Basin Slope given Basin Lag Formula

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Basin Slope of the catchment under consideration. Check FAQs
SB=(LbasinLca(tpCrL)1nB)2
SB - Basin Slope?Lbasin - Basin Length?Lca - Distance along Main Water Course?tp - Basin Lag?CrL - Basin Constant?nB - Basin Constant 'n'?

Basin Slope given Basin Lag Example

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Here is how the Basin Slope given Basin Lag equation looks like with Values.

Here is how the Basin Slope given Basin Lag equation looks like with Units.

Here is how the Basin Slope given Basin Lag equation looks like.

1.193Edit=(9.4Edit12Edit(6Edit1.03Edit)10.38Edit)2
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Basin Slope given Basin Lag Solution

Follow our step by step solution on how to calculate Basin Slope given Basin Lag?

FIRST Step Consider the formula
SB=(LbasinLca(tpCrL)1nB)2
Next Step Substitute values of Variables
SB=(9.4km12km(6h1.03)10.38)2
Next Step Prepare to Evaluate
SB=(9.412(61.03)10.38)2
Next Step Evaluate
SB=1.19302527093235
LAST Step Rounding Answer
SB=1.193

Basin Slope given Basin Lag Formula Elements

Variables
Basin Slope
Basin Slope of the catchment under consideration.
Symbol: SB
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Basin Length
Basin Length measured along the watercourse from the basin divide to the gauging station in km.
Symbol: Lbasin
Measurement: LengthUnit: km
Note: Value should be greater than 0.
Distance along Main Water Course
Distance along Main Water Course from the gauging station to a point opposite to the watershed centroid in km.
Symbol: Lca
Measurement: LengthUnit: km
Note: Value should be greater than 0.
Basin Lag
Basin Lag is the elapsed time between the occurrences of the centroids of the effective rainfall.
Symbol: tp
Measurement: TimeUnit: h
Note: Value should be greater than 0.
Basin Constant
Basin Constant to determine the base lag with respect to basin slope.
Symbol: CrL
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Basin Constant 'n'
Basin Constant 'n' to determine the base lag with respect to basin slope.
Symbol: nB
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other formulas in Synder's Synthetic Unit Hydrograph category

​Go Peak Discharge for Nonstandard Effective Rainfall
Qp=2.78CpAt'p
​Go Regional Constant given Peak Discharge for Nonstandard Effective Rainfall
Cp=Qpt'p2.78A
​Go Catchment Area given Peak Discharge for Nonstandard Effective Rainfall
A=Qpt'p2.78Cr
​Go Modified Basin Lag given Peak Discharge for Nonstandard Effective Rainfall
t'p=2.78CrAQp

How to Evaluate Basin Slope given Basin Lag?

Basin Slope given Basin Lag evaluator uses Basin Slope = ((Basin Length*Distance along Main Water Course)/((Basin Lag/Basin Constant)^(1/Basin Constant 'n')))^2 to evaluate the Basin Slope, The Basin Slope given Basin Lag formula is defined as the slope determined by summing lengths of all contours in the basin multiplied by the contour interval and dividing the product by drainage area. Basin Slope is denoted by SB symbol.

How to evaluate Basin Slope given Basin Lag using this online evaluator? To use this online evaluator for Basin Slope given Basin Lag, enter Basin Length (Lbasin), Distance along Main Water Course (Lca), Basin Lag (tp), Basin Constant (CrL) & Basin Constant 'n' (nB) and hit the calculate button.

FAQs on Basin Slope given Basin Lag

What is the formula to find Basin Slope given Basin Lag?
The formula of Basin Slope given Basin Lag is expressed as Basin Slope = ((Basin Length*Distance along Main Water Course)/((Basin Lag/Basin Constant)^(1/Basin Constant 'n')))^2. Here is an example- 1.193025 = ((9400*12000)/((21600/1.03)^(1/0.38)))^2.
How to calculate Basin Slope given Basin Lag?
With Basin Length (Lbasin), Distance along Main Water Course (Lca), Basin Lag (tp), Basin Constant (CrL) & Basin Constant 'n' (nB) we can find Basin Slope given Basin Lag using the formula - Basin Slope = ((Basin Length*Distance along Main Water Course)/((Basin Lag/Basin Constant)^(1/Basin Constant 'n')))^2.
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