Duration of Rainfall given W-Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index
tr = (Pcm-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
tr = (Pcm-R)/W --> (120-60)/4.76111111111111E-06
Evaluating ... ...
tr = 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)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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)

Duration of Rainfall given W-Index Formula

​LaTeX ​Go
Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index
tr = (Pcm-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 tr 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 (Pcm), 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 tr = (Pcm-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 (Pcm), 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!