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Scale Factor for Length given Scale Factor for Inertia Forces Formula

GoScale Factor for Length given Scale Factor for Acceleration Formula

GoScale Factor for Length given Scale Factor for Time and Kinematic Viscosity Formula

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Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size. Check FAQs

αL = \sqrt{\frac{αF}{αρ \cdot {αV}^{2}}}

αL - Scale Factor for Length?αF - Scale Factor for Inertia Forces?αρ - Scale Factor for Density of Fluid?αV - Scale Factor for Velocity?

Scale Factor for Length given Scale Factor for Inertia Forces Example

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Here is how the Scale Factor for Length given Scale Factor for Inertia Forces equation looks like with Values.

Here is how the Scale Factor for Length given Scale Factor for Inertia Forces equation looks like with Units.

Here is how the Scale Factor for Length given Scale Factor for Inertia Forces equation looks like.

18.0045 = \sqrt{\frac{5832.571}{0.9999 \cdot {4.242}^{2}}}

18.0045 = \sqrt{\frac{5832.571}{0.9999 \cdot {4.242}^{2}}}

18.0045 = \sqrt{\frac{5832.571}{0.9999 \cdot {4.242}^{2}}}

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Scale Factor for Length given Scale Factor for Inertia Forces Solution

Follow our step by step solution on how to calculate Scale Factor for Length given Scale Factor for Inertia Forces?

FIRST Step Consider the formula

αL = \sqrt{\frac{αF}{αρ \cdot {αV}^{2}}}

Next Step Substitute values of Variables

∴

αL = \sqrt{\frac{5832.571}{0.9999 \cdot {4.242}^{2}}}

Next Step Prepare to Evaluate

∴

αL = \sqrt{\frac{5832.571}{0.9999 \cdot {4.242}^{2}}}

Next Step Evaluate

∴

αL = 18.0045001476522

LAST Step Rounding Answer

∴

αL = 18.0045

Scale Factor for Length given Scale Factor for Inertia Forces Formula Elements

Variables

Functions

Scale Factor for Length

Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.

Symbol: αL

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Length

Scale Factor for Inertia Forces

Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.

Symbol: αF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Inertia Forces

Scale Factor for Density of Fluid

Scale Factor for Density of Fluid is the velocity of a body, or a water particle is defined as a displacement per unit of time.

Symbol: αρ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Density of Fluid

Scale Factor for Velocity

Scale Factor for Velocity is the ratio between the velocity of an object in a reference frame to its velocity in another frame of reference.

Symbol: αV

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Scale Factor for Velocity

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 Scale Factor for Length

Go Scale Factor for Length given Scale Factor for Acceleration

αL = \frac{{αV}^{2}}{αA}

Go Scale Factor for Length given Scale Factor for Time and Kinematic Viscosity

αL = \sqrt{α TR \cdot αν}

Go Scale Factor for Length given Scale Factor for Time

αL = {αT}^{2}

Other formulas in Scale Factor category

Go Scale Factor for Velocity given Scale Factor for Time

αV = \frac{αL}{αT}

Go Scale Factor for Acceleration

αA = \frac{{αV}^{2}}{αL}

Go Scale Factor for Velocity given Scale Factor for Acceleration

αV = \sqrt{αA \cdot αL}

Go Scale Factor for Time given Scale Factor for Acceleration

αT = (\frac{αV}{αA})

How to Evaluate Scale Factor for Length given Scale Factor for Inertia Forces?

Scale Factor for Length given Scale Factor for Inertia Forces evaluator uses Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)) to evaluate the Scale Factor for Length, The Scale Factor for Length given Scale Factor for Inertia Forces is defined as a product of mass and acceleration, so the scale factor for the inertia forces (and the resulting pressure forces). Scale Factor for Length is denoted by αL symbol.

How to evaluate Scale Factor for Length given Scale Factor for Inertia Forces using this online evaluator? To use this online evaluator for Scale Factor for Length given Scale Factor for Inertia Forces, enter Scale Factor for Inertia Forces (αF), Scale Factor for Density of Fluid (αρ) & Scale Factor for Velocity (αV) and hit the calculate button.

FAQs on Scale Factor for Length given Scale Factor for Inertia Forces

What is the formula to find Scale Factor for Length given Scale Factor for Inertia Forces?

The formula of Scale Factor for Length given Scale Factor for Inertia Forces is expressed as Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)). Here is an example- 18.0045 = sqrt(5832.571/(0.9999*4.242^2)).

How to calculate Scale Factor for Length given Scale Factor for Inertia Forces?

With Scale Factor for Inertia Forces (αF), Scale Factor for Density of Fluid (αρ) & Scale Factor for Velocity (αV) we can find Scale Factor for Length given Scale Factor for Inertia Forces using the formula - Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Scale Factor for Length?

Here are the different ways to Calculate Scale Factor for Length-

Scale Factor for Length=Scale Factor for Velocity^2/Scale Factor for the Acceleration
Scale Factor for Length=sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity)
Scale Factor for Length=Scale Factor for the Time^(2)

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Scale Factor for Length given Scale Factor for Inertia Forces Formula

​GoScale Factor for Length given Scale Factor for Acceleration Formula

​GoScale Factor for Length given Scale Factor for Time and Kinematic Viscosity Formula

Scale Factor for Length given Scale Factor for Inertia Forces Example

Scale Factor for Length given Scale Factor for Inertia Forces Solution

Scale Factor for Length given Scale Factor for Inertia Forces Formula Elements

Other Formulas to find Scale Factor for Length

Other formulas in Scale Factor category

How to Evaluate Scale Factor for Length given Scale Factor for Inertia Forces?

FAQs on Scale Factor for Length given Scale Factor for Inertia Forces

Variable Name

GoScale Factor for Length given Scale Factor for Acceleration Formula

GoScale Factor for Length given Scale Factor for Time and Kinematic Viscosity Formula