W-Index given Duration of Rainfall Calculator

✖Rainfall Depth refers to the vertical height of rainwater accumulated over a surface during a specific period, typically measured in millimeters (mm) or inches.ⓘ Rainfall Depth [P_cm]			+10% -10%
✖Runoff Depth refers to the vertical height of water from precipitation or irrigation that flows over land surfaces into water bodies, typically measured in centimeters (cm).ⓘ Runoff Depth [R]			+10% -10%
✖Rainfall duration refers to the length of time over which a rainfall event occurs, typically measured in hours or minutes, affecting runoff and infiltration.ⓘ Rainfall Duration [t_r]			+10% -10%

✖W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h.ⓘ W-Index given Duration of Rainfall [W]

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W-Index given Duration of Rainfall Solution

STEP 0: Pre-Calculation Summary

Formula Used

W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration
W = (P_cm-R)/t_r
This formula uses 4 Variables

Variables Used

W-Index - (Measured in Meter per Second) - W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h.
Rainfall Depth - (Measured in Millimeter) - Rainfall Depth refers to the vertical height of rainwater accumulated over a surface during a specific period, typically measured in millimeters (mm) or inches.
Runoff Depth - (Measured in Millimeter) - Runoff Depth refers to the vertical height of water from precipitation or irrigation that flows over land surfaces into water bodies, typically measured in centimeters (cm).
Rainfall Duration - (Measured in Second) - Rainfall duration refers to the length of time over which a rainfall event occurs, typically measured in hours or minutes, affecting runoff and infiltration.

STEP 1: Convert Input(s) to Base Unit

Rainfall Depth: 12 Centimeter --> 120 Millimeter (Check conversion here)
Runoff Depth: 6 Centimeter --> 60 Millimeter (Check conversion here)
Rainfall Duration: 3.5 Hour --> 12600 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (P_cm-R)/t_r --> (120-60)/12600

Evaluating ... ...

W = 0.00476190476190476

STEP 3: Convert Result to Output's Unit

0.00476190476190476 Meter per Second -->1714.28571428571 Centimeter per Hour (Check conversion here)

FINAL ANSWER

1714.28571428571 ≈ 1714.286 Centimeter per Hour <-- W-Index

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Duration of Rainfall Formula

LaTeX Go

W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration
W = (P_cm-R)/t_r

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 = (Rainfall Depth-Runoff Depth)/Rainfall Duration 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 Rainfall Depth (P_cm), Runoff Depth (R) & Rainfall Duration (t_r) and hit the calculate button. Here is how the W-Index given Duration of Rainfall calculation can be explained with given input values -> 4.1E+8 = (rainfall_in_cm-0.06)/12600.

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_cm-R)/t_r or W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration. Rainfall Depth refers to the vertical height of rainwater accumulated over a surface during a specific period, typically measured in millimeters (mm) or inches, Runoff Depth refers to the vertical height of water from precipitation or irrigation that flows over land surfaces into water bodies, typically measured in centimeters (cm) & Rainfall duration refers to the length of time over which a rainfall event occurs, typically measured in hours or minutes, affecting runoff and infiltration.

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 = (Rainfall Depth-Runoff Depth)/Rainfall Duration. To calculate W-Index given Duration of Rainfall, you need Rainfall Depth (P_cm), Runoff Depth (R) & Rainfall Duration (t_r). With our tool, you need to enter the respective value for Rainfall Depth, Runoff Depth & Rainfall Duration 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 Rainfall Depth, Runoff Depth & Rainfall Duration. 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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