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Manning's Formula for Roughness Coefficient given Chezy's Constant Formula

GoManning's Formula for Coefficient of Roughness given Average Velocity Formula

GoManning's Coefficient using Strickler Formula Formula

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Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel. Check FAQs

n = (\frac{1}{C}) \cdot {D Hydraulic}^{\frac{1}{6}}

n - Manning’s Roughness Coefficient?C - Chezy's Constant?D_Hydraulic - Hydraulic Depth?

Manning's Formula for Roughness Coefficient given Chezy's Constant Example

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Here is how the Manning's Formula for Roughness Coefficient given Chezy's Constant equation looks like with Values.

Here is how the Manning's Formula for Roughness Coefficient given Chezy's Constant equation looks like with Units.

Here is how the Manning's Formula for Roughness Coefficient given Chezy's Constant equation looks like.

0.03 = (\frac{1}{40}) \cdot 3^{\frac{1}{6}}

0.03 = (\frac{1}{40}) \cdot {3m}^{\frac{1}{6}}

0.03 = (\frac{1}{40}) \cdot 3^{\frac{1}{6}}

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Manning's Formula for Roughness Coefficient given Chezy's Constant Solution

Follow our step by step solution on how to calculate Manning's Formula for Roughness Coefficient given Chezy's Constant?

FIRST Step Consider the formula

n = (\frac{1}{C}) \cdot {D Hydraulic}^{\frac{1}{6}}

Next Step Substitute values of Variables

∴

n = (\frac{1}{40}) \cdot {3m}^{\frac{1}{6}}

Next Step Prepare to Evaluate

∴

n = (\frac{1}{40}) \cdot 3^{\frac{1}{6}}

Next Step Evaluate

∴

n = 0.0300234238794001

LAST Step Rounding Answer

∴

n = 0.03

Manning's Formula for Roughness Coefficient given Chezy's Constant Formula Elements

Variables

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

Chezy's Constant

The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Hydraulic Depth

Hydraulic Depth is defined as depth which in contact with water.

Symbol: D_Hydraulic

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Depth

Other Formulas to find Manning’s Roughness Coefficient

Go Manning's Formula for Coefficient of Roughness given Average Velocity

n = (\frac{1}{V avg(U)}) \cdot (S^{\frac{1}{2}}) \cdot ({R H}^{\frac{2}{3}})

Go Manning's Coefficient using Strickler Formula

n = \frac{{R a}^{\frac{1}{6}}}{21}

Other formulas in Manning's Formula in Uniform Flow category

Go Manning's Formula for Average Velocity

V avg(U) = (\frac{1}{n}) \cdot ({R H}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})

Go Manning's Formula for Hydraulic Radius given Average Velocity

R H = {(V avg(U) \cdot \frac{n}{\sqrt{S}})}^{\frac{3}{2}}

Go Manning's Formula for Slope of Channel Bed given Average Velocity

S = {(V avg(U) \cdot \frac{n}{{R H}^{\frac{2}{3}}})}^{2}

Go Manning's Formula for Hydraulic Radius given Chezy's Constant

R H = (\frac{1}{S}) \cdot {(\frac{V avg}{C})}^{2}

How to Evaluate Manning's Formula for Roughness Coefficient given Chezy's Constant?

Manning's Formula for Roughness Coefficient given Chezy's Constant evaluator uses Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6) to evaluate the Manning’s Roughness Coefficient, The Manning's Formula for Roughness Coefficient given Chezy's Constant formula is defined as the roughness coefficient by considering Chezy's constant or coefficient and the hydraulic mean depth by using Manning's formula. Manning’s Roughness Coefficient is denoted by n symbol.

How to evaluate Manning's Formula for Roughness Coefficient given Chezy's Constant using this online evaluator? To use this online evaluator for Manning's Formula for Roughness Coefficient given Chezy's Constant, enter Chezy's Constant (C) & Hydraulic Depth (D_Hydraulic) and hit the calculate button.

FAQs on Manning's Formula for Roughness Coefficient given Chezy's Constant

What is the formula to find Manning's Formula for Roughness Coefficient given Chezy's Constant?

The formula of Manning's Formula for Roughness Coefficient given Chezy's Constant is expressed as Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6). Here is an example- 0.030023 = (1/40)*3^(1/6).

How to calculate Manning's Formula for Roughness Coefficient given Chezy's Constant?

With Chezy's Constant (C) & Hydraulic Depth (D_Hydraulic) we can find Manning's Formula for Roughness Coefficient given Chezy's Constant using the formula - Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6).

What are the other ways to Calculate Manning’s Roughness Coefficient?

Here are the different ways to Calculate Manning’s Roughness Coefficient-

Manning’s Roughness Coefficient=(1/Average Velocity of Uniform Flow)*(Bed Slope^(1/2))*(Hydraulic Radius of Channel^(2/3))
Manning’s Roughness Coefficient=(Roughness Value^(1/6))/21

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