Slope of Catchment about given Time of Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385)
S = (tc/(0.01947*L^0.77))^(-1/0.385)
This formula uses 3 Variables
Variables Used
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.
Time of Concentration - (Measured in Second) - Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event.
Maximum Length of Travel of Water - (Measured in Meter) - Maximum Length of Travel of Water in the watershed.
STEP 1: Convert Input(s) to Base Unit
Time of Concentration: 87 Second --> 87 Second No Conversion Required
Maximum Length of Travel of Water: 3 Kilometer --> 3000 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (tc/(0.01947*L^0.77))^(-1/0.385) --> (87/(0.01947*3000^0.77))^(-1/0.385)
Evaluating ... ...
S = 0.00297388961451931
STEP 3: Convert Result to Output's Unit
0.00297388961451931 --> No Conversion Required
FINAL ANSWER
0.00297388961451931 0.002974 <-- Slope of Catchment
(Calculation completed in 00.004 seconds)

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Kirpich Equation(1940) Calculators

Kirpich Adjustment Factor
​ LaTeX ​ Go Kirpich Adjustment Factor = sqrt(Maximum Length of Travel of Water^3/Difference in Elevation)
Maximum Length of Travel of Water
​ LaTeX ​ Go Maximum Length of Travel of Water = (Time of Concentration/(0.01947*Slope of Catchment^(-0.385)))^(1/0.77)
Slope of Catchment about given Time of Concentration
​ LaTeX ​ Go Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385)
Time of Concentration from Kirpich Adjustment Factor
​ LaTeX ​ Go Time of Concentration = 0.01947*Kirpich Adjustment Factor^0.77

Slope of Catchment about given Time of Concentration Formula

​LaTeX ​Go
Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385)
S = (tc/(0.01947*L^0.77))^(-1/0.385)

What is Time of Concentration?

Time of concentration is a concept used in hydrology to measure the response of a watershed to a rain event. It is defined as the time needed for water to flow from the most remote point in a watershed to the watershed outlet. It is a function of the topography, geology, and land use within the watershed.

What is the Catchment Area of a river?

A water catchment (commonly referred to as a “watershed”) is an area of land where all water flows to a single stream, river, lake or even ocean. Natural boundaries of water catchments can be very small for a single creek or stream or quite large.

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

Slope of Catchment about given Time of Concentration calculator uses Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385) to calculate 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 calculate Slope of Catchment about given Time of Concentration using this online calculator? To use this online calculator for Slope of Catchment about given Time of Concentration, enter Time of Concentration (tc) & Maximum Length of Travel of Water (L) and hit the calculate button. Here is how the Slope of Catchment about given Time of Concentration calculation can be explained with given input values -> 0.002974 = (87/(0.01947*3000^0.77))^(-1/0.385).

FAQ

What is Slope of Catchment about given Time of Concentration?
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 and is represented as S = (tc/(0.01947*L^0.77))^(-1/0.385) or Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385). Time of Concentration is a concept used in hydrology to measure the response of a watershed to a rain event & Maximum Length of Travel of Water in the watershed.
How to calculate Slope of Catchment about given Time of Concentration?
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 is calculated using Slope of Catchment = (Time of Concentration/(0.01947*Maximum Length of Travel of Water^0.77))^(-1/0.385). To calculate Slope of Catchment about given Time of Concentration, you need Time of Concentration (tc) & Maximum Length of Travel of Water (L). With our tool, you need to enter the respective value for Time of Concentration & Maximum Length of Travel of Water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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