Moment of Momentum Equation Calculator

✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ₁]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖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.ⓘ Velocity at Section 1-1 [v₁]			+10% -10%
✖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.ⓘ Radius of Curvature at Section 1 [R₁]			+10% -10%
✖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.ⓘ Velocity at Section 2-2 [v₂]			+10% -10%
✖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.ⓘ Radius of Curvature at Section 2 [R₂]			+10% -10%

✖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.ⓘ Moment of Momentum Equation [T]

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Moment of Momentum Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T = ρ₁*Q*(v₁*R₁-v₂*R₂)
This formula uses 7 Variables

Variables Used

Torque Exerted on Wheel - (Measured in Newton Meter) - 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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Velocity at Section 1-1 - (Measured in Meter per Second) - 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.
Radius of Curvature at Section 1 - (Measured in Meter) - 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.
Velocity at Section 2-2 - (Measured in Meter per Second) - 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.
Radius of Curvature at Section 2 - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Discharge: 1.072 Cubic Meter per Second --> 1.072 Cubic Meter per Second No Conversion Required
Velocity at Section 1-1: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Radius of Curvature at Section 1: 8.1 Meter --> 8.1 Meter No Conversion Required
Velocity at Section 2-2: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Radius of Curvature at Section 2: 3.7 Meter --> 3.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = ρ₁*Q*(v₁*R₁-v₂*R₂) --> 4*1.072*(20*8.1-12*3.7)

Evaluating ... ...

T = 504.2688

STEP 3: Convert Result to Output's Unit

504.2688 Newton Meter --> No Conversion Required

FINAL ANSWER

504.2688 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.004 seconds)

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< Hydrodynamics Basics Calculators

Moment of Momentum Equation

LaTeX Go 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)

Poiseuille's Formula

LaTeX Go Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length)

Metacentric Height given Time Period of Rolling

LaTeX Go Metacentric Height = ((Radius of Gyration*pi)^2)/((Time Period of Rolling/2)^2*[g])

Power

LaTeX Go Power Generated = Force on Fluid Element*Change in Velocity

Moment of Momentum Equation Formula

LaTeX Go

What is defined as moment of momentum?

Moment of momentum measures an objects tendency to continue to spin, it describes the rotary inertia of a system in motion about an axis. The moment of momentum, h0 about a fixed point o is defined as. Where. r is the position expressed as a displacement vector from the origin.

What is the definition of momentum equation?

The momentum equation is a mathematical formulation of the law of conservation of momentum. It states that the rate of change in linear momentum of a volume moving with a fluid is equal to the surface forces and the body forces acting on a fluid.

How to Calculate Moment of Momentum Equation?

Moment of Momentum Equation calculator 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 calculate 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 calculate Moment of Momentum Equation using this online calculator? To use this online calculator 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. Here is how the Moment of Momentum Equation calculation can be explained with given input values -> 504.2688 = 4*1.072*(20*8.1-12*3.7).

FAQ

What is Moment of Momentum Equation?

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 and is represented as T = ρ₁*Q*(v₁*R₁-v₂*R₂) or 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). Density of Liquid is mass of a unit volume of a material substance, Discharge is the rate of flow of a liquid, 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, 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, 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 & 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.

How to calculate Moment of Momentum Equation?

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 is calculated using 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 calculate Moment of Momentum Equation, you need 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). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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