Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density
ρm = (18*Vs*μviscosity/D^2*[g])+ρliquid
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Mass Density of Particles - (Measured in Kilogram per Cubic Meter) - Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).
Settling Velocity - (Measured in Meter per Second) - The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.
Diameter - (Measured in Meter) - The Diameter refers to the straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Liquid Density - (Measured in Kilogram per Cubic Meter) - The Liquid Density refers to the mass per unit volume of the liquid.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Dynamic Viscosity: 49 Poise --> 4.9 Pascal Second (Check conversion ​here)
Diameter: 20 Meter --> 20 Meter No Conversion Required
Liquid Density: 48 Kilogram per Cubic Meter --> 48 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρm = (18*Vsviscosity/D^2*[g])+ρliquid --> (18*1.5*4.9/20^2*[g])+48
Evaluating ... ...
ρm = 51.2435494875
STEP 3: Convert Result to Output's Unit
51.2435494875 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
51.2435494875 51.24355 Kilogram per Cubic Meter <-- Mass Density of Particles
(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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Density of Particle Calculators

Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity
​ LaTeX ​ Go Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density
Mass Density of Particle given Impelling Force
​ LaTeX ​ Go Density of Particle = (Impelling Force/([g]*Volume of One Particle))+Liquid Density

Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity Formula

​LaTeX ​Go
Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density
ρm = (18*Vs*μviscosity/D^2*[g])+ρliquid

What is Stokes Law?

Stokes Law is the basis of the falling-sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

How to Calculate Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity?

Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity calculator uses Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density to calculate the Mass Density of Particles, The Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity formula is defined as mass per unit volume of liquid that will be displaced by object when put in liquid. Mass Density of Particles is denoted by ρm symbol.

How to calculate Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity using this online calculator? To use this online calculator for Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity, enter Settling Velocity (Vs), Dynamic Viscosity viscosity), Diameter (D) & Liquid Density liquid) and hit the calculate button. Here is how the Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity calculation can be explained with given input values -> 51.24355 = (18*1.5*4.9/20^2*[g])+48.

FAQ

What is Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity?
The Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity formula is defined as mass per unit volume of liquid that will be displaced by object when put in liquid and is represented as ρm = (18*Vsviscosity/D^2*[g])+ρliquid or Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density. The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed, The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress, The Diameter refers to the straight line passing from side to side through the center of a body or figure, especially a circle or sphere & The Liquid Density refers to the mass per unit volume of the liquid.
How to calculate Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity?
The Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity formula is defined as mass per unit volume of liquid that will be displaced by object when put in liquid is calculated using Mass Density of Particles = (18*Settling Velocity*Dynamic Viscosity/Diameter^2*[g])+Liquid Density. To calculate Mass Density of Particle given Settling Velocity with respect to Dynamic Viscosity, you need Settling Velocity (Vs), Dynamic Viscosity viscosity), Diameter (D) & Liquid Density liquid). With our tool, you need to enter the respective value for Settling Velocity, Dynamic Viscosity, Diameter & Liquid Density 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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