Watershed Length given Form Factor Calculator

✖Watershed Area is an isolated area with a well demarcated boundary line, draining the rainwater to a single outlet.ⓘ Watershed Area [A]			+10% -10%
✖Form Factor is a ratio of watershed area to the square of the length of the watershed.ⓘ Form Factor [F_f]			+10% -10%

✖Watershed Length is distance from outlet to watershed boundary along main channel.ⓘ Watershed Length given Form Factor [L]

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Formula

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Watershed Length given Form Factor

Formula

`"L" = ("A"/"F"_{"f"})^(1/2)`

Example

`"50m"=("20m²"/"0.008")^(1/2)`

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Watershed Length given Form Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Watershed Length = (Watershed Area/Form Factor)^(1/2)
L = (A/F_f)^(1/2)
This formula uses 3 Variables

Variables Used

Watershed Length - (Measured in Meter) - Watershed Length is distance from outlet to watershed boundary along main channel.
Watershed Area - (Measured in Square Meter) - Watershed Area is an isolated area with a well demarcated boundary line, draining the rainwater to a single outlet.
Form Factor - Form Factor is a ratio of watershed area to the square of the length of the watershed.

STEP 1: Convert Input(s) to Base Unit

Watershed Area: 20 Square Meter --> 20 Square Meter No Conversion Required
Form Factor: 0.008 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (A/F_f)^(1/2) --> (20/0.008)^(1/2)

Evaluating ... ...

L = 50

STEP 3: Convert Result to Output's Unit

50 Meter --> No Conversion Required

FINAL ANSWER

50 Meter <-- Watershed Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Runoff » Runoff Density and Form Factor » Form Factors » Watershed Length given Form Factor

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has created this Calculator and 25+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< 10+ Form Factors Calculators

Watershed Length given Shape Factor

Go Watershed Length = sqrt(Shape Factor*Catchment Area)

Watershed Length given Form Factor

Go Watershed Length = (Watershed Area/Form Factor)^(1/2)

Shape Factor given Watershed Length

Go Shape Factor = (Watershed Length)^2/Catchment Area

Watershed Area given Shape Factor

Go Watershed Area = (Watershed Length^2)/Shape Factor

Form Factor using Watershed Dimensions

Go Form Factor = Watershed Area/Watershed Length^2

Watershed Area given Form Factor

Go Watershed Area = Form Factor*Watershed Length^2

Aerial Length of Basin given Form Factor

Go Length of Basin = Width of Basin/Form Factor

Form Factor given Width of Basin

Go Form Factor = Width of Basin/Length of Basin

Width of Basin given Form Factor

Go Width of Basin = Form Factor*Length of Basin

Form Factor given Shape Factor

Go Form Factor = 1/Shape Factor

Watershed Length given Form Factor Formula

Watershed Length = (Watershed Area/Form Factor)^(1/2)
L = (A/F_f)^(1/2)

What is Form Factor?

Form factor is defined as the ratio of the basin area to the square of the basin length. The value of the form factor would always be less than 0.754 (for a perfectly circular watershed). The smaller the value of the form factor, the more elongated will be the watershed.

What determines the Shape of a Watershed?

The Shape of a Watershed influences the shape of its characteristic hydrograph. For example, a long-shaped watershed generates, for the same rainfall, a lower outlet flow, as the concentration time is higher.

How to Calculate Watershed Length given Form Factor?

Watershed Length given Form Factor calculator uses Watershed Length = (Watershed Area/Form Factor)^(1/2) to calculate the Watershed Length, The Watershed Length given Form Factor formula is defined as the distance along the main channel from the outlet to the farthest point, considering basin shape. Watershed Length is denoted by L symbol.

How to calculate Watershed Length given Form Factor using this online calculator? To use this online calculator for Watershed Length given Form Factor, enter Watershed Area (A) & Form Factor (F_f) and hit the calculate button. Here is how the Watershed Length given Form Factor calculation can be explained with given input values -> 50 = (20/0.008)^(1/2).

FAQ

What is Watershed Length given Form Factor?

The Watershed Length given Form Factor formula is defined as the distance along the main channel from the outlet to the farthest point, considering basin shape and is represented as L = (A/F_f)^(1/2) or Watershed Length = (Watershed Area/Form Factor)^(1/2). Watershed Area is an isolated area with a well demarcated boundary line, draining the rainwater to a single outlet & Form Factor is a ratio of watershed area to the square of the length of the watershed.

How to calculate Watershed Length given Form Factor?

The Watershed Length given Form Factor formula is defined as the distance along the main channel from the outlet to the farthest point, considering basin shape is calculated using Watershed Length = (Watershed Area/Form Factor)^(1/2). To calculate Watershed Length given Form Factor, you need Watershed Area (A) & Form Factor (F_f). With our tool, you need to enter the respective value for Watershed Area & Form Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Watershed Length?

In this formula, Watershed Length uses Watershed Area & Form Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Watershed Length = sqrt(Shape Factor*Catchment Area)

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