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Scale Factor for Length when Scale Factor for Inertia Forces is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
scale_factor_length = sqrt(Scale Factor for the Inertia Forces/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2))
αL = sqrt(αF/(αρ*αV^2))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Scale Factor for the Inertia Forces- Scale Factor for the Inertia Forces when the velocity of a body or a water particle is de…ned as a displacement per unit of time.
Scale Factor for the Density of Fluid- Scale Factor for the Density of Fluid when the velocity of a body or a water particle is defined as a displacement per unit of time.
Scale Factor for the Velocity- Scale Factor for the Velocity when the velocity of a body or a water particle is defined as a displacement per unit of time.
STEP 1: Convert Input(s) to Base Unit
Scale Factor for the Inertia Forces: 10 --> No Conversion Required
Scale Factor for the Density of Fluid: 15 --> No Conversion Required
Scale Factor for the Velocity: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αL = sqrt(αF/(αρ*αV^2)) --> sqrt(10/(15*10^2))
Evaluating ... ...
αL = 0.0816496580927726
STEP 3: Convert Result to Output's Unit
0.0816496580927726 --> No Conversion Required
FINAL ANSWER
0.0816496580927726 <-- Scale Factor for the Length
(Calculation completed in 00.000 seconds)

10+ Dimensionless Ratios and Scaling Laws Calculators

Scale Factor for Velocity when Scale Factor for Inertia Forces is given
scale_factor_velocity = sqrt(Scale Factor for the Inertia Forces/(Scale Factor for the Density of Fluid*Scale Factor for the Length^2)) Go
Scale Factor for Inertia Forces
scale_factor_inertia_forces = Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2 Go
Scale Factor for Velocity when Scale Factor for Acceleration is known
scale_factor_velocity = sqrt(Scale Factor for the Acceleration*Scale Factor for the Length) Go
Scale Factor for Length when Scale Factor for Acceleration is known
scale_factor_length = Scale Factor for the Velocity^2/Scale Factor for the Acceleration Go
Scale Factor for Acceleration
scale_factor_acceleration = Scale Factor for the Velocity^2/Scale Factor for the Length Go
Scale Factor for Time when Scale Factor for Acceleration is known
scale_factor_time = (Scale Factor for the Velocity/Scale Factor for the Acceleration) Go
Scale Factor for Acceleration when Scale Factor for Time and Velocity is known
scale_factor_acceleration = Scale Factor for the Velocity/Scale Factor for the Time Go
Scale Factor for Velocity when Scale Factor for the Time is known
scale_factor_velocity = Scale Factor for the Length/Scale Factor for the Time Go
Scale Factor for Length when Scale Factor for the Time is known
scale_factor_length = Scale Factor for the Time*Scale Factor for the Velocity Go
Scale Factor for the Time
scale_factor_time = Scale Factor for the Length/Scale Factor for the Velocity Go

Scale Factor for Length when Scale Factor for Inertia Forces is given Formula

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

What is a 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 when Scale Factor for Inertia Forces is given?

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

How to calculate Scale Factor for Length when Scale Factor for Inertia Forces is given using this online calculator? To use this online calculator for Scale Factor for Length when Scale Factor for Inertia Forces is given, enter Scale Factor for the Inertia Forces (αF), Scale Factor for the Density of Fluid (αρ) and Scale Factor for the Velocity (αV) and hit the calculate button. Here is how the Scale Factor for Length when Scale Factor for Inertia Forces is given calculation can be explained with given input values -> 0.08165 = sqrt(10/(15*10^2)).

FAQ

What is Scale Factor for Length when Scale Factor for Inertia Forces is given?
The Scale Factor for Length when Scale Factor for Inertia Forces is given influencing the inertia forces are 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_length = sqrt(Scale Factor for the Inertia Forces/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2)). Scale Factor for the Inertia Forces when the velocity of a body or a water particle is de…ned as a displacement per unit of time, Scale Factor for the Density of Fluid when the velocity of a body or a water particle is defined as a displacement per unit of time and Scale Factor for the Velocity when the velocity of a body or a water particle is defined as a displacement per unit of time.
How to calculate Scale Factor for Length when Scale Factor for Inertia Forces is given?
The Scale Factor for Length when Scale Factor for Inertia Forces is given influencing the inertia forces are 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_length = sqrt(Scale Factor for the Inertia Forces/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2)). To calculate Scale Factor for Length when Scale Factor for Inertia Forces is given, you need Scale Factor for the Inertia Forces (αF), Scale Factor for the Density of Fluid (αρ) and Scale Factor for the Velocity (αV). With our tool, you need to enter the respective value for Scale Factor for the Inertia Forces, Scale Factor for the Density of Fluid and Scale Factor for the 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 the Length?
In this formula, Scale Factor for the Length uses Scale Factor for the Inertia Forces, Scale Factor for the Density of Fluid and Scale Factor for the Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • scale_factor_time = Scale Factor for the Length/Scale Factor for the Velocity
  • scale_factor_length = Scale Factor for the Time*Scale Factor for the Velocity
  • scale_factor_velocity = Scale Factor for the Length/Scale Factor for the Time
  • scale_factor_acceleration = Scale Factor for the Velocity^2/Scale Factor for the Length
  • scale_factor_velocity = sqrt(Scale Factor for the Acceleration*Scale Factor for the Length)
  • scale_factor_length = Scale Factor for the Velocity^2/Scale Factor for the Acceleration
  • scale_factor_time = (Scale Factor for the Velocity/Scale Factor for the Acceleration)
  • scale_factor_acceleration = Scale Factor for the Velocity/Scale Factor for the Time
  • scale_factor_inertia_forces = Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2
  • scale_factor_velocity = sqrt(Scale Factor for the Inertia Forces/(Scale Factor for the Density of Fluid*Scale Factor for the Length^2))
Where is the Scale Factor for Length when Scale Factor for Inertia Forces is given calculator used?
Among many, Scale Factor for Length when Scale Factor for Inertia Forces is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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