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W-Index given Duration of Rainfall Formula

GoW-Index given Runoff Coefficient 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 = \frac{P cm - R}{t r}

W - W-Index?P_cm - Rainfall Depth?R - Runoff Depth?t_r - Rainfall Duration?

W-Index given Duration of Rainfall Example

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With units

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Here is how the W-Index given Duration of Rainfall equation looks like with Values.

Here is how the W-Index given Duration of Rainfall equation looks like with Units.

Here is how the W-Index given Duration of Rainfall equation looks like.

1714.2857 = \frac{12 - 6}{3.5}

1714.2857cm/h = \frac{12cm - 6cm}{3.5h}

1714.2857 = \frac{12 - 6}{3.5}

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W-Index given Duration of Rainfall Solution

Follow our step by step solution on how to calculate W-Index given Duration of Rainfall?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = \frac{12cm - 6cm}{3.5h}

Next Step Convert Units

∴

W = \frac{120mm - 60mm}{12600s}

Next Step Prepare to Evaluate

∴

W = \frac{120 - 60}{12600}

Next Step Evaluate

∴

W = 0.00476190476190476m/s

Next Step Convert to Output's Unit

∴

W = 1714.28571428571cm/h

LAST Step Rounding Answer

∴

W = 1714.2857cm/h

W-Index given Duration of Rainfall 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

Rainfall Depth

Rainfall Depth refers to the vertical height of rainwater accumulated over a surface during a specific period, typically measured in millimeters (mm) or inches.

Symbol: P_cm

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Rainfall Depth

Runoff Depth

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).

Symbol: R

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Runoff Depth

Rainfall Duration

Rainfall duration refers to the length of time over which a rainfall event occurs, typically measured in hours or minutes, affecting runoff and infiltration.

Symbol: t_r

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Rainfall Duration

Other Formulas to find W-Index

Go W-Index given Runoff Coefficient

W = I \cdot (1 - C 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 Duration of Rainfall?

W-Index given Duration of Rainfall evaluator uses W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration to evaluate 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 evaluate W-Index given Duration of Rainfall using this online evaluator? To use this online evaluator for W-Index given Duration of Rainfall, enter Rainfall Depth (P_cm), Runoff Depth (R) & Rainfall Duration (t_r) and hit the calculate button.

FAQs on W-Index given Duration of Rainfall

What is the formula to find W-Index given Duration of Rainfall?

The formula of W-Index given Duration of Rainfall is expressed as W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration. Here is an example- 4.1E+8 = (rainfall_in_cm-0.06)/12600.

How to calculate W-Index given Duration of Rainfall?

With Rainfall Depth (P_cm), Runoff Depth (R) & Rainfall Duration (t_r) we can find W-Index given Duration of Rainfall using the formula - W-Index = (Rainfall Depth-Runoff Depth)/Rainfall Duration.

What are the other ways to Calculate W-Index?

Here are the different ways to Calculate W-Index-

W-Index=Intensity of Rainfall*(1-Runoff Coefficient)

Can the W-Index given Duration of Rainfall be negative?

No, the W-Index given Duration of Rainfall, measured in Speed cannot be negative.

Which unit is used to measure W-Index given Duration of Rainfall?

W-Index given Duration of Rainfall 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 Duration of Rainfall can be measured.

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W-Index given Duration of Rainfall Formula

​GoW-Index given Runoff Coefficient Formula

W-Index given Duration of Rainfall Example

W-Index given Duration of Rainfall Solution

W-Index given Duration of Rainfall Formula Elements

Other Formulas to find W-Index

Other formulas in Infiltration Index category

How to Evaluate W-Index given Duration of Rainfall?

FAQs on W-Index given Duration of Rainfall

Variable Name

GoW-Index given Runoff Coefficient Formula