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Froude Number given Top Width Formula

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Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders. Check FAQs

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

Fr - Froude Number?Q_f - Discharge for GVF Flow?T - Top Width?S - Wetted Surface Area?[g] - Gravitational acceleration on Earth?

Froude Number given Top Width Example

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Here is how the Froude Number given Top Width equation looks like with Values.

Here is how the Froude Number given Top Width equation looks like with Units.

Here is how the Froude Number given Top Width equation looks like.

9.9543 = \sqrt{177^{2} \cdot \frac{2}{9.8066 \cdot {4.01}^{3}}}

9.9543 = \sqrt{{177m³/s}^{2} \cdot \frac{2m}{9.8066m/s² \cdot {4.01m²}^{3}}}

9.9543 = \sqrt{177^{2} \cdot \frac{2}{9.8066 \cdot {4.01}^{3}}}

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Froude Number given Top Width Solution

Follow our step by step solution on how to calculate Froude Number given Top Width?

FIRST Step Consider the formula

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

Next Step Substitute values of Variables

∴

Fr = \sqrt{{177m³/s}^{2} \cdot \frac{2m}{[g] \cdot {4.01m²}^{3}}}

Next Step Substitute values of Constants

∴

Fr = \sqrt{{177m³/s}^{2} \cdot \frac{2m}{9.8066m/s² \cdot {4.01m²}^{3}}}

Next Step Prepare to Evaluate

∴

Fr = \sqrt{177^{2} \cdot \frac{2}{9.8066 \cdot {4.01}^{3}}}

Next Step Evaluate

∴

Fr = 9.95431472009473

LAST Step Rounding Answer

∴

Fr = 9.9543

Froude Number given Top Width Formula Elements

Variables

Constants

Functions

Froude Number

Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

Symbol: Fr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Froude Number

Discharge for GVF Flow

Discharge for GVF Flow is rate of flow per unit time.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for GVF Flow

Top Width

Top Width is defined as width at top of section.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width

Wetted Surface Area

Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wetted Surface Area

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

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.

Syntax: sqrt(Number)

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Go Discharge given Froude Number

Q f = \frac{Fr}{\sqrt{\frac{T}{[g] \cdot S^{3}}}}

How to Evaluate Froude Number given Top Width?

Froude Number given Top Width evaluator uses Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)) to evaluate the Froude Number, The Froude Number given Top Width formula is defined as a dimensionless quantity which is the ratio of inertial forces to gravity forces acting on the fluid. Froude Number is denoted by Fr symbol.

How to evaluate Froude Number given Top Width using this online evaluator? To use this online evaluator for Froude Number given Top Width, enter Discharge for GVF Flow (Q_f), Top Width (T) & Wetted Surface Area (S) and hit the calculate button.

FAQs on Froude Number given Top Width

What is the formula to find Froude Number given Top Width?

The formula of Froude Number given Top Width is expressed as Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)). Here is an example- 9.991667 = sqrt(177^2*2/([g]*4.01^3)).

How to calculate Froude Number given Top Width?

With Discharge for GVF Flow (Q_f), Top Width (T) & Wetted Surface Area (S) we can find Froude Number given Top Width using the formula - Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

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Froude Number given Top Width Formula

Froude Number given Top Width Example

Froude Number given Top Width Solution

Froude Number given Top Width Formula Elements

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Froude Number given Top Width?

FAQs on Froude Number given Top Width

Variable Name