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W-Index given Runoff Coefficient Formula

GoW-Index given Duration of Rainfall Formula

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W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h. Check FAQs

W = I \cdot (1 - C r)

W - W-Index?I - Intensity of Rainfall?C_r - Runoff Coefficient?

W-Index given Runoff Coefficient Example

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Here is how the W-Index given Runoff Coefficient equation looks like with Values.

Here is how the W-Index given Runoff Coefficient equation looks like with Units.

Here is how the W-Index given Runoff Coefficient equation looks like.

48 = 16 \cdot (1 - 0.5)

48cm/h = 16mm/min \cdot (1 - 0.5)

48 = 16 \cdot (1 - 0.5)

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W-Index given Runoff Coefficient Solution

Follow our step by step solution on how to calculate W-Index given Runoff Coefficient?

FIRST Step Consider the formula

W = I \cdot (1 - C r)

Next Step Substitute values of Variables

∴

W = 16mm/min \cdot (1 - 0.5)

Next Step Prepare to Evaluate

∴

W = 16 \cdot (1 - 0.5)

Next Step Evaluate

∴

W = 0.000133333333333333m/s

LAST Step Convert to Output's Unit

∴

W = 48cm/h

W-Index given Runoff Coefficient Formula Elements

Variables

W-Index

W-Index refers to the uniform rate of infiltration during a rainstorm after initial infiltration capacity has decreased, typically measured in cm/h.

Symbol: W

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find W-Index

Intensity of Rainfall

Intensity of Rainfall is defined as the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

Symbol: I

Measurement: SpeedUnit: mm/min

Note: Value can be positive or negative.

Formulas to find Intensity of Rainfall

Runoff Coefficient

Runoff Coefficient is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.

Symbol: C_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Runoff Coefficient

Other Formulas to find W-Index

Go W-Index given Duration of Rainfall

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

Other formulas in Infiltration Index category

Go Precipitation given W-Index

P cm = (W \cdot t r) + R

Go Runoff given W-Index

R = P cm - (W \cdot t r)

Go Duration of Rainfall given W-Index

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

Go Runoff Coefficient given W-Index

C r = P cm - (W \cdot t r)

How to Evaluate W-Index given Runoff Coefficient?

W-Index given Runoff Coefficient evaluator uses W-Index = Intensity of Rainfall*(1-Runoff Coefficient) to evaluate the W-Index, The W-Index given Runoff Coefficient 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 evaluate W-Index given Runoff Coefficient using this online evaluator? To use this online evaluator for W-Index given Runoff Coefficient, enter Intensity of Rainfall (I) & Runoff Coefficient (C_r) and hit the calculate button.

FAQs on W-Index given Runoff Coefficient

What is the formula to find W-Index given Runoff Coefficient?

The formula of W-Index given Runoff Coefficient is expressed as W-Index = Intensity of Rainfall*(1-Runoff Coefficient). Here is an example- 1.7E+7 = 0.000266666666666667*(1-0.5).

How to calculate W-Index given Runoff Coefficient?

With Intensity of Rainfall (I) & Runoff Coefficient (C_r) we can find W-Index given Runoff Coefficient using the formula - W-Index = Intensity of Rainfall*(1-Runoff Coefficient).

What are the other ways to Calculate W-Index?

Here are the different ways to Calculate W-Index-

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

Can the W-Index given Runoff Coefficient be negative?

No, the W-Index given Runoff Coefficient, measured in Speed cannot be negative.

Which unit is used to measure W-Index given Runoff Coefficient?

W-Index given Runoff Coefficient is usually measured using the Centimeter per Hour[cm/h] for Speed. Meter per Second[cm/h], Meter per Minute[cm/h], Meter per Hour[cm/h] are the few other units in which W-Index given Runoff Coefficient can be measured.

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