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Diameter given Drag Force as per Stokes Law Formula

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The Diameter of Spherical particle refers to the length of a straight line passing through the center of the sphere and connecting two points on its surface. Check FAQs

D S = \frac{F D}{3} \cdot π \cdot V s \cdot μ viscosity

D_S - Diameter of Spherical particle?F_D - Drag Force?V_s - Settling Velocity?μ_viscosity - Dynamic Viscosity?π - Archimedes' constant?

Diameter given Drag Force as per Stokes Law Example

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Here is how the Diameter given Drag Force as per Stokes Law equation looks like with Values.

Here is how the Diameter given Drag Force as per Stokes Law equation looks like with Units.

Here is how the Diameter given Drag Force as per Stokes Law equation looks like.

128.177 = \frac{80}{3} \cdot 3.1416 \cdot 1.5 \cdot 10.2

128.177m = \frac{80N}{3} \cdot 3.1416 \cdot 1.5m/s \cdot 10.2P

128.177 = \frac{80}{3} \cdot 3.1416 \cdot 1.5 \cdot 10.2

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Diameter given Drag Force as per Stokes Law Solution

Follow our step by step solution on how to calculate Diameter given Drag Force as per Stokes Law?

FIRST Step Consider the formula

D S = \frac{F D}{3} \cdot π \cdot V s \cdot μ viscosity

Next Step Substitute values of Variables

∴

D S = \frac{80N}{3} \cdot π \cdot 1.5m/s \cdot 10.2P

Next Step Substitute values of Constants

∴

D S = \frac{80N}{3} \cdot 3.1416 \cdot 1.5m/s \cdot 10.2P

Next Step Convert Units

∴

D S = \frac{80N}{3} \cdot 3.1416 \cdot 1.5m/s \cdot 1.02Pa*s

Next Step Prepare to Evaluate

∴

D S = \frac{80}{3} \cdot 3.1416 \cdot 1.5 \cdot 1.02

Next Step Evaluate

∴

D S = 128.176980266464m

LAST Step Rounding Answer

∴

D S = 128.177m

Diameter given Drag Force as per Stokes Law Formula Elements

Variables

Constants

Diameter of Spherical particle

The Diameter of Spherical particle refers to the length of a straight line passing through the center of the sphere and connecting two points on its surface.

Symbol: D_S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Spherical particle

Drag Force

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

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Settling Velocity

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.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity

Dynamic Viscosity

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.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Drag Force category

Go Drag Force as per Stokes Law

F D = 3 \cdot \frac{D S}{π \cdot μ viscosity \cdot V s}

How to Evaluate Diameter given Drag Force as per Stokes Law?

Diameter given Drag Force as per Stokes Law evaluator uses Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity to evaluate the Diameter of Spherical particle, The Diameter given Drag Force as per Stokes Law formula is defined as the radius of the object when it is made to fall into a fluid, with a terminal velocity. Diameter of Spherical particle is denoted by D_S symbol.

How to evaluate Diameter given Drag Force as per Stokes Law using this online evaluator? To use this online evaluator for Diameter given Drag Force as per Stokes Law, enter Drag Force (F_D), Settling Velocity (V_s) & Dynamic Viscosity (μ_viscosity) and hit the calculate button.

FAQs on Diameter given Drag Force as per Stokes Law

What is the formula to find Diameter given Drag Force as per Stokes Law?

The formula of Diameter given Drag Force as per Stokes Law is expressed as Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity. Here is an example- 128.177 = 80/3*pi*1.5*1.02.

How to calculate Diameter given Drag Force as per Stokes Law?

With Drag Force (F_D), Settling Velocity (V_s) & Dynamic Viscosity (μ_viscosity) we can find Diameter given Drag Force as per Stokes Law using the formula - Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity. This formula also uses Archimedes' constant .

Can the Diameter given Drag Force as per Stokes Law be negative?

No, the Diameter given Drag Force as per Stokes Law, measured in Length cannot be negative.

Which unit is used to measure Diameter given Drag Force as per Stokes Law?

Diameter given Drag Force as per Stokes Law is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter given Drag Force as per Stokes Law can be measured.

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Diameter given Drag Force as per Stokes Law Formula

Diameter given Drag Force as per Stokes Law Example

Diameter given Drag Force as per Stokes Law Solution

Diameter given Drag Force as per Stokes Law Formula Elements

Other formulas in Drag Force category

How to Evaluate Diameter given Drag Force as per Stokes Law?

FAQs on Diameter given Drag Force as per Stokes Law

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