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Relation between Forces on Prototype and Forces on Model Formula

GoForce on Prototype Formula

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Force on Prototype used to denote the ratio between the prototype, quantity and the model. Check FAQs

F p = αρ \cdot ({αV}^{2}) \cdot ({αL}^{2}) \cdot F m

F_p - Force on Prototype?αρ - Scale Factor for Density of Fluid?αV - Scale Factor for Velocity?αL - Scale Factor for Length?F_m - Force on Model?

Relation between Forces on Prototype and Forces on Model Example

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Here is how the Relation between Forces on Prototype and Forces on Model equation looks like with Values.

Here is how the Relation between Forces on Prototype and Forces on Model equation looks like with Units.

Here is how the Relation between Forces on Prototype and Forces on Model equation looks like.

69955.8685 = 0.9999 \cdot ({4.242}^{2}) \cdot (18^{2}) \cdot 12

69955.8685N = 0.9999 \cdot ({4.242}^{2}) \cdot (18^{2}) \cdot 12N

69955.8685 = 0.9999 \cdot ({4.242}^{2}) \cdot (18^{2}) \cdot 12

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Relation between Forces on Prototype and Forces on Model Solution

Follow our step by step solution on how to calculate Relation between Forces on Prototype and Forces on Model?

FIRST Step Consider the formula

F p = αρ \cdot ({αV}^{2}) \cdot ({αL}^{2}) \cdot F m

Next Step Substitute values of Variables

∴

F p = 0.9999 \cdot ({4.242}^{2}) \cdot (18^{2}) \cdot 12N

Next Step Prepare to Evaluate

∴

F p = 0.9999 \cdot ({4.242}^{2}) \cdot (18^{2}) \cdot 12

Next Step Evaluate

∴

F p = 69955.8685455168N

LAST Step Rounding Answer

∴

F p = 69955.8685N

Relation between Forces on Prototype and Forces on Model Formula Elements

Variables

Force on Prototype

Force on Prototype used to denote the ratio between the prototype, quantity and the model.

Symbol: F_p

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force on Prototype

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.

Symbol: αρ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Density of Fluid

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.

Symbol: αV

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Scale Factor for Velocity

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.

Symbol: αL

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Length

Force on Model

Force on Model used to denote the ratio between the prototype, quantity and the model.

Symbol: F_m

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force on Model

Other Formulas to find Force on Prototype

Go Force on Prototype

F p = αF \cdot F m

Other formulas in Relation between Forces on the Prototype and Forces on the Model category

Go Scale Factor for Inertia Forces given Force on Prototype

αF = \frac{F p}{F m}

Go Force on Model given Force on Prototype

F m = \frac{F p}{αF}

Go Scale Factor for Density of Fluid given Forces on Prototype and Model

αρ = \frac{F p}{{αV}^{2} \cdot {αL}^{2} \cdot F m}

Go Scale Factor for Velocity given Forces on Prototype and Force on Model

αV = \sqrt{\frac{F p}{αρ \cdot {αL}^{2} \cdot F m}}

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

Relation between Forces on Prototype and Forces on Model evaluator uses Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model to evaluate 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 evaluate Relation between Forces on Prototype and Forces on Model using this online evaluator? To use this online evaluator 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.

FAQs on Relation between Forces on Prototype and Forces on Model

What is the formula to find Relation between Forces on Prototype and Forces on Model?

The formula of Relation between Forces on Prototype and Forces on Model is expressed as Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model. Here is an example- 69955.87 = 0.9999*(4.242^2)*(18^2)*12.

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

With Scale Factor for Density of Fluid (αρ), Scale Factor for Velocity (αV), Scale Factor for Length (αL) & Force on Model (F_m) we can find Relation between Forces on Prototype and Forces on Model using the formula - Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model.

What are the other ways to Calculate Force on Prototype?

Here are the different ways to Calculate Force on Prototype-

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

Can the Relation between Forces on Prototype and Forces on Model be negative?

Yes, the Relation between Forces on Prototype and Forces on Model, measured in Force can be negative.

Which unit is used to measure Relation between Forces on Prototype and Forces on Model?

Relation between Forces on Prototype and Forces on Model is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Relation between Forces on Prototype and Forces on Model can be measured.

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Relation between Forces on Prototype and Forces on Model Formula

​GoForce on Prototype Formula

Relation between Forces on Prototype and Forces on Model Example

Relation between Forces on Prototype and Forces on Model Solution

Relation between Forces on Prototype and Forces on Model Formula Elements

Other Formulas to find Force on Prototype

Other formulas in Relation between Forces on the Prototype and Forces on the Model category

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

FAQs on Relation between Forces on Prototype and Forces on Model

Variable Name

GoForce on Prototype Formula