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Dynamic Viscosity given Torque exerted on Outer Cylinder Formula

GoDynamic Viscosity of Fluid Flow given Torque Formula

GoDynamic Viscosity given Total Torque 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{T o}{π \cdot π \cdot Ω \cdot \frac{{r 1}^{4}}{60 \cdot C}}

μ - Dynamic Viscosity?T_o - Torque on Outer Cylinder?Ω - Angular Speed?r₁ - Radius of Inner Cylinder?C - Clearance?π - Archimedes' constant?

Dynamic Viscosity given Torque exerted on Outer Cylinder Example

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Here is how the Dynamic Viscosity given Torque exerted on Outer Cylinder equation looks like with Values.

Here is how the Dynamic Viscosity given Torque exerted on Outer Cylinder equation looks like with Units.

Here is how the Dynamic Viscosity given Torque exerted on Outer Cylinder equation looks like.

10.1253 = \frac{7000}{3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 15.5}}

10.1253P = \frac{7000kN*m}{3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

10.1253 = \frac{7000}{3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 15.5}}

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Dynamic Viscosity given Torque exerted on Outer Cylinder Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Torque exerted on Outer Cylinder?

FIRST Step Consider the formula

μ = \frac{T o}{π \cdot π \cdot Ω \cdot \frac{{r 1}^{4}}{60 \cdot C}}

Next Step Substitute values of Variables

∴

μ = \frac{7000kN*m}{π \cdot π \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

Next Step Substitute values of Constants

∴

μ = \frac{7000kN*m}{3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

Next Step Convert Units

∴

μ = \frac{7E+6N*m}{3.1416 \cdot 3.1416 \cdot 31.4159rad/s \cdot \frac{{12m}^{4}}{60 \cdot 0.0155m}}

Next Step Prepare to Evaluate

∴

μ = \frac{7E+6}{3.1416 \cdot 3.1416 \cdot 31.4159 \cdot \frac{12^{4}}{60 \cdot 0.0155}}

Next Step Evaluate

∴

μ = 1.0125264716957Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.125264716957P

LAST Step Rounding Answer

∴

μ = 10.1253P

Dynamic Viscosity given Torque exerted on Outer Cylinder 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

Torque on Outer Cylinder

The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.

Symbol: T_o

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Torque on Outer Cylinder

Angular Speed

The Angular Speed refers to the rate of change of angular displacement.

Symbol: Ω

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Radius of Inner Cylinder

The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Inner Cylinder

Clearance

The Clearance refers to the gap or space between two surfaces adjacent to each other.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Clearance

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 Flow given Torque

μ = \frac{15 \cdot T \cdot (r 2 - r 1)}{π \cdot π \cdot r 1 \cdot r 1 \cdot r 2 \cdot h \cdot Ω}

Go Dynamic Viscosity given Total Torque

μ = \frac{Τ Torque}{V c \cdot Ω}

Other formulas in Coaxial Cylinder Viscometers category

Go Torque exerted on Inner Cylinder

Τ Torque = 2 \cdot ({(r 1)}^{2}) \cdot h \cdot 𝜏

Go Radius of Inner Cylinder given Torque exerted on Inner Cylinder

r 1 = \sqrt{\frac{T}{2 \cdot π \cdot h \cdot 𝜏}}

Go Height of Cylinder given Torque exerted on Inner Cylinder

h = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot 𝜏}

Go Shear Stress on Cylinder given Torque exerted on Inner Cylinder

𝜏 = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot h}

How to Evaluate Dynamic Viscosity given Torque exerted on Outer Cylinder?

Dynamic Viscosity given Torque exerted on Outer Cylinder evaluator uses Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Torque exerted on Outer Cylinder formula is defined as the resistance due to relative motion in fluid. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Torque exerted on Outer Cylinder using this online evaluator? To use this online evaluator for Dynamic Viscosity given Torque exerted on Outer Cylinder, enter Torque on Outer Cylinder (T_o), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C) and hit the calculate button.

FAQs on Dynamic Viscosity given Torque exerted on Outer Cylinder

What is the formula to find Dynamic Viscosity given Torque exerted on Outer Cylinder?

The formula of Dynamic Viscosity given Torque exerted on Outer Cylinder is expressed as Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)). Here is an example- 101.2526 = 7000000/(pi*pi*31.4159265342981*(12^4)/(60*0.0155)).

How to calculate Dynamic Viscosity given Torque exerted on Outer Cylinder?

With Torque on Outer Cylinder (T_o), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C) we can find Dynamic Viscosity given Torque exerted on Outer Cylinder using the formula - Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)). 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=(15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed)
Dynamic Viscosity=Total Torque/(Viscometer Constant*Angular Speed)

Can the Dynamic Viscosity given Torque exerted on Outer Cylinder be negative?

No, the Dynamic Viscosity given Torque exerted on Outer Cylinder, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Torque exerted on Outer Cylinder?

Dynamic Viscosity given Torque exerted on Outer Cylinder 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 given Torque exerted on Outer Cylinder can be measured.

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Dynamic Viscosity given Torque exerted on Outer Cylinder Formula

​GoDynamic Viscosity of Fluid Flow given Torque Formula

​GoDynamic Viscosity given Total Torque Formula

Dynamic Viscosity given Torque exerted on Outer Cylinder Example

Dynamic Viscosity given Torque exerted on Outer Cylinder Solution

Dynamic Viscosity given Torque exerted on Outer Cylinder Formula Elements

Other Formulas to find Dynamic Viscosity

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Dynamic Viscosity given Torque exerted on Outer Cylinder?

FAQs on Dynamic Viscosity given Torque exerted on Outer Cylinder

Variable Name

GoDynamic Viscosity of Fluid Flow given Torque Formula

GoDynamic Viscosity given Total Torque Formula