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Slope of Catchment about given Time of Concentration Formula

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Slope of Catchment depends on the stream profile, and is defined as the horizontal distance along the mainstream/the elevation difference between the two end points of the mainstream. Check FAQs

S = {(\frac{t c}{0.01947 \cdot L^{0.77}})}^{- \frac{1}{0.385}}

S - Slope of Catchment?t_c - Time of Concentration?L - Maximum Length of Travel of Water?

Slope of Catchment about given Time of Concentration Example

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Here is how the Slope of Catchment about given Time of Concentration equation looks like with Values.

Here is how the Slope of Catchment about given Time of Concentration equation looks like with Units.

Here is how the Slope of Catchment about given Time of Concentration equation looks like.

0.003 = {(\frac{87}{0.01947 \cdot 3^{0.77}})}^{- \frac{1}{0.385}}

0.003 = {(\frac{87s}{0.01947 \cdot {3km}^{0.77}})}^{- \frac{1}{0.385}}

0.003 = {(\frac{87}{0.01947 \cdot 3^{0.77}})}^{- \frac{1}{0.385}}

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Slope of Catchment about given Time of Concentration Solution

Follow our step by step solution on how to calculate Slope of Catchment about given Time of Concentration?

FIRST Step Consider the formula

S = {(\frac{t c}{0.01947 \cdot L^{0.77}})}^{- \frac{1}{0.385}}

Next Step Substitute values of Variables

∴

S = {(\frac{87s}{0.01947 \cdot {3km}^{0.77}})}^{- \frac{1}{0.385}}

Next Step Convert Units

∴

S = {(\frac{87s}{0.01947 \cdot {3000m}^{0.77}})}^{- \frac{1}{0.385}}

Next Step Prepare to Evaluate

∴

S = {(\frac{87}{0.01947 \cdot 3000^{0.77}})}^{- \frac{1}{0.385}}

Next Step Evaluate

∴

S = 0.00297388961451931

LAST Step Rounding Answer

∴

S = 0.003

Slope of Catchment about given Time of Concentration Formula Elements

Variables

Slope of Catchment

Slope of Catchment depends on the stream profile, and is defined as the horizontal distance along the mainstream/the elevation difference between the two end points of the mainstream.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Catchment

Time of Concentration

Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event.

Symbol: t_c

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time of Concentration

Maximum Length of Travel of Water

Maximum Length of Travel of Water in the watershed.

Symbol: L

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Maximum Length of Travel of Water

Other formulas in Kirpich Equation(1940) category

Go Maximum Length of Travel of Water

L = {(\frac{t c}{0.01947 \cdot S^{- 0.385}})}^{\frac{1}{0.77}}

Go Time of Concentration from Kirpich Adjustment Factor

t c = 0.01947 \cdot {K 1}^{0.77}

Go Kirpich Adjustment Factor

K 1 = \sqrt{\frac{L^{3}}{ΔH}}

Go Kirpich equation for Time of Concentration

t c = 0.01947 \cdot (L^{0.77}) \cdot S^{- 0.385}

How to Evaluate Slope of Catchment about given Time of Concentration?

Slope of Catchment about given Time of Concentration evaluator uses Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385) to evaluate the Slope of Catchment, The Slope of Catchment about given Time of Concentration formula is defined as the slope for the catchment upstream of each sampling site by dividing the difference in elevation between specific points in the catchment-by-catchment length. Slope of Catchment is denoted by S symbol.

How to evaluate Slope of Catchment about given Time of Concentration using this online evaluator? To use this online evaluator for Slope of Catchment about given Time of Concentration, enter Time of Concentration (t_c) & Maximum Length of Travel of Water (L) and hit the calculate button.

FAQs on Slope of Catchment about given Time of Concentration

What is the formula to find Slope of Catchment about given Time of Concentration?

The formula of Slope of Catchment about given Time of Concentration is expressed as Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385). Here is an example- 0.002974 = (87/(0.01947*3000^0.77))^(-1/0.385).

How to calculate Slope of Catchment about given Time of Concentration?

With Time of Concentration (t_c) & Maximum Length of Travel of Water (L) we can find Slope of Catchment about given Time of Concentration using the formula - Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385).

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