Scale Factor for Length given Forces on Prototype and Force on Model 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 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%
✖Force on Model used to denote the ratio between the prototype, quantity and the model.ⓘ Force on Model [F_m]			+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 given Forces on Prototype and Force on Model [αL]

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

STEP 0: Pre-Calculation Summary

Formula Used

Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model))
αL = sqrt(F_p/(αρ*αV^2*F_m))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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 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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

αL = sqrt(F_p/(αρ*αV^2*F_m)) --> sqrt(69990.85/(0.9999*4.242^2*12))

Evaluating ... ...

αL = 18.0044998904114

STEP 3: Convert Result to Output's Unit

18.0044998904114 --> No Conversion Required

FINAL ANSWER

18.0044998904114 ≈ 18.0045 <-- Scale Factor for Length

(Calculation completed in 00.004 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

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

LaTeX Go

Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model))
αL = sqrt(F_p/(αρ*αV^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 Scale Factor for Length given Forces on Prototype and Force on Model?

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

How to calculate Scale Factor for Length given Forces on Prototype and Force on Model using this online calculator? To use this online calculator for Scale Factor for Length given Forces on Prototype and Force on Model, enter Force on Prototype (F_p), Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV) & Force on Model (F_m) and hit the calculate button. Here is how the Scale Factor for Length given Forces on Prototype and Force on Model calculation can be explained with given input values -> 18.0045 = sqrt(69990.85/(0.9999*4.242^2*12)).

FAQ

What is Scale Factor for Length given Forces on Prototype and Force on Model?

Scale Factor for Length given Forces on Prototype and Force on Model is used to denote ratio between prototype, quantity and model and is represented as αL = sqrt(F_p/(αρ*αV^2*F_m)) or Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model)). 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 & Force on Model used to denote the ratio between the prototype, quantity and the model.

How to calculate Scale Factor for Length given Forces on Prototype and Force on Model?

Scale Factor for Length given Forces on Prototype and Force on Model is used to denote ratio between prototype, quantity and model is calculated using Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model)). To calculate Scale Factor for Length given Forces on Prototype and Force on Model, you need Force on Prototype (F_p), Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV) & Force on Model (F_m). With our tool, you need to enter the respective value for Force on Prototype, Scale Factor for Density of Fluid, Scale Factor for Velocity & Force on Model and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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