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Time Rate of Change of Momentum of Mass Flux Formula

GoForce Exerted on Surface given Static Pressure Formula

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The Force is the interaction that causes an object to accelerate, often resulting from pressure differences in fluid mechanics, particularly in hypersonic and Newtonian flow contexts. Check FAQs

F = ρ F \cdot {u F}^{2} \cdot A \cdot {(\sin (θ))}^{2}

F - Force?ρ_F - Density of Fluid?u_F - Fluid Velocity?A - Area?θ - Angle of Inclination?

Time Rate of Change of Momentum of Mass Flux Example

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Here is how the Time Rate of Change of Momentum of Mass Flux equation looks like with Values.

Here is how the Time Rate of Change of Momentum of Mass Flux equation looks like with Units.

Here is how the Time Rate of Change of Momentum of Mass Flux equation looks like.

2.5947 = 1.1 \cdot 2^{2} \cdot 2.1 \cdot {(\sin (32))}^{2}

2.5947N = 1.1kg/m³ \cdot {2m/s}^{2} \cdot 2.1m² \cdot {(\sin (32°))}^{2}

2.5947 = 1.1 \cdot 2^{2} \cdot 2.1 \cdot {(\sin (32))}^{2}

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Fluid Mechanics » fx Time Rate of Change of Momentum of Mass Flux

Time Rate of Change of Momentum of Mass Flux Solution

Follow our step by step solution on how to calculate Time Rate of Change of Momentum of Mass Flux?

FIRST Step Consider the formula

F = ρ F \cdot {u F}^{2} \cdot A \cdot {(\sin (θ))}^{2}

Next Step Substitute values of Variables

∴

F = 1.1kg/m³ \cdot {2m/s}^{2} \cdot 2.1m² \cdot {(\sin (32°))}^{2}

Next Step Convert Units

∴

F = 1.1kg/m³ \cdot {2m/s}^{2} \cdot 2.1m² \cdot {(\sin (0.5585rad))}^{2}

Next Step Prepare to Evaluate

∴

F = 1.1 \cdot 2^{2} \cdot 2.1 \cdot {(\sin (0.5585))}^{2}

Next Step Evaluate

∴

F = 2.59472530183359N

LAST Step Rounding Answer

∴

F = 2.5947N

Time Rate of Change of Momentum of Mass Flux Formula Elements

Variables

Functions

Force

The Force is the interaction that causes an object to accelerate, often resulting from pressure differences in fluid mechanics, particularly in hypersonic and Newtonian flow contexts.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force

Density of Fluid

The Density of Fluid is the mass per unit volume of a fluid, influencing its behavior and flow characteristics in various mechanical and engineering applications.

Symbol: ρ_F

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Fluid Velocity

The Fluid Velocity is the speed at which a fluid moves in a given direction, influencing flow behavior and pressure in various engineering applications.

Symbol: u_F

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Area

The Area is the measure of the surface extent of a shape or object, often used to analyze flow characteristics in fluid mechanics.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Angle of Inclination

The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Force

Go Force Exerted on Surface given Static Pressure

F = A \cdot (p - p s)

Other formulas in Newtonian Flow category

Go Exact Normal Shock Wave Maximum Coefficient of Pressure

C p,max = \frac{2}{Y \cdot M^{2}} \cdot (\frac{P T}{P} - 1)

Go Pressure Coefficient for Slender 2D Bodies

C p = 2 \cdot (θ^{2} + k c \cdot y)

Go Pressure Coefficient for Slender Bodies of Revolution

C p = 2 \cdot {(θ)}^{2} + k c \cdot y

Go Modified Newtonian Law

C p = C p,max \cdot {(\sin (θ))}^{2}

How to Evaluate Time Rate of Change of Momentum of Mass Flux?

Time Rate of Change of Momentum of Mass Flux evaluator uses Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2 to evaluate the Force, Time Rate of Change of Momentum of Mass Flux formula is defined as a representation of the momentum change per unit time in a fluid flow, highlighting the relationship between fluid density, velocity, and cross-sectional area in hypersonic conditions. Force is denoted by F symbol.

How to evaluate Time Rate of Change of Momentum of Mass Flux using this online evaluator? To use this online evaluator for Time Rate of Change of Momentum of Mass Flux, enter Density of Fluid (ρ_F), Fluid Velocity (u_F), Area (A) & Angle of Inclination (θ) and hit the calculate button.

FAQs on Time Rate of Change of Momentum of Mass Flux

What is the formula to find Time Rate of Change of Momentum of Mass Flux?

The formula of Time Rate of Change of Momentum of Mass Flux is expressed as Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2. Here is an example- 22.40899 = 1.1*2^2*2.1*(sin(0.55850536063808))^2.

How to calculate Time Rate of Change of Momentum of Mass Flux?

With Density of Fluid (ρ_F), Fluid Velocity (u_F), Area (A) & Angle of Inclination (θ) we can find Time Rate of Change of Momentum of Mass Flux using the formula - Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Force?

Here are the different ways to Calculate Force-

Force=Area*(Surface Pressure-Static Pressure)

Can the Time Rate of Change of Momentum of Mass Flux be negative?

No, the Time Rate of Change of Momentum of Mass Flux, measured in Force cannot be negative.

Which unit is used to measure Time Rate of Change of Momentum of Mass Flux?

Time Rate of Change of Momentum of Mass Flux is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Time Rate of Change of Momentum of Mass Flux can be measured.

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Time Rate of Change of Momentum of Mass Flux Formula

​GoForce Exerted on Surface given Static Pressure Formula

Time Rate of Change of Momentum of Mass Flux Example

Time Rate of Change of Momentum of Mass Flux Solution

Time Rate of Change of Momentum of Mass Flux Formula Elements

Other Formulas to find Force

Other formulas in Newtonian Flow category

How to Evaluate Time Rate of Change of Momentum of Mass Flux?

FAQs on Time Rate of Change of Momentum of Mass Flux

Variable Name

GoForce Exerted on Surface given Static Pressure Formula