Scale Factor for Length given Scale Factor for Acceleration Calculator

✖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 the Acceleration when the acceleration of a body or a water particle is defined as an increase of the velocity per unit of time.ⓘ Scale Factor for the Acceleration [αA]			+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 Acceleration [αL]

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Formula

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Scale Factor for Length given Scale Factor for Acceleration

Formula

`"αL" = "αV"^2/"αA"`

Example

`"17.98737"=("4.242")^2/"1.0004"`

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Download Froude Scaling and Scale Factor Formulas PDF

Scale Factor for Length given Scale Factor for Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration
αL = αV^2/αA
This formula uses 3 Variables

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 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.
Scale Factor for the Acceleration - Scale Factor for the Acceleration when the acceleration of a body or a water particle is defined as an increase of the velocity per unit of time.

STEP 1: Convert Input(s) to Base Unit

Scale Factor for Velocity: 4.242 --> No Conversion Required
Scale Factor for the Acceleration: 1.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

αL = αV^2/αA --> 4.242^2/1.0004

Evaluating ... ...

αL = 17.987369052379

STEP 3: Convert Result to Output's Unit

17.987369052379 --> No Conversion Required

FINAL ANSWER

17.987369052379 ≈ 17.98737 <-- Scale Factor for Length

(Calculation completed in 00.004 seconds)

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< 15 Scale Factor Calculators

Scale Factor for Velocity given Scale Factor for Inertia Forces

Go Scale Factor for Velocity = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Length^2))

Scale Factor for Length given Scale Factor for Inertia Forces

Go Scale Factor for Length = sqrt(Scale Factor for Inertia Forces/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2))

Scale Factor for Density of Fluid given Scale Factor for Inertia Forces

Go Scale Factor for Density of Fluid = Scale Factor for Inertia Forces/(Scale Factor for Velocity^2*Scale Factor for Length^2)

Scale Factor for Inertia Forces

Go Scale Factor for Inertia Forces = Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2

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

Go Scale Factor for Length = sqrt(Scale Factor for the Time of Reynolds Scaling*Scale Factor for Fluid Viscosity)

Scale Factor for Velocity given Scale Factor for Acceleration

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

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

Go Scale Factor for the Time of Reynolds Scaling = Scale Factor for Length^2/Scale Factor for Fluid Viscosity

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

Go Scale Factor for Fluid Viscosity = Scale Factor for Length^2/Scale Factor for the Time of Reynolds Scaling

Scale Factor for Time given Scale Factor for Acceleration

Go Scale Factor for the Time = (Scale Factor for Velocity/Scale Factor for the Acceleration)

Scale Factor for Acceleration given Scale Factor for Time and Velocity

Go Scale Factor for the Acceleration = Scale Factor for Velocity/Scale Factor for the Time

Scale Factor for Length given Scale Factor for Acceleration

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

Scale Factor for Acceleration

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

Scale Factor for Velocity given Scale Factor for Time

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

Scale Factor for Time

Go Scale Factor for the Time = sqrt(Scale Factor for Length)

Scale Factor for Length given Scale Factor for Time

Go Scale Factor for Length = Scale Factor for the Time^(2)

Scale Factor for Length given Scale Factor for Acceleration Formula

Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration
αL = αV^2/αA

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 Acceleration?

Scale Factor for Length given Scale Factor for Acceleration calculator uses Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration to calculate the Scale Factor for Length, The Scale Factor for Length given Scale Factor for Acceleration is defined as the square root of the scale factor for acceleration, indicating the proportionate change in length. Scale Factor for Length is denoted by αL symbol.

How to calculate Scale Factor for Length given Scale Factor for Acceleration using this online calculator? To use this online calculator for Scale Factor for Length given Scale Factor for Acceleration, enter Scale Factor for Velocity (αV) & Scale Factor for the Acceleration (αA) and hit the calculate button. Here is how the Scale Factor for Length given Scale Factor for Acceleration calculation can be explained with given input values -> 17.98737 = 4.242^2/1.0004.

FAQ

What is Scale Factor for Length given Scale Factor for Acceleration?

The Scale Factor for Length given Scale Factor for Acceleration is defined as the square root of the scale factor for acceleration, indicating the proportionate change in length and is represented as αL = αV^2/αA or Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration. 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 the Acceleration when the acceleration of a body or a water particle is defined as an increase of the velocity per unit of time.

How to calculate Scale Factor for Length given Scale Factor for Acceleration?

The Scale Factor for Length given Scale Factor for Acceleration is defined as the square root of the scale factor for acceleration, indicating the proportionate change in length is calculated using Scale Factor for Length = Scale Factor for Velocity^2/Scale Factor for the Acceleration. To calculate Scale Factor for Length given Scale Factor for Acceleration, you need Scale Factor for Velocity (αV) & Scale Factor for the Acceleration (αA). With our tool, you need to enter the respective value for Scale Factor for Velocity & Scale Factor for the Acceleration 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 Velocity & Scale Factor for the Acceleration. We can use 3 other way(s) to calculate the same, which is/are as follows -

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