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Scale Factor for Length when Forces on the Prototype and Force on the Model is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model))
αL = sqrt(Fp/(αρ*αV^2*Fm))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Force on the Prototype- Force on the Prototype used to denote the ratio between the prototype, quantity and the model.
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.
Force on the Model- Force on the Model used to denote the ratio between the prototype, quantity and the model.
STEP 1: Convert Input(s) to Base Unit
Force on the Prototype: 20 --> No Conversion Required
Scale Factor for the Density of Fluid: 15 --> No Conversion Required
Scale Factor for the Velocity: 10 --> No Conversion Required
Force on the Model: 28 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αL = sqrt(Fp/(αρ*αV^2*Fm)) --> sqrt(20/(15*10^2*28))
Evaluating ... ...
αL = 0.0218217890235992
STEP 3: Convert Result to Output's Unit
0.0218217890235992 --> No Conversion Required
FINAL ANSWER
0.0218217890235992 <-- Scale Factor for the Length
(Calculation completed in 00.000 seconds)

10+ Relation between the Forces on the Prototype and Forces on the Model Calculators

Scale Factor for Velocity when Forces on the Prototype and Force on the Model is given
scale_factor_velocity = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Length^2*Force on the Model)) Go
Scale Factor for Length when Forces on the Prototype and Force on the Model is given
scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model)) Go
Force on the Model when Scale Factor Parameters are known is given
force_on_model = Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2) Go
Relation between the Forces on the Prototype and Forces on Model
force_on_prototype = Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2*Force on the Model Go
Scale Factor for the Density of Fluid when Forces on the Prototype and the Model is given
scale_factor_fluid_density = Force on the Prototype/(Scale Factor for the Velocity^2*Scale Factor for the Length^2*Force on the Model) Go
Viscous Forces using Newton’s friction model
viscous_forces = (Inertia force*Dynamic viscosity)/(density of fluid*Velocity*Length) Go
Force on the Model when Force on the Prototype is given
force_on_model = Force on the Prototype/Scale Factor for the Inertia Forces Go
Force on the Prototype
force_on_prototype = Scale Factor for the Inertia Forces*Force on the Model Go
Scale Factor for Inertia Forces when Force on the Prototype and Model is given
scale_factor_inertia_forces = Force on the Prototype/Force on the Model Go
Scale Factor for Inertia Forces when Force on the Prototype is given
scale_factor_inertia_forces = Force on the Prototype/Force on the Model Go

Scale Factor for Length when Forces on the Prototype and Force on the Model is given Formula

scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model))
αL = sqrt(Fp/(αρ*αV^2*Fm))

What is the difference between a model and a prototype?

A model tends to lend itself to the aesthetics side of things, used to demonstrate look and feel. A Prototype is more geared towards testing to see if the final piece will work as intended. Whether that is it's physical size, geometry or function.

How to Calculate Scale Factor for Length when Forces on the Prototype and Force on the Model is given?

Scale Factor for Length when Forces on the Prototype and Force on the Model is given calculator uses scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model)) to calculate the Scale Factor for the Length, The Scale Factor for Length when Forces on the Prototype and Force on the Model is given is used to denote the ratio between the prototype, quantity and the model. Scale Factor for the Length and is denoted by αL symbol.

How to calculate Scale Factor for Length when Forces on the Prototype and Force on the Model is given using this online calculator? To use this online calculator for Scale Factor for Length when Forces on the Prototype and Force on the Model is given, enter Force on the Prototype (Fp), Scale Factor for the Density of Fluid (αρ), Scale Factor for the Velocity (αV) and Force on the Model (Fm) and hit the calculate button. Here is how the Scale Factor for Length when Forces on the Prototype and Force on the Model is given calculation can be explained with given input values -> 0.021822 = sqrt(20/(15*10^2*28)).

FAQ

What is Scale Factor for Length when Forces on the Prototype and Force on the Model is given?
The Scale Factor for Length when Forces on the Prototype and Force on the Model is given is used to denote the ratio between the prototype, quantity and the model and is represented as αL = sqrt(Fp/(αρ*αV^2*Fm)) or scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model)). Force on the Prototype used to denote the ratio between the prototype, quantity and the model, 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 when the velocity of a body or a water particle is defined as a displacement per unit of time and Force on the Model used to denote the ratio between the prototype, quantity and the model.
How to calculate Scale Factor for Length when Forces on the Prototype and Force on the Model is given?
The Scale Factor for Length when Forces on the Prototype and Force on the Model is given is used to denote the ratio between the prototype, quantity and the model is calculated using scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model)). To calculate Scale Factor for Length when Forces on the Prototype and Force on the Model is given, you need Force on the Prototype (Fp), Scale Factor for the Density of Fluid (αρ), Scale Factor for the Velocity (αV) and Force on the Model (Fm). With our tool, you need to enter the respective value for Force on the Prototype, Scale Factor for the Density of Fluid, Scale Factor for the Velocity and Force on the Model 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 Force on the Prototype, Scale Factor for the Density of Fluid, Scale Factor for the Velocity and Force on the Model. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • force_on_prototype = Scale Factor for the Inertia Forces*Force on the Model
  • scale_factor_inertia_forces = Force on the Prototype/Force on the Model
  • force_on_model = Force on the Prototype/Scale Factor for the Inertia Forces
  • force_on_prototype = Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2*Force on the Model
  • scale_factor_fluid_density = Force on the Prototype/(Scale Factor for the Velocity^2*Scale Factor for the Length^2*Force on the Model)
  • scale_factor_velocity = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Length^2*Force on the Model))
  • scale_factor_length = sqrt(Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Force on the Model))
  • force_on_model = Force on the Prototype/(Scale Factor for the Density of Fluid*Scale Factor for the Velocity^2*Scale Factor for the Length^2)
  • scale_factor_inertia_forces = Force on the Prototype/Force on the Model
  • viscous_forces = (Inertia force*Dynamic viscosity)/(density of fluid*Velocity*Length)
Where is the Scale Factor for Length when Forces on the Prototype and Force on the Model is given calculator used?
Among many, Scale Factor for Length when Forces on the Prototype and Force on the Model is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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