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Settling Velocity given Frictional Drag Formula

GoSettling Velocity Formula

GoSettling Velocity with respect to Specific Gravity of Particle Formula

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Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity. Check FAQs

v s = \sqrt{\frac{2 \cdot F D}{a \cdot C D \cdot ρ f}}

v_s - Settling Velocity of Particles?F_D - Drag Force?a - Projected Area of A Particle?C_D - Drag Coefficient?ρ_f - Mass Density of Fluid?

Settling Velocity given Frictional Drag Example

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Here is how the Settling Velocity given Frictional Drag equation looks like with Values.

Here is how the Settling Velocity given Frictional Drag equation looks like with Units.

Here is how the Settling Velocity given Frictional Drag equation looks like.

0.0711 = \sqrt{\frac{2 \cdot 0.004}{1.32 \cdot 1200 \cdot 1000}}

0.0711m/s = \sqrt{\frac{2 \cdot 0.004N}{1.32mm² \cdot 1200 \cdot 1000kg/m³}}

0.0711 = \sqrt{\frac{2 \cdot 0.004}{1.32 \cdot 1200 \cdot 1000}}

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Settling Velocity given Frictional Drag Solution

Follow our step by step solution on how to calculate Settling Velocity given Frictional Drag?

FIRST Step Consider the formula

v s = \sqrt{\frac{2 \cdot F D}{a \cdot C D \cdot ρ f}}

Next Step Substitute values of Variables

∴

v s = \sqrt{\frac{2 \cdot 0.004N}{1.32mm² \cdot 1200 \cdot 1000kg/m³}}

Next Step Convert Units

∴

v s = \sqrt{\frac{2 \cdot 0.004N}{1.3E-6m² \cdot 1200 \cdot 1000kg/m³}}

Next Step Prepare to Evaluate

∴

v s = \sqrt{\frac{2 \cdot 0.004}{1.3E-6 \cdot 1200 \cdot 1000}}

Next Step Evaluate

∴

v s = 0.0710669054518701m/s

LAST Step Rounding Answer

∴

v s = 0.0711m/s

Settling Velocity given Frictional Drag Formula Elements

Variables

Functions

Settling Velocity of Particles

Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Particles

Drag Force

The Drag Force refers to the resisting force experienced by an particle moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Projected Area of A Particle

Projected Area of A Particle refers to the two-dimensional area that a particle presents when viewed along a particular axis.

Symbol: a

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Projected Area of A Particle

Drag Coefficient

The Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Mass Density of Fluid

Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Fluid

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Settling Velocity of Particles

Go Settling Velocity

v s = \sqrt{\frac{4 \cdot [g] \cdot (ρ m - ρ f) \cdot d}{3 \cdot C D \cdot ρ f}}

Go Settling Velocity with respect to Specific Gravity of Particle

v s = \sqrt{\frac{4 \cdot [g] \cdot (G s - 1) \cdot d}{3 \cdot C D}}

Go Settling Velocity given Particle Reynold's Number

v s = \frac{μ viscosity \cdot Re}{ρ f \cdot d}

Go Settling Velocity given Drag Force as per Stokes Law

v s = \frac{F D}{3 \cdot π \cdot μ viscosity \cdot d}

Other formulas in Settling Velocity category

Go Surface Loading with respect to Settling Velocity

R = 864000 \cdot v s

How to Evaluate Settling Velocity given Frictional Drag?

Settling Velocity given Frictional Drag evaluator uses Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)) to evaluate the Settling Velocity of Particles, The Settling Velocity given Frictional Drag formula is defined as the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity of Particles is denoted by v_s symbol.

How to evaluate Settling Velocity given Frictional Drag using this online evaluator? To use this online evaluator for Settling Velocity given Frictional Drag, enter Drag Force (F_D), Projected Area of A Particle (a), Drag Coefficient (C_D) & Mass Density of Fluid (ρ_f) and hit the calculate button.

FAQs on Settling Velocity given Frictional Drag

What is the formula to find Settling Velocity given Frictional Drag?

The formula of Settling Velocity given Frictional Drag is expressed as Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)). Here is an example- 2.247333 = sqrt((2*0.004)/(1.32E-06*1200*1000)).

How to calculate Settling Velocity given Frictional Drag?

With Drag Force (F_D), Projected Area of A Particle (a), Drag Coefficient (C_D) & Mass Density of Fluid (ρ_f) we can find Settling Velocity given Frictional Drag using the formula - Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Settling Velocity of Particles?

Here are the different ways to Calculate Settling Velocity of Particles-

Settling Velocity of Particles=sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles=sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
Settling Velocity of Particles=(Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

Can the Settling Velocity given Frictional Drag be negative?

No, the Settling Velocity given Frictional Drag, measured in Speed cannot be negative.

Which unit is used to measure Settling Velocity given Frictional Drag?

Settling Velocity given Frictional Drag is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Settling Velocity given Frictional Drag can be measured.

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: Value
: Unit

Settling Velocity given Frictional Drag Formula

​GoSettling Velocity Formula

​GoSettling Velocity with respect to Specific Gravity of Particle Formula

Settling Velocity given Frictional Drag Example

Settling Velocity given Frictional Drag Solution

Settling Velocity given Frictional Drag Formula Elements

Other Formulas to find Settling Velocity of Particles

Other formulas in Settling Velocity category

How to Evaluate Settling Velocity given Frictional Drag?

FAQs on Settling Velocity given Frictional Drag

Variable Name

GoSettling Velocity Formula

GoSettling Velocity with respect to Specific Gravity of Particle Formula