Duration of Rainfall given W-Index 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%
✖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 [W]			+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.ⓘ Duration of Rainfall given W-Index [t_r]

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Formula

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Duration of Rainfall given W-Index

Formula

t r = \frac{P cm - R}{W}

Example

3500.583 h = \frac{12 cm - 6 cm}{1.714 cm/h}

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Duration of Rainfall given W-Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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).
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.

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)
W-Index: 1.714 Centimeter per Hour --> 4.76111111111111E-06 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_r = (P_cm-R)/W --> (120-60)/4.76111111111111E-06

Evaluating ... ...

t_r = 12602100.3500583

STEP 3: Convert Result to Output's Unit

12602100.3500583 Second -->3500.58343057176 Hour (Check conversion here)

FINAL ANSWER

3500.58343057176 ≈ 3500.583 Hour <-- Rainfall Duration

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Infiltration Index Calculators

W-Index given Duration of Rainfall

Go W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration

Duration of Rainfall given W-Index

Go Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index

Precipitation given W-Index

Go Rainfall Depth = (W-Index*Rainfall Duration)+Runoff Depth

Runoff given W-Index

Go Runoff Depth = Rainfall Depth-(W-Index*Rainfall Duration)

Duration of Rainfall given W-Index Formula

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

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 Duration of Rainfall given W-Index?

Duration of Rainfall given W-Index calculator uses Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index to calculate the Rainfall Duration, The Duration of Rainfall given W-Index is defined as the duration of rainfall when we have prior information of other parameters used. Rainfall Duration is denoted by t_r symbol.

How to calculate Duration of Rainfall given W-Index using this online calculator? To use this online calculator for Duration of Rainfall given W-Index, enter Rainfall Depth (P_cm), Runoff Depth (R) & W-Index (W) and hit the calculate button. Here is how the Duration of Rainfall given W-Index calculation can be explained with given input values -> 0.648256 = (rainfall_in_cm-0.06)/4.76111111111111E-06.

FAQ

What is Duration of Rainfall given W-Index?

The Duration of Rainfall given W-Index is defined as the duration of rainfall when we have prior information of other parameters used and is represented as t_r = (P_cm-R)/W or Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index. 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) & W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h.

How to calculate Duration of Rainfall given W-Index?

The Duration of Rainfall given W-Index is defined as the duration of rainfall when we have prior information of other parameters used is calculated using Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index. To calculate Duration of Rainfall given W-Index, you need Rainfall Depth (P_cm), Runoff Depth (R) & W-Index (W). With our tool, you need to enter the respective value for Rainfall Depth, Runoff Depth & W-Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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