Equation for Topographic Factor Calculator

✖Field Slope Length is the distance from the highest point of origin of overland flow to the point where deposition begins.ⓘ Field Slope Length [γ]			+10% -10%
✖Exponent Factor is a parameter used to represent the influence of slope length on soil erosion, varying from 0.2 to 0.5.ⓘ Exponent Factor [m]			+10% -10%
✖Angle of Slope is a parameter influencing or contributing to topographic factor.ⓘ Angle of Slope [θ]			+10% -10%

✖Topographic Factor also called indirect factors as they influence the growth and development of organisms by bringing variations in climatic factors.ⓘ Equation for Topographic Factor [K_zt]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Soil Loss Equation Formulas PDF PDF Image

Equation for Topographic Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Topographic factor = ((Field Slope Length/22.13)^Exponent Factor)*(65.41*sin(Angle of Slope)^2+4.56*sin(Angle of Slope)+0.065)
K_zt = ((γ/22.13)^m)*(65.41*sin(θ)^2+4.56*sin(θ)+0.065)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Topographic factor - Topographic Factor also called indirect factors as they influence the growth and development of organisms by bringing variations in climatic factors.
Field Slope Length - (Measured in Meter) - Field Slope Length is the distance from the highest point of origin of overland flow to the point where deposition begins.
Exponent Factor - Exponent Factor is a parameter used to represent the influence of slope length on soil erosion, varying from 0.2 to 0.5.
Angle of Slope - Angle of Slope is a parameter influencing or contributing to topographic factor.

STEP 1: Convert Input(s) to Base Unit

Field Slope Length: 4 Meter --> 4 Meter No Conversion Required
Exponent Factor: 0.2 --> No Conversion Required
Angle of Slope: 45 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_zt = ((γ/22.13)^m)*(65.41*sin(θ)^2+4.56*sin(θ)+0.065) --> ((4/22.13)^0.2)*(65.41*sin(45)^2+4.56*sin(45)+0.065)

Evaluating ... ...

K_zt = 36.4393024604267

STEP 3: Convert Result to Output's Unit

36.4393024604267 --> No Conversion Required

FINAL ANSWER

36.4393024604267 ≈ 36.4393 <-- Topographic factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Erosion and Reservoir Sedimentation » Soil Loss Equation » Universal Soil Loss Equation » Equation for Topographic Factor

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Universal Soil Loss Equation Calculators

Soil Erodibility Factor given Soil Loss Per Unit Area in Unit Time

LaTeX Go Soil Erodibility Factor = Soil Loss Per Unit Area in Unit Time/(Rainfall Erosivity Factor*Slope Length Factor*Slope-Steepness Factor*Cover Management Factor*Support Practice Factor)

Slope Length Factor given Soil Loss Per Unit Area in Unit Time

LaTeX Go Slope Length Factor = Soil Loss Per Unit Area in Unit Time/(Rainfall Erosivity Factor*Soil Erodibility Factor*Slope-Steepness Factor*Cover Management Factor*Support Practice Factor)

Rainfall Erosivity Factor

LaTeX Go Rainfall Erosivity Factor = Soil Loss Per Unit Area in Unit Time/(Soil Erodibility Factor*Slope Length Factor*Slope-Steepness Factor*Cover Management Factor*Support Practice Factor)

Soil Loss Per Unit Area in Unit Time

LaTeX Go Soil Loss Per Unit Area in Unit Time = Rainfall Erosivity Factor*Soil Erodibility Factor*Slope Length Factor*Slope-Steepness Factor*Cover Management Factor*Support Practice Factor

Equation for Topographic Factor Formula

LaTeX Go

Topographic factor = ((Field Slope Length/22.13)^Exponent Factor)*(65.41*sin(Angle of Slope)^2+4.56*sin(Angle of Slope)+0.065)
K_zt = ((γ/22.13)^m)*(65.41*sin(θ)^2+4.56*sin(θ)+0.065)

What are Topographic factors?

Topographic factors such as elevation, slope angle, slope aspect, general curvature, plan curvature, and profile curvature are considered as the main causes of landslides.

What is Soil Erodibility?

Soil Erodibility (K) is the intrinsic susceptibility of soil to erosion by runoff and raindrop impact. Values of K range from the lowest erodibility, 0.02, to the highest, 0.69. All other factors being equal, the higher the K value, the greater the susceptibility of the soil to rill and sheet erosion by rainfall.

How to Calculate Equation for Topographic Factor?

Equation for Topographic Factor calculator uses Topographic factor = ((Field Slope Length/22.13)^Exponent Factor)*(65.41*sin(Angle of Slope)^2+4.56*sin(Angle of Slope)+0.065) to calculate the Topographic factor, The Equation for Topographic Factor formula is defined as the factors concerned with topography or physical features of an area that may include height, direction of slope, steepness of the slope etc. Topographic factor is denoted by K_zt symbol.

How to calculate Equation for Topographic Factor using this online calculator? To use this online calculator for Equation for Topographic Factor, enter Field Slope Length (γ), Exponent Factor (m) & Angle of Slope (θ) and hit the calculate button. Here is how the Equation for Topographic Factor calculation can be explained with given input values -> 36.4393 = ((4/22.13)^0.2)*(65.41*sin(45)^2+4.56*sin(45)+0.065).

FAQ

What is Equation for Topographic Factor?

The Equation for Topographic Factor formula is defined as the factors concerned with topography or physical features of an area that may include height, direction of slope, steepness of the slope etc and is represented as K_zt = ((γ/22.13)^m)*(65.41*sin(θ)^2+4.56*sin(θ)+0.065) or Topographic factor = ((Field Slope Length/22.13)^Exponent Factor)*(65.41*sin(Angle of Slope)^2+4.56*sin(Angle of Slope)+0.065). Field Slope Length is the distance from the highest point of origin of overland flow to the point where deposition begins, Exponent Factor is a parameter used to represent the influence of slope length on soil erosion, varying from 0.2 to 0.5 & Angle of Slope is a parameter influencing or contributing to topographic factor.

How to calculate Equation for Topographic Factor?

The Equation for Topographic Factor formula is defined as the factors concerned with topography or physical features of an area that may include height, direction of slope, steepness of the slope etc is calculated using Topographic factor = ((Field Slope Length/22.13)^Exponent Factor)*(65.41*sin(Angle of Slope)^2+4.56*sin(Angle of Slope)+0.065). To calculate Equation for Topographic Factor, you need Field Slope Length (γ), Exponent Factor (m) & Angle of Slope (θ). With our tool, you need to enter the respective value for Field Slope Length, Exponent Factor & Angle of Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search