Relation between Forces on Prototype and Forces on Model Calculator

✖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 Density of Fluid [αρ]			+10% -10%
✖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 Velocity [αV]			+10% -10%
✖Scale Factor for Length refers to the ratio by which dimensions are enlarged or reduced in proportion to an original size.ⓘ Scale Factor for Length [αL]			+10% -10%
✖Force on Model used to denote the ratio between the prototype, quantity and the model.ⓘ Force on Model [F_m]			+10% -10%

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

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Relation between Forces on Prototype and Forces on Model Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model
F_p = αρ*(αV^2)*(αL^2)*F_m
This formula uses 5 Variables

Variables Used

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.
Force on Model - (Measured in Newton) - Force on Model used to denote the ratio between the prototype, quantity and the model.

STEP 1: Convert Input(s) to Base Unit

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
Force on Model: 12 Newton --> 12 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_p = αρ*(αV^2)*(αL^2)*F_m --> 0.9999*(4.242^2)*(18^2)*12

Evaluating ... ...

F_p = 69955.8685455168

STEP 3: Convert Result to Output's Unit

69955.8685455168 Newton --> No Conversion Required

FINAL ANSWER

69955.8685455168 ≈ 69955.87 Newton <-- Force on Prototype

(Calculation completed in 00.020 seconds)

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

Relation between Forces on Prototype and Forces on Model

LaTeX 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 Inertia Forces given Force on Prototype

LaTeX Go Scale Factor for Inertia Forces = Force on Prototype/Force on Model

Force on Model given Force on Prototype

LaTeX Go Force on Model = Force on Prototype/Scale Factor for Inertia Forces

Force on Prototype

LaTeX Go Force on Prototype = Scale Factor for Inertia Forces*Force on Model

Relation between Forces on Prototype and Forces on Model Formula

LaTeX Go

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

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 Forces on Prototype and Forces on Model?

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

How to calculate Relation between Forces on Prototype and Forces on Model using this online calculator? To use this online calculator for Relation between Forces on Prototype and Forces on Model, enter Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV), Scale Factor for Length (αL) & Force on Model (F_m) and hit the calculate button. Here is how the Relation between Forces on Prototype and Forces on Model calculation can be explained with given input values -> 69955.87 = 0.9999*(4.242^2)*(18^2)*12.

FAQ

What is Relation between Forces on Prototype and Forces on Model?

The Relation between Forces on Prototype and Forces on Model is used to denote ratio between prototype, quantity and model and is represented as F_p = αρ*(αV^2)*(αL^2)*F_m or 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 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 & Force on Model used to denote the ratio between the prototype, quantity and the model.

How to calculate Relation between Forces on Prototype and Forces on Model?

The Relation between Forces on Prototype and Forces on Model is used to denote ratio between prototype, quantity and model is calculated using Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model. To calculate Relation between Forces on Prototype and Forces on Model, you need Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV), Scale Factor for Length (αL) & Force on Model (F_m). With our tool, you need to enter the respective value for Scale Factor for Density of Fluid, Scale Factor for Velocity, Scale Factor for Length & Force on 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 Prototype?

In this formula, Force on Prototype uses Scale Factor for Density of Fluid, Scale Factor for Velocity, Scale Factor for Length & Force on Model. We can use 1 other way(s) to calculate the same, which is/are as follows -

Force on Prototype = Scale Factor for Inertia Forces*Force on Model

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