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Runoff Coefficient given W-Index Formula

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

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

C_r - Runoff Coefficient?P_cm - Rainfall Depth?W - W-Index?t_r - Rainfall Duration?

Runoff Coefficient given W-Index Example

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

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

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

0.06 = 12 - (1.714 \cdot 3.5)

0.06 = 12cm - (1.714cm/h \cdot 3.5h)

0.06 = 12 - (1.714 \cdot 3.5)

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Runoff Coefficient given W-Index Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C r = 12cm - (1.714cm/h \cdot 3.5h)

Next Step Convert Units

∴

C r = 0.12m - (4.8E-6m/s \cdot 12600s)

Next Step Prepare to Evaluate

∴

C r = 0.12 - (4.8E-6 \cdot 12600)

Next Step Evaluate

∴

C r = 0.06001

LAST Step Rounding Answer

∴

C r = 0.06

Runoff Coefficient given W-Index Formula Elements

Variables

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

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

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 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 in Infiltration Index category

Go W-Index given Duration of Rainfall

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

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}

How to Evaluate Runoff Coefficient given W-Index?

Runoff Coefficient given W-Index evaluator uses Runoff Coefficient = Rainfall Depth-(W-Index*Rainfall Duration) to evaluate the Runoff Coefficient, The Runoff Coefficient given W-Index formula is defined as the representation of the fraction of rainfall that is transformed into surface runoff, indicating the efficiency of precipitation absorption and retention by the underlying surface. Runoff Coefficient is denoted by C_r symbol.

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

FAQs on Runoff Coefficient given W-Index

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

The formula of Runoff Coefficient given W-Index is expressed as Runoff Coefficient = Rainfall Depth-(W-Index*Rainfall Duration). Here is an example- 0.04001 = rainfall_in_cm-(4.76111111111111E-06*12600).

How to calculate Runoff Coefficient given W-Index?

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

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Runoff Coefficient given W-Index Formula

Runoff Coefficient given W-Index Example

Runoff Coefficient given W-Index Solution

Runoff Coefficient given W-Index Formula Elements

Other formulas in Infiltration Index category

How to Evaluate Runoff Coefficient given W-Index?

FAQs on Runoff Coefficient given W-Index

Variable Name