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Force Acting in y-Direction in Momentum Equation Formula

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Force in Y Direction is defined as the force that is acting in y direction. A force has both magnitude and direction, making it a vector quantity. Check FAQs

F y = ρ l \cdot Q \cdot (- V 2 \cdot \sin (θ) - P 2 \cdot A 2 \cdot \sin (θ))

F_y - Force in Y Direction?ρ_l - Density of Liquid?Q - Discharge?V₂ - Velocity at Section 2-2?θ - Theta?P₂ - Pressure at Section 2?A₂ - Cross Sectional Area at Point 2?

Force Acting in y-Direction in Momentum Equation Example

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With units

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Here is how the Force Acting in y-Direction in Momentum Equation equation looks like with Values.

Here is how the Force Acting in y-Direction in Momentum Equation equation looks like with Units.

Here is how the Force Acting in y-Direction in Momentum Equation equation looks like.

-1623.6 = 4 \cdot 1.1 \cdot (- 12 \cdot \sin (30) - 121 \cdot 6 \cdot \sin (30))

-1623.6N = 4kg/m³ \cdot 1.1m³/s \cdot (- 12m/s \cdot \sin (30°) - 121Pa \cdot 6m² \cdot \sin (30°))

-1623.6 = 4 \cdot 1.1 \cdot (- 12 \cdot \sin (30) - 121 \cdot 6 \cdot \sin (30))

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Fluid Mechanics » fx Force Acting in y-Direction in Momentum Equation

Force Acting in y-Direction in Momentum Equation Solution

Follow our step by step solution on how to calculate Force Acting in y-Direction in Momentum Equation?

FIRST Step Consider the formula

F y = ρ l \cdot Q \cdot (- V 2 \cdot \sin (θ) - P 2 \cdot A 2 \cdot \sin (θ))

Next Step Substitute values of Variables

∴

F y = 4kg/m³ \cdot 1.1m³/s \cdot (- 12m/s \cdot \sin (30°) - 121Pa \cdot 6m² \cdot \sin (30°))

Next Step Convert Units

∴

F y = 4kg/m³ \cdot 1.1m³/s \cdot (- 12m/s \cdot \sin (0.5236rad) - 121Pa \cdot 6m² \cdot \sin (0.5236rad))

Next Step Prepare to Evaluate

∴

F y = 4 \cdot 1.1 \cdot (- 12 \cdot \sin (0.5236) - 121 \cdot 6 \cdot \sin (0.5236))

LAST Step Evaluate

∴

F y = -1623.6N

Force Acting in y-Direction in Momentum Equation Formula Elements

Variables

Functions

Force in Y Direction

Force in Y Direction is defined as the force that is acting in y direction. A force has both magnitude and direction, making it a vector quantity.

Symbol: F_y

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force in Y Direction

Open Variable

Density of Liquid

Density of Liquid is mass of a unit volume of a material substance.

Symbol: ρ_l

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Open Variable

Discharge

Discharge is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Open Variable

Velocity at Section 2-2

Velocity at Section 2-2 is the flow velocity of the liquid flowing in a pipe at a particular section after the sudden enlargement of the pipe size.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity at Section 2-2

Open Variable

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Theta

Open Variable

Pressure at Section 2

Pressure at Section 2 is defined as the physical force exerted on an object.

Symbol: P₂

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure at Section 2

Open Variable

Cross Sectional Area at Point 2

Cross Sectional area at point 2 is the area of cross section at a point 2.

Symbol: A₂

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area at Point 2

Open Variable

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 in Hydrostatic Fluid category

Go Force Acting in x Direction in Momentum Equation

F x = ρ l \cdot Q \cdot (V 1 - V 2 \cdot \cos (θ)) + P 1 \cdot A 1 - (P 2 \cdot A 2 \cdot \cos (θ))

Go Fluid Dynamic or Shear Viscosity Formula

μ = \frac{F a \cdot r}{A \cdot P s}

See More

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How to Evaluate Force Acting in y-Direction in Momentum Equation?

Force Acting in y-Direction in Momentum Equation evaluator uses Force in Y Direction = Density of Liquid*Discharge*(-Velocity at Section 2-2*sin(Theta)-Pressure at Section 2*Cross Sectional Area at Point 2*sin(Theta)) to evaluate the Force in Y Direction, Force Acting in y-Direction in Momentum Equation formula is defined as the vertical component of the force exerted on a fluid in a hydrostatic system, which plays a crucial role in understanding the behavior of fluids under various pressure and velocity conditions. Force in Y Direction is denoted by F_y symbol.

How to evaluate Force Acting in y-Direction in Momentum Equation using this online evaluator? To use this online evaluator for Force Acting in y-Direction in Momentum Equation, enter Density of Liquid (ρ_l), Discharge (Q), Velocity at Section 2-2 (V₂), Theta (θ), Pressure at Section 2 (P₂) & Cross Sectional Area at Point 2 (A₂) and hit the calculate button.

FAQs on Force Acting in y-Direction in Momentum Equation

What is the formula to find Force Acting in y-Direction in Momentum Equation?

The formula of Force Acting in y-Direction in Momentum Equation is expressed as Force in Y Direction = Density of Liquid*Discharge*(-Velocity at Section 2-2*sin(Theta)-Pressure at Section 2*Cross Sectional Area at Point 2*sin(Theta)). Here is an example- -1623.6 = 4*1.1*(-12*sin(0.5235987755982)-121*6*sin(0.5235987755982)).

How to calculate Force Acting in y-Direction in Momentum Equation?

With Density of Liquid (ρ_l), Discharge (Q), Velocity at Section 2-2 (V₂), Theta (θ), Pressure at Section 2 (P₂) & Cross Sectional Area at Point 2 (A₂) we can find Force Acting in y-Direction in Momentum Equation using the formula - Force in Y Direction = Density of Liquid*Discharge*(-Velocity at Section 2-2*sin(Theta)-Pressure at Section 2*Cross Sectional Area at Point 2*sin(Theta)). This formula also uses Sine (sin) function(s).

Can the Force Acting in y-Direction in Momentum Equation be negative?

Yes, the Force Acting in y-Direction in Momentum Equation, measured in Force can be negative.

Which unit is used to measure Force Acting in y-Direction in Momentum Equation?

Force Acting in y-Direction in Momentum Equation is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force Acting in y-Direction in Momentum Equation can be measured.

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