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Force on Model given Force on Prototype Formula

GoForce on Model for Scale Factor Parameters Formula

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

F m = \frac{F p}{αF}

F_m - Force on Model?F_p - Force on Prototype?αF - Scale Factor for Inertia Forces?

Force on Model given Force on Prototype Example

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Here is how the Force on Model given Force on Prototype equation looks like with Values.

Here is how the Force on Model given Force on Prototype equation looks like with Units.

Here is how the Force on Model given Force on Prototype equation looks like.

12 = \frac{69990.85}{5832.571}

12N = \frac{69990.85N}{5832.571}

12 = \frac{69990.85}{5832.571}

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Force on Model given Force on Prototype Solution

Follow our step by step solution on how to calculate Force on Model given Force on Prototype?

FIRST Step Consider the formula

F m = \frac{F p}{αF}

Next Step Substitute values of Variables

∴

F m = \frac{69990.85N}{5832.571}

Next Step Prepare to Evaluate

∴

F m = \frac{69990.85}{5832.571}

Next Step Evaluate

∴

F m = 11.999999657098N

LAST Step Rounding Answer

∴

F m = 12N

Force on Model given Force on Prototype Formula Elements

Variables

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

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 Inertia Forces

Scale Factor for Inertia Forces is the ratio of inertial force in model to inertial force in prototype in dynamic similarity studies.

Symbol: αF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Scale Factor for Inertia Forces

Other Formulas to find Force on Model

Go Force on Model for Scale Factor Parameters

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

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

Go Force on Prototype

F p = αF \cdot F m

Go Scale Factor for Inertia Forces given Force on Prototype

αF = \frac{F p}{F m}

Go Relation between Forces on Prototype and Forces on Model

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

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}

How to Evaluate Force on Model given Force on Prototype?

Force on Model given Force on Prototype evaluator uses Force on Model = Force on Prototype/Scale Factor for Inertia Forces to evaluate 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 evaluate Force on Model given Force on Prototype using this online evaluator? To use this online evaluator 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.

FAQs on Force on Model given Force on Prototype

What is the formula to find Force on Model given Force on Prototype?

The formula of Force on Model given Force on Prototype is expressed as Force on Model = Force on Prototype/Scale Factor for Inertia Forces. Here is an example- 12 = 69990.85/5832.571.

How to calculate Force on Model given Force on Prototype?

With Force on Prototype (F_p) & Scale Factor for Inertia Forces (αF) we can find Force on Model given Force on Prototype using the formula - Force on Model = Force on Prototype/Scale Factor for Inertia Forces.

What are the other ways to Calculate Force on Model?

Here are the different ways to Calculate Force on Model-

Force on Model=Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2)

Can the Force on Model given Force on Prototype be negative?

Yes, the Force on Model given Force on Prototype, measured in Force can be negative.

Which unit is used to measure Force on Model given Force on Prototype?

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

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