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Moment of Momentum Equation Formula

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Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ. Check FAQs

T = ρ 1 \cdot Q \cdot (v 1 \cdot R 1 - v 2 \cdot R 2)

T - Torque Exerted on Wheel?ρ₁ - Density of Liquid?Q - Discharge?v₁ - Velocity at Section 1-1?R₁ - Radius of Curvature at Section 1?v₂ - Velocity at Section 2-2?R₂ - Radius of Curvature at Section 2?

Moment of Momentum Equation Example

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Here is how the Moment of Momentum Equation equation looks like with Values.

Here is how the Moment of Momentum Equation equation looks like with Units.

Here is how the Moment of Momentum Equation equation looks like.

504.2688 = 4 \cdot 1.072 \cdot (20 \cdot 8.1 - 12 \cdot 3.7)

504.2688N*m = 4kg/m³ \cdot 1.072m³/s \cdot (20m/s \cdot 8.1m - 12m/s \cdot 3.7m)

504.2688 = 4 \cdot 1.072 \cdot (20 \cdot 8.1 - 12 \cdot 3.7)

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Moment of Momentum Equation Solution

Follow our step by step solution on how to calculate Moment of Momentum Equation?

FIRST Step Consider the formula

T = ρ 1 \cdot Q \cdot (v 1 \cdot R 1 - v 2 \cdot R 2)

Next Step Substitute values of Variables

∴

T = 4kg/m³ \cdot 1.072m³/s \cdot (20m/s \cdot 8.1m - 12m/s \cdot 3.7m)

Next Step Prepare to Evaluate

∴

T = 4 \cdot 1.072 \cdot (20 \cdot 8.1 - 12 \cdot 3.7)

LAST Step Evaluate

∴

T = 504.2688N*m

Moment of Momentum Equation Formula Elements

Variables

Torque Exerted on Wheel

Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque Exerted on Wheel

Density of Liquid

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

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

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

Velocity at Section 1-1

The Velocity at section 1-1 is the flow velocity of a liquid flowing at a particular section in the pipe before the sudden enlargement.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at Section 1-1

Radius of Curvature at Section 1

Radius of Curvature at Section 1 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 1 to describe the curvature at any point on surface 1.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curvature at Section 1

Velocity at Section 2-2

The 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 can be positive or negative.

Formulas to find Velocity at Section 2-2

Radius of Curvature at Section 2

Radius of Curvature at Section 2 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 2 to describe the curvature at any point on surface 2.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature at Section 2

Other formulas in Hydrodynamics Basics category

Go Metacentric Height given Time Period of Rolling

H m = \frac{{(K g \cdot π)}^{2}}{{(\frac{T r}{2})}^{2} \cdot [g]}

Go Poiseuille's Formula

Q v = Δp \cdot \frac{π}{8} \cdot \frac{{r p}^{4}}{μ v \cdot L}

How to Evaluate Moment of Momentum Equation?

Moment of Momentum Equation evaluator uses Torque Exerted on Wheel = Density of Liquid*Discharge*(Velocity at Section 1-1*Radius of Curvature at Section 1-Velocity at Section 2-2*Radius of Curvature at Section 2) to evaluate the Torque Exerted on Wheel, The Moment of momentum equation formula is defined as the resulting torque acting on a rotating fluid is equal to the rate of change of moment of momentum. Torque Exerted on Wheel is denoted by T symbol.

How to evaluate Moment of Momentum Equation using this online evaluator? To use this online evaluator for Moment of Momentum Equation, enter Density of Liquid (ρ₁), Discharge (Q), Velocity at Section 1-1 (v₁), Radius of Curvature at Section 1 (R₁), Velocity at Section 2-2 (v₂) & Radius of Curvature at Section 2 (R₂) and hit the calculate button.

FAQs on Moment of Momentum Equation

What is the formula to find Moment of Momentum Equation?

The formula of Moment of Momentum Equation is expressed as Torque Exerted on Wheel = Density of Liquid*Discharge*(Velocity at Section 1-1*Radius of Curvature at Section 1-Velocity at Section 2-2*Radius of Curvature at Section 2). Here is an example- 504.2688 = 4*1.072*(20*8.1-12*3.7).

How to calculate Moment of Momentum Equation?

With Density of Liquid (ρ₁), Discharge (Q), Velocity at Section 1-1 (v₁), Radius of Curvature at Section 1 (R₁), Velocity at Section 2-2 (v₂) & Radius of Curvature at Section 2 (R₂) we can find Moment of Momentum Equation using the formula - Torque Exerted on Wheel = Density of Liquid*Discharge*(Velocity at Section 1-1*Radius of Curvature at Section 1-Velocity at Section 2-2*Radius of Curvature at Section 2).

Can the Moment of Momentum Equation be negative?

Yes, the Moment of Momentum Equation, measured in Torque can be negative.

Which unit is used to measure Moment of Momentum Equation?

Moment of Momentum Equation is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Moment of Momentum Equation can be measured.

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Moment of Momentum Equation Formula

Moment of Momentum Equation Example

Moment of Momentum Equation Solution

Moment of Momentum Equation Formula Elements

Other formulas in Hydrodynamics Basics category

How to Evaluate Moment of Momentum Equation?

FAQs on Moment of Momentum Equation

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