Force on Model for Scale Factor Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force on Model = Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2)
Fm = Fp/(αρ*αV^2*αL^2)
This formula uses 5 Variables
Variables Used
Force on Model - (Measured in Newton) - Force on Model used to denote the ratio between the prototype, quantity and the model.
Force on Prototype - (Measured in Newton) - Force on Prototype used to denote the ratio between the prototype, quantity and the model.
Scale Factor for Density of Fluid - Scale Factor for Density of Fluid is the velocity of a body, or a water particle is defined as a displacement per unit of time.
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 Length - Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.
STEP 1: Convert Input(s) to Base Unit
Force on Prototype: 69990.85 Newton --> 69990.85 Newton No Conversion Required
Scale Factor for Density of Fluid: 0.9999 --> No Conversion Required
Scale Factor for Velocity: 4.242 --> No Conversion Required
Scale Factor for Length: 18 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fm = Fp/(αρ*αV^2*αL^2) --> 69990.85/(0.9999*4.242^2*18^2)
Evaluating ... ...
Fm = 12.0060006038453
STEP 3: Convert Result to Output's Unit
12.0060006038453 Newton --> No Conversion Required
FINAL ANSWER
12.0060006038453 12.006 Newton <-- Force on Model
(Calculation completed in 00.004 seconds)

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18 Relation between Forces on the Prototype and Forces on the Model Calculators

Scale Factor for Velocity given Forces on Prototype and Force on Model
Go Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model))
Scale Factor for Length given Forces on Prototype and Force on Model
Go Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model))
Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model
Go Velocity of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Characteristic length)
Density of Fluid for Ratio of Inertial Forces and Viscous Forces
Go Density of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Velocity of Fluid*Characteristic length)
Length for Ratio of Inertial Forces and Viscous Forces
Go Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid)
Viscous Forces using Newton's Friction model
Go Viscous Force = (Inertia Forces*Dynamic Viscosity)/(Density of Fluid*Velocity of Fluid*Characteristic length)
Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force
Go Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces
Inertial Forces using Newton's Friction Model
Go Inertia Forces = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Dynamic Viscosity
Relation between Forces on Prototype and Forces on Model
Go Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model
Scale Factor for Density of Fluid given Forces on Prototype and Model
Go Scale Factor for Density of Fluid = Force on Prototype/(Scale Factor for Velocity^2*Scale Factor for Length^2*Force on Model)
Force on Model for Scale Factor Parameters
Go Force on Model = Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2)
Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces
Go Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length)
Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces
Go Characteristic length = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Velocity of Fluid)
Kinematic Viscosity for Ratio of Inertial Forces and Viscous Force
Go Kinematic Viscosity for Model Analysis = (Viscous Force*Velocity of Fluid*Characteristic length)/Inertia Forces
Inertial Forces given Kinematic Viscosity
Go Inertia Forces = (Viscous Force*Velocity of Fluid*Characteristic length)/Kinematic Viscosity for Model Analysis
Scale Factor for Inertia Forces given Force on Prototype
Go Scale Factor for Inertia Forces = Force on Prototype/Force on Model
Force on Model given Force on Prototype
Go Force on Model = Force on Prototype/Scale Factor for Inertia Forces
Force on Prototype
Go Force on Prototype = Scale Factor for Inertia Forces*Force on Model

Force on Model for Scale Factor Parameters Formula

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

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 Force on Model for Scale Factor Parameters?

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

How to calculate Force on Model for Scale Factor Parameters using this online calculator? To use this online calculator for Force on Model for Scale Factor Parameters, enter Force on Prototype (Fp), Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV) & Scale Factor for Length (αL) and hit the calculate button. Here is how the Force on Model for Scale Factor Parameters calculation can be explained with given input values -> 12.006 = 69990.85/(0.9999*4.242^2*18^2).

FAQ

What is Force on Model for Scale Factor Parameters?
The Force on Model for Scale Factor Parameters formula is used to denote ratio between prototype, quantity and model and is represented as Fm = Fp/(αρ*αV^2*αL^2) or Force on Model = Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2). Force on Prototype used to denote the ratio between the prototype, quantity and the model, Scale Factor for Density of Fluid is the velocity of a body, or a water particle is defined as a displacement per unit of time, 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 Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.
How to calculate Force on Model for Scale Factor Parameters?
The Force on Model for Scale Factor Parameters formula is used to denote ratio between prototype, quantity and model is calculated using Force on Model = Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2). To calculate Force on Model for Scale Factor Parameters, you need Force on Prototype (Fp), Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV) & Scale Factor for Length (αL). With our tool, you need to enter the respective value for Force on Prototype, Scale Factor for Density of Fluid, Scale Factor for Velocity & Scale Factor for Length 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 Model?
In this formula, Force on Model uses Force on Prototype, Scale Factor for Density of Fluid, Scale Factor for Velocity & Scale Factor for Length. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force on Model = Force on Prototype/Scale Factor for Inertia Forces
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