Force on Model given Force on Prototype Calculator

✖Force on Prototype used to denote the ratio between the prototype, quantity and the model.ⓘ Force on Prototype [F_p]			+10% -10%
✖Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.ⓘ Scale Factor for Inertia Forces [αF]			+10% -10%

✖Force on Model used to denote the ratio between the prototype, quantity and the model.ⓘ Force on Model given Force on Prototype [F_m]

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Formula

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Force on Model given Force on Prototype

Formula

`"F"_{"m"} = "F"_{"p"}/"αF"`

Example

`"12N"="69990.85N"/"5832.571"`

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Download Relation between Forces on the Prototype and Forces on the Model Formulas PDF

Force on Model given Force on Prototype Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force on Model = Force on Prototype/Scale Factor for Inertia Forces
F_m = F_p/αF
This formula uses 3 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 Inertia Forces - Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.

STEP 1: Convert Input(s) to Base Unit

Force on Prototype: 69990.85 Newton --> 69990.85 Newton No Conversion Required
Scale Factor for Inertia Forces: 5832.571 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_m = F_p/αF --> 69990.85/5832.571

Evaluating ... ...

F_m = 11.999999657098

STEP 3: Convert Result to Output's Unit

11.999999657098 Newton --> No Conversion Required

FINAL ANSWER

11.999999657098 ≈ 12 Newton <-- Force on Model

(Calculation completed in 00.020 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 given Force on Prototype Formula

Force on Model = Force on Prototype/Scale Factor for Inertia Forces
F_m = F_p/αF

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 given Force on Prototype?

Force on Model given Force on Prototype calculator uses Force on Model = Force on Prototype/Scale Factor for Inertia Forces to calculate the Force on Model, The Force on Model given Force on Prototype formula is used to denote ratio between prototype, quantity and model. Force on Model is denoted by F_m symbol.

How to calculate Force on Model given Force on Prototype using this online calculator? To use this online calculator for Force on Model given Force on Prototype, enter Force on Prototype (F_p) & Scale Factor for Inertia Forces (αF) and hit the calculate button. Here is how the Force on Model given Force on Prototype calculation can be explained with given input values -> 12 = 69990.85/5832.571.

FAQ

What is Force on Model given Force on Prototype?

The Force on Model given Force on Prototype formula is used to denote ratio between prototype, quantity and model and is represented as F_m = F_p/αF or Force on Model = Force on Prototype/Scale Factor for Inertia Forces. Force on Prototype used to denote the ratio between the prototype, quantity and the model & Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.

How to calculate Force on Model given Force on Prototype?

The Force on Model given Force on Prototype formula is used to denote ratio between prototype, quantity and model is calculated using Force on Model = Force on Prototype/Scale Factor for Inertia Forces. To calculate Force on Model given Force on Prototype, you need Force on Prototype (F_p) & Scale Factor for Inertia Forces (αF). With our tool, you need to enter the respective value for Force on Prototype & Scale Factor for Inertia Forces 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 Inertia Forces. 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 Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2)

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