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Froude Scaling given Velocity and Length Formula

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Froude Scaling or number is a dimensionless parameter measuring the ratio of inertia force on an element of fluid to the weight of the fluid element. Check FAQs

F n = \frac{V f}{\sqrt{[g] \cdot L f}}

F_n - Froude Scaling?V_f - Velocity of Fluid?L_f - Length for Froude Scaling?[g] - Gravitational acceleration on Earth?

Froude Scaling given Velocity and Length Example

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Here is how the Froude Scaling given Velocity and Length equation looks like with Values.

Here is how the Froude Scaling given Velocity and Length equation looks like with Units.

Here is how the Froude Scaling given Velocity and Length equation looks like.

0.5943 = \frac{20}{\sqrt{9.8066 \cdot 115.5}}

0.5943 = \frac{20m/s}{\sqrt{9.8066m/s² \cdot 115.5m}}

0.5943 = \frac{20}{\sqrt{9.8066 \cdot 115.5}}

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Froude Scaling given Velocity and Length Solution

Follow our step by step solution on how to calculate Froude Scaling given Velocity and Length?

FIRST Step Consider the formula

F n = \frac{V f}{\sqrt{[g] \cdot L f}}

Next Step Substitute values of Variables

∴

F n = \frac{20m/s}{\sqrt{[g] \cdot 115.5m}}

Next Step Substitute values of Constants

∴

F n = \frac{20m/s}{\sqrt{9.8066m/s² \cdot 115.5m}}

Next Step Prepare to Evaluate

∴

F n = \frac{20}{\sqrt{9.8066 \cdot 115.5}}

Next Step Evaluate

∴

F n = 0.594262965384003

LAST Step Rounding Answer

∴

F n = 0.5943

Froude Scaling given Velocity and Length Formula Elements

Variables

Constants

Functions

Froude Scaling

Froude Scaling or number is a dimensionless parameter measuring the ratio of inertia force on an element of fluid to the weight of the fluid element.

Symbol: F_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Froude Scaling

Velocity of Fluid

Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Fluid

Length for Froude Scaling

Length for Froude Scaling is the measurement of the channel length used for determination of scaling.

Symbol: L_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length for Froude Scaling

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 to find Froude Scaling

Go Froude Scaling

F n = \sqrt{\frac{F i}{F g}}

Other formulas in Froude Scaling category

Go Inertia or Pressure Forces given Froude Scaling

F i = ({F n}^{2}) \cdot F g

Go Gravity Forces for Froude Scaling

F g = \frac{F i}{{F n}^{2}}

Go Velocity for Froude Scaling

V f = F n \cdot \sqrt{[g] \cdot L f}

Go Length for Froude Scaling

L f = \frac{{(\frac{V f}{F n})}^{2}}{[g]}

How to Evaluate Froude Scaling given Velocity and Length?

Froude Scaling given Velocity and Length evaluator uses Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling) to evaluate the Froude Scaling, The Froude Scaling given Velocity and Length formula is defined as the ratio of velocities to the square root of length between model and prototype. Froude Scaling is denoted by F_n symbol.

How to evaluate Froude Scaling given Velocity and Length using this online evaluator? To use this online evaluator for Froude Scaling given Velocity and Length, enter Velocity of Fluid (V_f) & Length for Froude Scaling (L_f) and hit the calculate button.

FAQs on Froude Scaling given Velocity and Length

What is the formula to find Froude Scaling given Velocity and Length?

The formula of Froude Scaling given Velocity and Length is expressed as Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling). Here is an example- 0.594263 = 20/sqrt([g]*115.5).

How to calculate Froude Scaling given Velocity and Length?

With Velocity of Fluid (V_f) & Length for Froude Scaling (L_f) we can find Froude Scaling given Velocity and Length using the formula - Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Froude Scaling?

Here are the different ways to Calculate Froude Scaling-

Froude Scaling=sqrt(Inertia Forces/Forces Due to Gravity)

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