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Diameter of Section given Froude Number Formula

GoDiameter of Section through Section Considering Condition of Minimum Specific Energy Formula

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The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle. Check FAQs

d section = \frac{{(\frac{V FN}{Fr})}^{2}}{[g]}

d_section - Diameter of Section?V_FN - Mean Velocity for Froude Number?Fr - Froude Number?[g] - Gravitational acceleration on Earth?

Diameter of Section given Froude Number Example

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Here is how the Diameter of Section given Froude Number equation looks like with Values.

Here is how the Diameter of Section given Froude Number equation looks like with Units.

Here is how the Diameter of Section given Froude Number equation looks like.

4.9966 = \frac{{(\frac{70}{10})}^{2}}{9.8066}

4.9966m = \frac{{(\frac{70m/s}{10})}^{2}}{9.8066m/s²}

4.9966 = \frac{{(\frac{70}{10})}^{2}}{9.8066}

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Diameter of Section given Froude Number Solution

Follow our step by step solution on how to calculate Diameter of Section given Froude Number?

FIRST Step Consider the formula

d section = \frac{{(\frac{V FN}{Fr})}^{2}}{[g]}

Next Step Substitute values of Variables

∴

d section = \frac{{(\frac{70m/s}{10})}^{2}}{[g]}

Next Step Substitute values of Constants

∴

d section = \frac{{(\frac{70m/s}{10})}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

d section = \frac{{(\frac{70}{10})}^{2}}{9.8066}

Next Step Evaluate

∴

d section = 4.99660944359185m

LAST Step Rounding Answer

∴

d section = 4.9966m

Diameter of Section given Froude Number Formula Elements

Variables

Constants

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

Mean Velocity for Froude Number

Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_FN

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity for Froude Number

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

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 Diameter of Section

Go Diameter of Section through Section Considering Condition of Minimum Specific Energy

d section = \frac{{V mean}^{2}}{[g]}

Other formulas in Specific Energy and Critical Depth category

Go Total Energy per unit Weight of Water in Flow Section

E total = (\frac{{V mean}^{2}}{2 \cdot [g]}) + d f + y

Go Datum Height for Total Energy per unit Weight of Water in Flow Section

y = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + d f)

Go Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

V mean = \sqrt{(E total - (d f + y)) \cdot 2 \cdot [g]}

Go Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

d f = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + y)

How to Evaluate Diameter of Section given Froude Number?

Diameter of Section given Froude Number evaluator uses Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g] to evaluate the Diameter of Section, The Diameter of Section given Froude Number is defined as the width of section at any point of path in flow. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Section given Froude Number using this online evaluator? To use this online evaluator for Diameter of Section given Froude Number, enter Mean Velocity for Froude Number (V_FN) & Froude Number (Fr) and hit the calculate button.

FAQs on Diameter of Section given Froude Number

What is the formula to find Diameter of Section given Froude Number?

The formula of Diameter of Section given Froude Number is expressed as Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]. Here is an example- 2.549291 = ((70/10)^2)/[g].

How to calculate Diameter of Section given Froude Number?

With Mean Velocity for Froude Number (V_FN) & Froude Number (Fr) we can find Diameter of Section given Froude Number using the formula - Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

Diameter of Section=(Mean Velocity^2)/[g]

Can the Diameter of Section given Froude Number be negative?

No, the Diameter of Section given Froude Number, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Froude Number?

Diameter of Section given Froude Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Section given Froude Number can be measured.

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