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Stokes Force Formula

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Stokes' drag is a frictional force acting on the interface between the fluid layer and the adjacent layer of the spherical object. Check FAQs

F d = 6 \cdot π \cdot R \cdot μ \cdot ν f

F_d - Stokes' Drag?R - Radius of The Spherical Object?μ - Dynamic Viscosity Fluid?ν_f - Velocity of Fluid?π - Archimedes' constant?

Stokes Force Example

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With units

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Here is how the Stokes Force equation looks like with Values.

Here is how the Stokes Force equation looks like with Units.

Here is how the Stokes Force equation looks like.

53.04 = 6 \cdot 3.1416 \cdot 1.01 \cdot 0.0796 \cdot 35

53.04N = 6 \cdot 3.1416 \cdot 1.01m \cdot 0.0796Pa*s \cdot 35m/s

53.04 = 6 \cdot 3.1416 \cdot 1.01 \cdot 0.0796 \cdot 35

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Stokes Force Solution

Follow our step by step solution on how to calculate Stokes Force?

FIRST Step Consider the formula

F d = 6 \cdot π \cdot R \cdot μ \cdot ν f

Next Step Substitute values of Variables

∴

F d = 6 \cdot π \cdot 1.01m \cdot 0.0796Pa*s \cdot 35m/s

Next Step Substitute values of Constants

∴

F d = 6 \cdot 3.1416 \cdot 1.01m \cdot 0.0796Pa*s \cdot 35m/s

Next Step Prepare to Evaluate

∴

F d = 6 \cdot 3.1416 \cdot 1.01 \cdot 0.0796 \cdot 35

Next Step Evaluate

∴

F d = 53.0400114253811N

LAST Step Rounding Answer

∴

F d = 53.04N

Stokes Force Formula Elements

Variables

Constants

Stokes' Drag

Stokes' drag is a frictional force acting on the interface between the fluid layer and the adjacent layer of the spherical object.

Symbol: F_d

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Stokes' Drag

Radius of The Spherical Object

Radius of the spherical object is the length of a straight line segment drawn from the center of the spherical object to any point on its surface.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of The Spherical Object

Dynamic Viscosity Fluid

Dynamic Viscosity Fluid is the measure of fluid's resistance to flow when an external shear force is applied between the layers of fluid.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity Fluid

Velocity of Fluid

Velocity of Fluid is denoted as the the rate of change of fluid layer in a specified time frame relative to the spherical object.

Symbol: ν_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid

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 Dynamic Force Equations category

Go Inertial Force per Unit Area

F i = v^{2} \cdot ρ

Go Body Force

F b = \frac{F m}{V m}

Go Upthrust Force

F t = V i \cdot [g] \cdot ρ

Go Force in Direction of Jet Striking Stationary Vertical Plate

F = ρ \cdot A c \cdot {ν j}^{2}

How to Evaluate Stokes Force?

Stokes Force evaluator uses Stokes' Drag = 6*pi*Radius of The Spherical Object*Dynamic Viscosity Fluid*Velocity of Fluid to evaluate the Stokes' Drag, Stokes force or Stokes drag refers to the frictional force experienced by a small, spherical object moving at a slow velocity through a high viscous fluid. Stokes drag is the resistance the high viscous fluid provides due to its own internal friction. The force depends on the object's size, the fluid's viscosity, and the object's velocity. It's a crucial concept in understanding the behavior of small particles in fluids and is used in various applications, from analyzing blood flow to predicting the settling rate of dust particles in air. Stokes' Drag is denoted by F_d symbol.

How to evaluate Stokes Force using this online evaluator? To use this online evaluator for Stokes Force, enter Radius of The Spherical Object (R), Dynamic Viscosity Fluid (μ) & Velocity of Fluid (ν_f) and hit the calculate button.

FAQs on Stokes Force

What is the formula to find Stokes Force?

The formula of Stokes Force is expressed as Stokes' Drag = 6*pi*Radius of The Spherical Object*Dynamic Viscosity Fluid*Velocity of Fluid. Here is an example- 53.04001 = 6*pi*1.01*0.0796*35.

How to calculate Stokes Force?

With Radius of The Spherical Object (R), Dynamic Viscosity Fluid (μ) & Velocity of Fluid (ν_f) we can find Stokes Force using the formula - Stokes' Drag = 6*pi*Radius of The Spherical Object*Dynamic Viscosity Fluid*Velocity of Fluid. This formula also uses Archimedes' constant .

Can the Stokes Force be negative?

No, the Stokes Force, measured in Force cannot be negative.

Which unit is used to measure Stokes Force?

Stokes Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Stokes Force can be measured.

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Stokes Force Formula

Stokes Force Example

Stokes Force Solution

Stokes Force Formula Elements

Other formulas in Dynamic Force Equations category

How to Evaluate Stokes Force?

FAQs on Stokes Force

Variable Name