Slope of Ground Surface given Peak Rate of Runoff Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope of the ground = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Intensity of Rainfall in Burkli Zeigler*Runoff Coefficient for Burkli Zeigler*sqrt(Drainage Area)))^2
So = ((QBZ*455)/(IBZ*K'*sqrt(AD)))^2
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Slope of the ground - Slope of the ground is defined in terms of meter per unit thousands of meter.
Peak Rate of Runoff for Burkli Zeigler - (Measured in Cubic Meter per Second) - Peak Rate of Runoff for Burkli Zeigler is the maximum rate of discharge during the period of runoff caused by a storm.
Intensity of Rainfall in Burkli Zeigler - (Measured in Meter per Second) - Intensity of Rainfall in Burkli Zeigler refers to the amount of rain that falls over a specific period, usually measured in millimeters per hour (mm/hr) or inches per hour.
Runoff Coefficient for Burkli Zeigler - Runoff Coefficient for Burkli Zeigler is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received.
Drainage Area - (Measured in Square Meter) - Drainage Area is the total surface area, where the water from rain which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point.
STEP 1: Convert Input(s) to Base Unit
Peak Rate of Runoff for Burkli Zeigler: 1.34 Cubic Meter per Second --> 1.34 Cubic Meter per Second No Conversion Required
Intensity of Rainfall in Burkli Zeigler: 7.5 Centimeter per Hour --> 2.08333333333333E-05 Meter per Second (Check conversion ​here)
Runoff Coefficient for Burkli Zeigler: 251878.2 --> No Conversion Required
Drainage Area: 30 Hectare --> 300000 Square Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
So = ((QBZ*455)/(IBZ*K'*sqrt(AD)))^2 --> ((1.34*455)/(2.08333333333333E-05*251878.2*sqrt(300000)))^2
Evaluating ... ...
So = 0.0449999931846172
STEP 3: Convert Result to Output's Unit
0.0449999931846172 --> No Conversion Required
FINAL ANSWER
0.0449999931846172 0.045 <-- Slope of the ground
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Burkli Ziegler Formula Calculators

Peak Rate of Runoff from Burkli-Ziegler Formula
​ LaTeX ​ Go Peak Rate of Runoff for Burkli Zeigler = ((Runoff Coefficient for Burkli Zeigler*Intensity of Rainfall in Burkli Zeigler*Drainage Area)/455)*sqrt(Slope of the ground/Drainage Area)
Drainage Area for Peak Rate of Runoff
​ LaTeX ​ Go Drainage Area = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Runoff Coefficient for Burkli Zeigler*Intensity of Rainfall in Burkli Zeigler*sqrt(Slope of the ground)))^2
Runoff Coefficient for Peak Rate of Runoff
​ LaTeX ​ Go Runoff Coefficient for Burkli Zeigler = (455*Peak Rate of Runoff for Burkli Zeigler)/(Intensity of Rainfall in Burkli Zeigler*sqrt(Slope of the ground*Drainage Area))
Maximum Rainfall Intensity given Peak Rate of Runoff
​ LaTeX ​ Go Intensity of Rainfall in Burkli Zeigler = 455*Peak Rate of Runoff for Burkli Zeigler/(Runoff Coefficient for Burkli Zeigler*sqrt(Slope of the ground*Drainage Area))

Slope of Ground Surface given Peak Rate of Runoff Formula

​LaTeX ​Go
Slope of the ground = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Intensity of Rainfall in Burkli Zeigler*Runoff Coefficient for Burkli Zeigler*sqrt(Drainage Area)))^2
So = ((QBZ*455)/(IBZ*K'*sqrt(AD)))^2

What is Slope of Ground ?

A Slope of Ground is the steepness or degree of inclination of a surface. It is a critical factor in various engineering and environmental applications, including drainage design, road construction, and land development.

How to Calculate Slope of Ground Surface given Peak Rate of Runoff?

Slope of Ground Surface given Peak Rate of Runoff calculator uses Slope of the ground = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Intensity of Rainfall in Burkli Zeigler*Runoff Coefficient for Burkli Zeigler*sqrt(Drainage Area)))^2 to calculate the Slope of the ground, The Slope of Ground Surface given Peak Rate of Runoff formula is defined as the slope of the ground surface when we have prior information of other parameters. Slope of the ground is denoted by So symbol.

How to calculate Slope of Ground Surface given Peak Rate of Runoff using this online calculator? To use this online calculator for Slope of Ground Surface given Peak Rate of Runoff, enter Peak Rate of Runoff for Burkli Zeigler (QBZ), Intensity of Rainfall in Burkli Zeigler (IBZ), Runoff Coefficient for Burkli Zeigler (K') & Drainage Area (AD) and hit the calculate button. Here is how the Slope of Ground Surface given Peak Rate of Runoff calculation can be explained with given input values -> 0.045 = ((1.34*455)/(2.08333333333333E-05*251878.2*sqrt(300000)))^2.

FAQ

What is Slope of Ground Surface given Peak Rate of Runoff?
The Slope of Ground Surface given Peak Rate of Runoff formula is defined as the slope of the ground surface when we have prior information of other parameters and is represented as So = ((QBZ*455)/(IBZ*K'*sqrt(AD)))^2 or Slope of the ground = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Intensity of Rainfall in Burkli Zeigler*Runoff Coefficient for Burkli Zeigler*sqrt(Drainage Area)))^2. Peak Rate of Runoff for Burkli Zeigler is the maximum rate of discharge during the period of runoff caused by a storm, Intensity of Rainfall in Burkli Zeigler refers to the amount of rain that falls over a specific period, usually measured in millimeters per hour (mm/hr) or inches per hour, Runoff Coefficient for Burkli Zeigler is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received & Drainage Area is the total surface area, where the water from rain which is not absorbed into the ground flows over the ground surface, back into streams, to finally reach that point.
How to calculate Slope of Ground Surface given Peak Rate of Runoff?
The Slope of Ground Surface given Peak Rate of Runoff formula is defined as the slope of the ground surface when we have prior information of other parameters is calculated using Slope of the ground = ((Peak Rate of Runoff for Burkli Zeigler*455)/(Intensity of Rainfall in Burkli Zeigler*Runoff Coefficient for Burkli Zeigler*sqrt(Drainage Area)))^2. To calculate Slope of Ground Surface given Peak Rate of Runoff, you need Peak Rate of Runoff for Burkli Zeigler (QBZ), Intensity of Rainfall in Burkli Zeigler (IBZ), Runoff Coefficient for Burkli Zeigler (K') & Drainage Area (AD). With our tool, you need to enter the respective value for Peak Rate of Runoff for Burkli Zeigler, Intensity of Rainfall in Burkli Zeigler, Runoff Coefficient for Burkli Zeigler & Drainage Area 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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