Scale Factor for Length given Scale Factor for Inertia Forces Calculator

✖Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.ⓘ Scale Factor for Inertia Forces [αF]			+10% -10%
✖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.ⓘ Scale Factor for Density of Fluid [αρ]			+10% -10%
✖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.ⓘ Scale Factor for Velocity [αV]			+10% -10%

✖Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.ⓘ Scale Factor for Length given Scale Factor for Inertia Forces [αL]

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Scale Factor for Length given Scale Factor for Inertia Forces Solution

STEP 0: Pre-Calculation Summary

Formula Used

Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2))
αL = sqrt(αF/(αρ*αV^2))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Scale Factor for Inertia Forces: 5832.571 --> No Conversion Required
Scale Factor for Density of Fluid: 0.9999 --> No Conversion Required
Scale Factor for Velocity: 4.242 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

αL = sqrt(αF/(αρ*αV^2)) --> sqrt(5832.571/(0.9999*4.242^2))

Evaluating ... ...

αL = 18.0045001476522

STEP 3: Convert Result to Output's Unit

18.0045001476522 --> No Conversion Required

FINAL ANSWER

18.0045001476522 ≈ 18.0045 <-- Scale Factor for Length

(Calculation completed in 00.004 seconds)

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< Scale Factor Calculators

Scale Factor for Velocity given Scale Factor for Acceleration

LaTeX Go Scale Factor for Velocity = sqrt(Scale Factor for the Acceleration*Scale Factor for Length)

Scale Factor for Length given Scale Factor for Acceleration

LaTeX Go Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration

Scale Factor for Acceleration

LaTeX Go Scale Factor for the Acceleration = Scale Factor for Velocity^2/Scale Factor for Length

Scale Factor for Velocity given Scale Factor for Time

LaTeX Go Scale Factor for Velocity = Scale Factor for Length/Scale Factor for the Time

Scale Factor for Length given Scale Factor for Inertia Forces Formula

LaTeX Go

Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2))
αL = sqrt(αF/(αρ*αV^2))

What is Scaling Law?

Scaling laws describe the functional relationship between two physical quantities that scale with each other over a significant interval. An example of this is power law behaviour, where one quantity varies as a power of the other.

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

Scale Factor for Length given Scale Factor for Inertia Forces calculator uses Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)) to calculate 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 calculate Scale Factor for Length given Scale Factor for Inertia Forces using this online calculator? To use this online calculator 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. Here is how the Scale Factor for Length given Scale Factor for Inertia Forces calculation can be explained with given input values -> 18.0045 = sqrt(5832.571/(0.9999*4.242^2)).

FAQ

What is Scale Factor for Length given Scale Factor for Inertia Forces?

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) and is represented as αL = sqrt(αF/(αρ*αV^2)) or Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)). Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies, 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 & 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.

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

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) is calculated using Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2)). To calculate Scale Factor for Length given Scale Factor for Inertia Forces, you need Scale Factor for Inertia Forces (αF), Scale Factor for Density of Fluid (αρ) & Scale Factor for Velocity (αV). With our tool, you need to enter the respective value for Scale Factor for Inertia Forces, Scale Factor for Density of Fluid & Scale Factor for Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Scale Factor for Length?

In this formula, Scale Factor for Length uses Scale Factor for Inertia Forces, Scale Factor for Density of Fluid & Scale Factor for Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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