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The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Check FAQs
m=i1-(Qeg2T[g]S3)
m - Slope of Line?i - Hydraulic Gradient to Head Loss?Qeg - Discharge by Energy Gradient?T - Top Width?S - Wetted Surface Area?[g] - Gravitational acceleration on Earth?

Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Example

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Here is how the Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient equation looks like with Values.

Here is how the Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient equation looks like with Units.

Here is how the Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient equation looks like.

3.9936Edit=2.02Edit1-(12.5Edit22Edit9.80664.01Edit3)
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Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Solution

Follow our step by step solution on how to calculate Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient?

FIRST Step Consider the formula
m=i1-(Qeg2T[g]S3)
Next Step Substitute values of Variables
m=2.021-(12.5m³/s22m[g]4.013)
Next Step Substitute values of Constants
m=2.021-(12.5m³/s22m9.8066m/s²4.013)
Next Step Prepare to Evaluate
m=2.021-(12.5229.80664.013)
Next Step Evaluate
m=3.99361487306497
LAST Step Rounding Answer
m=3.9936

Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Formula Elements

Variables
Constants
Slope of Line
The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Symbol: m
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Hydraulic Gradient to Head Loss
Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.
Symbol: i
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Discharge by Energy Gradient
Discharge by Energy Gradient is rate of floe per unit time.
Symbol: Qeg
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Top Width
Top Width is defined as width at top of section.
Symbol: T
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Wetted Surface Area
Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
Symbol: S
Measurement: AreaUnit:
Note: Value should be greater than 0.
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²

Other Formulas to find Slope of Line

​Go Slope of Dynamic Equation of Gradually Varied Flows
m=S0-Sf1-(Fr(d)2)

Other formulas in Gradually Varied Flow in Channels category

​Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow
S0=Sf+(m(1-(Fr(d)2)))
​Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
Fr(d)=1-(S0-Sfm)
​Go Froude Number given Top Width
Fr=Qf2T[g]S3
​Go Discharge given Froude Number
Qf=FrT[g]S3

How to Evaluate Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient?

Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient evaluator uses Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3))) to evaluate the Slope of Line, The Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient formula is defined as the rate of change of energy gradient along the flow. Slope of Line is denoted by m symbol.

How to evaluate Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient using this online evaluator? To use this online evaluator for Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient, enter Hydraulic Gradient to Head Loss (i), Discharge by Energy Gradient (Qeg), Top Width (T) & Wetted Surface Area (S) and hit the calculate button.

FAQs on Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient

What is the formula to find Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient?
The formula of Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient is expressed as Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3))). Here is an example- 4.02317 = 2.02/(1-(12.5^2*2/([g]*4.01^3))).
How to calculate Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient?
With Hydraulic Gradient to Head Loss (i), Discharge by Energy Gradient (Qeg), Top Width (T) & Wetted Surface Area (S) we can find Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient using the formula - Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3))). This formula also uses Gravitational acceleration on Earth constant(s).
What are the other ways to Calculate Slope of Line?
Here are the different ways to Calculate Slope of Line-
  • Slope of Line=(Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))OpenImg
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