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Relation between the Forces on the Prototype and Forces on Model Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Fp = αρ*αV^2*αL^2*Fm
This formula uses 4 Variables
Variables Used
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.
Scale Factor for the Length- Scale Factor for the Length when the velocity of a body or a water particle is de…ned 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
Scale Factor for the Density of Fluid: 15 --> No Conversion Required
Scale Factor for the Velocity: 10 --> No Conversion Required
Scale Factor for the Length: 10 --> No Conversion Required
Force on the Model: 28 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fp = αρ*αV^2*αL^2*Fm --> 15*10^2*10^2*28
Evaluating ... ...
Fp = 4200000
STEP 3: Convert Result to Output's Unit
4200000 --> No Conversion Required
FINAL ANSWER
4200000 <-- Force on the Prototype
(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

Relation between the Forces on the Prototype and Forces on Model Formula

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
Fp = αρ*αV^2*αL^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 Relation between the Forces on the Prototype and Forces on Model?

Relation between the Forces on the Prototype and Forces on Model calculator uses 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 to calculate the Force on the Prototype, The Relation between the Forces on the Prototype and Forces on Model is used to denote the ratio between the prototype, quantity and the model. Force on the Prototype and is denoted by Fp symbol.

How to calculate Relation between the Forces on the Prototype and Forces on Model using this online calculator? To use this online calculator for Relation between the Forces on the Prototype and Forces on Model, enter Scale Factor for the Density of Fluid (αρ), Scale Factor for the Velocity (αV), Scale Factor for the Length (αL) and Force on the Model (Fm) and hit the calculate button. Here is how the Relation between the Forces on the Prototype and Forces on Model calculation can be explained with given input values -> 4.200E+6 = 15*10^2*10^2*28.

FAQ

What is Relation between the Forces on the Prototype and Forces on Model?
The Relation between the Forces on the Prototype and Forces on Model is used to denote the ratio between the prototype, quantity and the model and is represented as Fp = αρ*αV^2*αL^2*Fm or 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 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, Scale Factor for the Length when the velocity of a body or a water particle is de…ned 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 Relation between the Forces on the Prototype and Forces on Model?
The Relation between the Forces on the Prototype and Forces on Model is used to denote the ratio between the prototype, quantity and the model is calculated using 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. To calculate Relation between the Forces on the Prototype and Forces on Model, you need Scale Factor for the Density of Fluid (αρ), Scale Factor for the Velocity (αV), Scale Factor for the Length (αL) and Force on the Model (Fm). With our tool, you need to enter the respective value for Scale Factor for the Density of Fluid, Scale Factor for the Velocity, Scale Factor for the Length 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 Force on the Prototype?
In this formula, Force on the Prototype uses Scale Factor for the Density of Fluid, Scale Factor for the Velocity, Scale Factor for the Length 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 Relation between the Forces on the Prototype and Forces on Model calculator used?
Among many, Relation between the Forces on the Prototype and Forces on Model calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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