Time Rate of Change of Momentum of Mass Flux Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_Fluid]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ]			+10% -10%

✖Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Time Rate of Change of Momentum of Mass Flux [F]

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Formula

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Time Rate of Change of Momentum of Mass Flux

Formula

`"F" = "ρ"_{"Fluid"}*"u"_{"Fluid"}^2*"A"*(sin("θ"))^2`

Example

`"1.353524N"="9.5kg/m³"*("1.5m/s")^2*"2.1m²"*(sin("10°"))^2`

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Time Rate of Change of Momentum of Mass Flux Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2
F = ρ_Fluid*u_Fluid^2*A*(sin(θ))^2
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Force - (Measured in Newton) - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 9.5 Kilogram per Cubic Meter --> 9.5 Kilogram per Cubic Meter No Conversion Required
Fluid Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Area: 2.1 Square Meter --> 2.1 Square Meter No Conversion Required
Angle of Inclination: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = ρ_Fluid*u_Fluid^2*A*(sin(θ))^2 --> 9.5*1.5^2*2.1*(sin(0.1745329251994))^2

Evaluating ... ...

F = 1.35352374223576

STEP 3: Convert Result to Output's Unit

1.35352374223576 Newton --> No Conversion Required

FINAL ANSWER

1.35352374223576 ≈ 1.353524 Newton <-- Force

(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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< 14 Newtonian Flow Calculators

Time Rate of Change of Momentum of Mass Flux

Go Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2

Mass Flux Incident on Surface Area

Go Mass Flux(g) = Density of Material*Velocity*Area*sin(Angle of Inclination)

Maximum Pressure Coefficient

Go Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)

Exact Normal Shock Wave Maximum Coefficient of Pressure

Go Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)

Pressure Coefficient for Slender 2D Bodies

Go Pressure Coefficient = 2*((Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis)

Pressure Coefficient for Slender Bodies of Revolution

Go Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

Coefficient of Lift Equation with Angle of Attack

Go Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)

Modified Newtonian Law

Go Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

Coefficient of Lift Equation with Coefficient of Normal Force

Go Lift Coefficient = Coefficient of Force*cos(Angle of Attack)

Coefficient of Drag Equation with Coefficient of Normal Force

Go Drag Coefficient = Coefficient of Force*sin(Angle of Attack)

Force Exerted on Surface given Static Pressure

Go Force = Area*(Surface Pressure-Static Pressure)

Lift Force with Angle of Attack

Go Lift Force = Drag Force*cot(Angle of Attack)

Drag Force with Angle of Attack

Go Drag Force = Lift Force/cot(Angle of Attack)

Coefficient of Drag Equation with Angle of Attack

Go Drag Coefficient = 2*(sin(Angle of Attack))^3

Time Rate of Change of Momentum of Mass Flux Formula

Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2
F = ρ_Fluid*u_Fluid^2*A*(sin(θ))^2

What is momentum?

Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion.

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

Time Rate of Change of Momentum of Mass Flux calculator uses Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2 to calculate the Force, Time rate of change of momentum of mass flux formula is defined as the product of free stream density, the square of free stream velocity, area at which the fluid is impacting, and the square of inclination angle. Force is denoted by F symbol.

How to calculate Time Rate of Change of Momentum of Mass Flux using this online calculator? To use this online calculator for Time Rate of Change of Momentum of Mass Flux, enter Density of Fluid (ρ_Fluid), Fluid Velocity (u_Fluid), Area (A) & Angle of Inclination (θ) and hit the calculate button. Here is how the Time Rate of Change of Momentum of Mass Flux calculation can be explained with given input values -> 1.634264 = 9.5*1.5^2*2.1*(sin(0.1745329251994))^2.

FAQ

What is Time Rate of Change of Momentum of Mass Flux?

Time rate of change of momentum of mass flux formula is defined as the product of free stream density, the square of free stream velocity, area at which the fluid is impacting, and the square of inclination angle and is represented as F = ρ_Fluid*u_Fluid^2*A*(sin(θ))^2 or Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, The area is the amount of two-dimensional space taken up by an object & Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

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

Time rate of change of momentum of mass flux formula is defined as the product of free stream density, the square of free stream velocity, area at which the fluid is impacting, and the square of inclination angle is calculated using Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2. To calculate Time Rate of Change of Momentum of Mass Flux, you need Density of Fluid (ρ_Fluid), Fluid Velocity (u_Fluid), Area (A) & Angle of Inclination (θ). With our tool, you need to enter the respective value for Density of Fluid, Fluid Velocity, Area & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Force?

In this formula, Force uses Density of Fluid, Fluid Velocity, Area & Angle of Inclination. We can use 1 other way(s) to calculate the same, which is/are as follows -

Force = Area*(Surface Pressure-Static Pressure)

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