Index Calculators

Runoff Coefficient given W-Index
Go Runoff Coefficient = Rainfall Depth in Centimeters-(W-Index*Duration of Rainfall)
W-Index given Duration of Rainfall
Go W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall
Duration of Rainfall given W-Index
Go Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index
Precipitation given W-Index
Go Precipitation = (W-Index*Duration of the Rainfall)+Runoff Volume
Runoff given W-Index
Go Runoff Volume = Precipitation-(W-Index*Duration of the Rainfall)
W-Index given Runoff Coefficient
Go W-Index = Intensity of Rainfall*(1-Runoff Coefficient)

W-Index given Duration of Rainfall Formula

W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall
W = (P-QV)/D

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 Duration of Rainfall?

W-Index given Duration of Rainfall calculator uses W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall to calculate the W-Index, The W-Index given Duration of Rainfall 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 Duration of Rainfall using this online calculator? To use this online calculator for W-Index given Duration of Rainfall, enter Precipitation (P), Runoff Volume (QV) & Duration of the Rainfall (D) and hit the calculate button. Here is how the W-Index given Duration of Rainfall calculation can be explained with given input values -> 2.01 = (0.12-19.5)/50.

FAQ

What is W-Index given Duration of Rainfall?
The W-Index given Duration of Rainfall is defined as the value of w index when we have prior information of other parameters used and is represented as W = (P-QV)/D or W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall. Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations, Runoff Volume is the average amount of water that flows down a particular river, per year, expressed as a volume of water flowing past a given point & Duration of the Rainfall corresponding to rainfall depth is the total time during which the precipitation occurs.
How to calculate W-Index given Duration of Rainfall?
The W-Index given Duration of Rainfall is defined as the value of w index when we have prior information of other parameters used is calculated using W-Index = (Precipitation-Runoff Volume)/Duration of the Rainfall. To calculate W-Index given Duration of Rainfall, you need Precipitation (P), Runoff Volume (QV) & Duration of the Rainfall (D). With our tool, you need to enter the respective value for Precipitation, Runoff Volume & Duration of the Rainfall 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 Precipitation, Runoff Volume & Duration of the Rainfall. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • W-Index = Intensity of Rainfall*(1-Runoff Coefficient)
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