Duration of Rainfall given W-Index Calculator

✖Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations.ⓘ Precipitation [P]			+10% -10%
✖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.ⓘ Runoff Volume [Q_V]			+10% -10%
✖W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.ⓘ W-Index [W]			+10% -10%

✖Duration of the Rainfall corresponding to rainfall depth is the total time during which the precipitation occurs.ⓘ Duration of Rainfall given W-Index [D]

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Formula

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Duration of Rainfall given W-Index

Formula

`"D" = ("P"-"Q"_{"V"})/"W"`

Example

`"50s"=("120mm"-"19.5m³")/"2.01"`

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Duration of Rainfall given W-Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index
D = (P-Q_V)/W
This formula uses 4 Variables

Variables Used

Duration of the Rainfall - (Measured in Second) - Duration of the Rainfall corresponding to rainfall depth is the total time during which the precipitation occurs.
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.
W-Index - W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.

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
W-Index: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (P-Q_V)/W --> (120-19.5)/2.01

Evaluating ... ...

D = 50

STEP 3: Convert Result to Output's Unit

50 Second --> No Conversion Required

FINAL ANSWER

50 Second <-- Duration of the Rainfall

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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)

Duration of Rainfall given W-Index Formula

Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index
D = (P-Q_V)/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 Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index to calculate the Duration of the Rainfall, The Duration of Rainfall given W-Index is defined as the duration of rainfall when we have prior information of other parameters used. Duration of the Rainfall is denoted by D 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 Precipitation (P), Runoff Volume (Q_V) & 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 -> 50 = (0.12-19.5)/2.01.

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 D = (P-Q_V)/W or Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index. 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 & W-Index is the average infiltration rate during the time when the rainfall intensity exceeds the infiltration rate.

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 Duration of the Rainfall = (Precipitation-Runoff Volume)/W-Index. To calculate Duration of Rainfall given W-Index, you need Precipitation (P), Runoff Volume (Q_V) & W-Index (W). With our tool, you need to enter the respective value for Precipitation, Runoff Volume & 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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