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Force Acting in x Direction in Momentum Equation Formula

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Force in X Direction is defines as push or pull exerted on an object that causes a change in motion, it has both magnitude and direction and may be contact or a field of force. Check FAQs

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))

F_x - Force in X Direction?ρ_l - Density of Liquid?Q - Discharge?V₁ - Velocity at Section 1-1?V₂ - Velocity at Section 2-2?θ - Theta?P₁ - Pressure at Section 1?A₁ - Cross Sectional Area at Point 1?P₂ - Pressure at Section 2?A₂ - Cross Sectional Area at Point 2?

Force Acting in x Direction in Momentum Equation Example

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

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

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

1121.5394 = 4 \cdot 1.1 \cdot (20 - 12 \cdot \cos (30)) + 122 \cdot 14 - (121 \cdot 6 \cdot \cos (30))

1121.5394N = 4kg/m³ \cdot 1.1m³/s \cdot (20m/s - 12m/s \cdot \cos (30°)) + 122Pa \cdot 14m² - (121Pa \cdot 6m² \cdot \cos (30°))

1121.5394 = 4 \cdot 1.1 \cdot (20 - 12 \cdot \cos (30)) + 122 \cdot 14 - (121 \cdot 6 \cdot \cos (30))

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Force Acting in x Direction in Momentum Equation Solution

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

FIRST Step Consider the formula

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))

Next Step Substitute values of Variables

∴

F x = 4kg/m³ \cdot 1.1m³/s \cdot (20m/s - 12m/s \cdot \cos (30°)) + 122Pa \cdot 14m² - (121Pa \cdot 6m² \cdot \cos (30°))

Next Step Convert Units

∴

F x = 4kg/m³ \cdot 1.1m³/s \cdot (20m/s - 12m/s \cdot \cos (0.5236rad)) + 122Pa \cdot 14m² - (121Pa \cdot 6m² \cdot \cos (0.5236rad))

Next Step Prepare to Evaluate

∴

F x = 4 \cdot 1.1 \cdot (20 - 12 \cdot \cos (0.5236)) + 122 \cdot 14 - (121 \cdot 6 \cdot \cos (0.5236))

Next Step Evaluate

∴

F x = 1121.53941553268N

LAST Step Rounding Answer

∴

F x = 1121.5394N

Force Acting in x Direction in Momentum Equation Formula Elements

Variables

Functions

Force in X Direction

Force in X Direction is defines as push or pull exerted on an object that causes a change in motion, it has both magnitude and direction and may be contact or a field of force.

Symbol: F_x

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force in X Direction

Density of Liquid

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

Symbol: ρ_l

Measurement: DensityUnit: kg/m³