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Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Formula

GoDynamic Viscosity of fluid given Terminal Fall Velocity Formula

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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs

μ = \frac{F resistance}{3 \cdot π \cdot D S \cdot V mean}

μ - Dynamic Viscosity?F_resistance - Resistance Force?D_S - Diameter of Sphere?V_mean - Mean Velocity?π - Archimedes' constant?

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Example

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Here is how the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface equation looks like with Values.

Here is how the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface equation looks like with Units.

Here is how the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface equation looks like.

10.1901 = \frac{0.97}{3 \cdot 3.1416 \cdot 10 \cdot 10.1}

10.1901P = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10m \cdot 10.1m/s}

10.1901 = \frac{0.97}{3 \cdot 3.1416 \cdot 10 \cdot 10.1}

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Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Solution

Follow our step by step solution on how to calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

FIRST Step Consider the formula

μ = \frac{F resistance}{3 \cdot π \cdot D S \cdot V mean}

Next Step Substitute values of Variables

∴

μ = \frac{0.97kN}{3 \cdot π \cdot 10m \cdot 10.1m/s}

Next Step Substitute values of Constants

∴

μ = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10m \cdot 10.1m/s}

Next Step Convert Units

∴

μ = \frac{970N}{3 \cdot 3.1416 \cdot 10m \cdot 10.1m/s}

Next Step Prepare to Evaluate

∴

μ = \frac{970}{3 \cdot 3.1416 \cdot 10 \cdot 10.1}

Next Step Evaluate

∴

μ = 1.019011846859Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.19011846859P

LAST Step Rounding Answer

∴

μ = 10.1901P

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Formula Elements

Variables

Constants

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Resistance Force

The Resistance Force Value is equal to the external load applied at equilibrium.

Symbol: F_resistance

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Resistance Force

Diameter of Sphere

The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.

Symbol: D_S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

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 to find Dynamic Viscosity

Go Dynamic Viscosity of fluid given Terminal Fall Velocity

μ = (\frac{{D S}^{2}}{18 \cdot V terminal}) \cdot (γ f - S)

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

Go Resistance Force on Spherical Surface

F resistance = 3 \cdot π \cdot μ \cdot V mean \cdot D S

Go Diameter of Sphere given Resistance Force on Spherical Surface

D S = \frac{F resistance}{3 \cdot π \cdot μ \cdot V mean}

Go Velocity of Sphere given Resistance Force on Spherical Surface

V mean = \frac{F resistance}{3 \cdot π \cdot μ \cdot D S}

Go Resistance Force on Spherical Surface given Specific Weights

F resistance = (\frac{π}{6}) \cdot ({D S}^{3}) \cdot (γ f)

How to Evaluate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface evaluator uses Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity) to evaluate the Dynamic Viscosity, The Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is defined as resistance offered by fluid due to relative motion. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface using this online evaluator? To use this online evaluator for Dynamic Viscosity of fluid given Resistance Force on Spherical Surface, enter Resistance Force (F_resistance), Diameter of Sphere (D_S) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

What is the formula to find Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

The formula of Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is expressed as Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity). Here is an example- 101.9012 = 970/(3*pi*10*10.1).

How to calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

With Resistance Force (F_resistance), Diameter of Sphere (D_S) & Mean Velocity (V_mean) we can find Dynamic Viscosity of fluid given Resistance Force on Spherical Surface using the formula - Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity). This formula also uses Archimedes' constant .

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

Dynamic Viscosity=((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)

Can the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface be negative?

No, the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity of fluid given Resistance Force on Spherical Surface can be measured.

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