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

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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. Check FAQs

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

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

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

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Here is how the Scale Factor for Density of Fluid given Forces on Prototype and Model equation looks like with Values.

Here is how the Scale Factor for Density of Fluid given Forces on Prototype and Model equation looks like with Units.

Here is how the Scale Factor for Density of Fluid given Forces on Prototype and Model equation looks like.

1.0004 = \frac{69990.85}{{4.242}^{2} \cdot 18^{2} \cdot 12}

1.0004 = \frac{69990.85N}{{4.242}^{2} \cdot 18^{2} \cdot 12N}

1.0004 = \frac{69990.85}{{4.242}^{2} \cdot 18^{2} \cdot 12}

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

Follow our step by step solution on how to calculate Scale Factor for Density of Fluid given Forces on Prototype and Model?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

αρ = \frac{69990.85N}{{4.242}^{2} \cdot 18^{2} \cdot 12N}

Next Step Prepare to Evaluate

∴

αρ = \frac{69990.85}{{4.242}^{2} \cdot 18^{2} \cdot 12}

Next Step Evaluate

∴

αρ = 1.00040000031541

LAST Step Rounding Answer

∴

αρ = 1.0004

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

Variables

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

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 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 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 Force on Model given Force on Prototype

F m = \frac{F p}{αF}

Go Relation between Forces on Prototype and Forces on Model

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

How to Evaluate Scale Factor for Density of Fluid given Forces on Prototype and Model?

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

How to evaluate Scale Factor for Density of Fluid given Forces on Prototype and Model using this online evaluator? To use this online evaluator for Scale Factor for Density of Fluid given Forces on Prototype and Model, enter Force on Prototype (F_p), Scale Factor for Velocity (αV), Scale Factor for Length (αL) & Force on Model (F_m) and hit the calculate button.

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

What is the formula to find Scale Factor for Density of Fluid given Forces on Prototype and Model?

The formula of Scale Factor for Density of Fluid given Forces on Prototype and Model is expressed as Scale Factor for Density of Fluid = Force on Prototype/(Scale Factor for Velocity^2*Scale Factor for Length^2*Force on Model). Here is an example- 1.0004 = 69990.85/(4.242^2*18^2*12).

How to calculate Scale Factor for Density of Fluid given Forces on Prototype and Model?

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

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

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

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

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

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

How to Evaluate Scale Factor for Density of Fluid given Forces on Prototype and Model?

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

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