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Duration of Rainfall given W-Index Formula

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

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

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

Duration of Rainfall given W-Index Example

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

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

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

3500.5834 = \frac{12 - 6}{1.714}

3500.5834h = \frac{12cm - 6cm}{1.714cm/h}

3500.5834 = \frac{12 - 6}{1.714}

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Duration of Rainfall given W-Index Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t r = \frac{12cm - 6cm}{1.714cm/h}

Next Step Convert Units

∴

t r = \frac{120mm - 60mm}{4.8E-6m/s}

Next Step Prepare to Evaluate

∴

t r = \frac{120 - 60}{4.8E-6}

Next Step Evaluate

∴

t r = 12602100.3500583s

Next Step Convert to Output's Unit

∴

t r = 3500.58343057176h

LAST Step Rounding Answer

∴

t r = 3500.5834h

Duration of Rainfall given W-Index Formula Elements

Variables

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

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

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

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 W-Index given Runoff Coefficient

W = I \cdot (1 - C r)

How to Evaluate Duration of Rainfall given W-Index?

Duration of Rainfall given W-Index evaluator uses Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index to evaluate 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 t_r symbol.

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

FAQs on Duration of Rainfall given W-Index

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

The formula of Duration of Rainfall given W-Index is expressed as Rainfall Duration = (Rainfall Depth-Runoff Depth)/W-Index. Here is an example- 0.648256 = (rainfall_in_cm-0.06)/4.76111111111111E-06.

How to calculate Duration of Rainfall given W-Index?

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

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

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

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

Duration of Rainfall given W-Index is usually measured using the Hour[h] for Time. Second[h], Millisecond[h], Microsecond[h] are the few other units in which Duration of Rainfall given W-Index can be measured.

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Duration of Rainfall given W-Index Formula

Duration of Rainfall given W-Index Example

Duration of Rainfall given W-Index Solution

Duration of Rainfall given W-Index Formula Elements

Other formulas in Infiltration Index category

How to Evaluate Duration of Rainfall given W-Index?

FAQs on Duration of Rainfall given W-Index

Variable Name