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Froude Number given Velocity 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 = \frac{V FN}{\sqrt{[g] \cdot d section}}

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

Froude Number given Velocity Example

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

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

Here is how the Froude Number given Velocity equation looks like.

9.9966 = \frac{70}{\sqrt{9.8066 \cdot 5}}

9.9966 = \frac{70m/s}{\sqrt{9.8066m/s² \cdot 5m}}

9.9966 = \frac{70}{\sqrt{9.8066 \cdot 5}}

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Froude Number given Velocity Solution

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

FIRST Step Consider the formula

Fr = \frac{V FN}{\sqrt{[g] \cdot d section}}

Next Step Substitute values of Variables

∴

Fr = \frac{70m/s}{\sqrt{[g] \cdot 5m}}

Next Step Substitute values of Constants

∴

Fr = \frac{70m/s}{\sqrt{9.8066m/s² \cdot 5m}}

Next Step Prepare to Evaluate

∴

Fr = \frac{70}{\sqrt{9.8066 \cdot 5}}

Next Step Evaluate

∴

Fr = 9.99660886860324

LAST Step Rounding Answer

∴

Fr = 9.9966

Froude Number given Velocity 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

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

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

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 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 Froude Number given Velocity?

Froude Number given Velocity evaluator uses Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section) to evaluate the Froude Number, The Froude Number given Velocity is defined as a dimensionless number defined as the ratio of the flow inertia to the external field. Froude Number is denoted by Fr symbol.

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

FAQs on Froude Number given Velocity

What is the formula to find Froude Number given Velocity?

The formula of Froude Number given Velocity is expressed as Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section). Here is an example- 7.140435 = 70/sqrt([g]*5).

How to calculate Froude Number given Velocity?

With Mean Velocity for Froude Number (V_FN) & Diameter of Section (d_section) we can find Froude Number given Velocity using the formula - Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

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