Scale Factor for Length given Scale Factor for Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Scale Factor for Length = Scale Factor for the Time^(2)
αL = αT^(2)
This formula uses 2 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 the Time - Scale Factor for the Time refers to the ratio of time intervals between two frames of reference or events.
STEP 1: Convert Input(s) to Base Unit
Scale Factor for the Time: 4.243 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αL = αT^(2) --> 4.243^(2)
Evaluating ... ...
αL = 18.003049
STEP 3: Convert Result to Output's Unit
18.003049 --> No Conversion Required
FINAL ANSWER
18.003049 18.00305 <-- Scale Factor for Length
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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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 Time Formula

Scale Factor for Length = Scale Factor for the Time^(2)
αL = αT^(2)

What is Reynolds number?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. The ability to predict the onset of turbulent flow is an important design tool for equipment such as piping systems or aircraft wings, but the Reynolds number is also used in scaling of fluid dynamics problems, and is used to determine dynamic similitude between two different cases of fluid flow, such as between a model aircraft, and its full-size version. Such scaling is not linear and the application of Reynolds numbers to both situations allows scaling factors to be developed.

How to Calculate Scale Factor for Length given Scale Factor for Time?

Scale Factor for Length given Scale Factor for Time calculator uses Scale Factor for Length = Scale Factor for the Time^(2) to calculate the Scale Factor for Length, The Scale Factor for Length given Scale Factor for Time formula is defined as the ratio of the change in length to the change in time, maintaining proportional dimensions, defines the Scale Factor for Length. Scale Factor for Length is denoted by αL symbol.

How to calculate Scale Factor for Length given Scale Factor for Time using this online calculator? To use this online calculator for Scale Factor for Length given Scale Factor for Time, enter Scale Factor for the Time (αT) and hit the calculate button. Here is how the Scale Factor for Length given Scale Factor for Time calculation can be explained with given input values -> 18.00305 = 4.243^(2).

FAQ

What is Scale Factor for Length given Scale Factor for Time?
The Scale Factor for Length given Scale Factor for Time formula is defined as the ratio of the change in length to the change in time, maintaining proportional dimensions, defines the Scale Factor for Length and is represented as αL = αT^(2) or Scale Factor for Length = Scale Factor for the Time^(2). Scale Factor for the Time refers to the ratio of time intervals between two frames of reference or events.
How to calculate Scale Factor for Length given Scale Factor for Time?
The Scale Factor for Length given Scale Factor for Time formula is defined as the ratio of the change in length to the change in time, maintaining proportional dimensions, defines the Scale Factor for Length is calculated using Scale Factor for Length = Scale Factor for the Time^(2). To calculate Scale Factor for Length given Scale Factor for Time, you need Scale Factor for the Time (αT). With our tool, you need to enter the respective value for Scale Factor for the Time 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 the Time. 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 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)
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