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Speed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

GoSpeed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Torque exerted on Outer Cylinder Formula

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

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

Ω - Angular Speed?T - Torque on Inner Cylinder?r₂ - Radius of Outer Cylinder?r₁ - Radius of Inner Cylinder?h - Height of Cylinder?μ - Dynamic Viscosity?π - Archimedes' constant?

Speed of Outer Cylinder given Dynamic Viscosity of Fluid Example

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Here is how the Speed of Outer Cylinder given Dynamic Viscosity of Fluid equation looks like with Values.

Here is how the Speed of Outer Cylinder given Dynamic Viscosity of Fluid equation looks like with Units.

Here is how the Speed of Outer Cylinder given Dynamic Viscosity of Fluid equation looks like.

5.3227 = \frac{15 \cdot 500 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 10.2}

5.3227rev/s = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 10.2P}

5.3227 = \frac{15 \cdot 500 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 10.2}

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Speed of Outer Cylinder given Dynamic Viscosity of Fluid Solution

Follow our step by step solution on how to calculate Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ω = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{π \cdot π \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 10.2P}

Next Step Substitute values of Constants

∴

Ω = \frac{15 \cdot 500kN*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 10.2P}

Next Step Convert Units

∴

Ω = \frac{15 \cdot 500000N*m \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 1.02Pa*s}

Next Step Prepare to Evaluate

∴

Ω = \frac{15 \cdot 500000 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 1.02}

Next Step Evaluate

∴

Ω = 33.4432550120522rad/s

Next Step Convert to Output's Unit

∴

Ω = 5.32265934852195rev/s

LAST Step Rounding Answer

∴

Ω = 5.3227rev/s

Speed of Outer Cylinder given Dynamic Viscosity of Fluid Formula Elements

Variables

Constants

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

Torque on Inner Cylinder

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

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Torque on Inner Cylinder

Radius of Outer Cylinder

The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Cylinder

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

Height of Cylinder

The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylinder

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

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 Angular Speed

Go Speed of Outer Cylinder given Velocity Gradient

Ω = \frac{V G}{\frac{π \cdot r 2}{30 \cdot (r 2 - r 1)}}

Go Speed of Outer Cylinder given Torque exerted on Outer Cylinder

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

Go Speed of Outer Cylinder given Total Torque

Ω = \frac{Τ Torque}{V c \cdot μ}

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 Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

Speed of Outer Cylinder given Dynamic Viscosity of Fluid evaluator uses Angular Speed = (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*Dynamic Viscosity) to evaluate the Angular Speed, The Speed of Outer Cylinder given Dynamic Viscosity of Fluid formula is defined as speed in revolutions per minutes for cylinder. Angular Speed is denoted by Ω symbol.

How to evaluate Speed of Outer Cylinder given Dynamic Viscosity of Fluid using this online evaluator? To use this online evaluator for Speed of Outer Cylinder given Dynamic Viscosity of Fluid, enter Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Speed of Outer Cylinder given Dynamic Viscosity of Fluid

What is the formula to find Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

The formula of Speed of Outer Cylinder given Dynamic Viscosity of Fluid is expressed as Angular Speed = (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*Dynamic Viscosity). Here is an example- 0.847128 = (15*500000*(13-12))/(pi*pi*12*12*13*11.9*1.02).

How to calculate Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

With Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Dynamic Viscosity (μ) we can find Speed of Outer Cylinder given Dynamic Viscosity of Fluid using the formula - Angular Speed = (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*Dynamic Viscosity). This formula also uses Archimedes' constant .

What are the other ways to Calculate Angular Speed?

Here are the different ways to Calculate Angular Speed-

Angular Speed=Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)))
Angular Speed=Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))
Angular Speed=Total Torque/(Viscometer Constant*Dynamic Viscosity)

Can the Speed of Outer Cylinder given Dynamic Viscosity of Fluid be negative?

No, the Speed of Outer Cylinder given Dynamic Viscosity of Fluid, measured in Angular Velocity cannot be negative.

Which unit is used to measure Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

Speed of Outer Cylinder given Dynamic Viscosity of Fluid is usually measured using the Revolution per Second[rev/s] for Angular Velocity. Radian per Second[rev/s], Radian per Day[rev/s], Radian per Hour[rev/s] are the few other units in which Speed of Outer Cylinder given Dynamic Viscosity of Fluid can be measured.

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Speed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

​GoSpeed of Outer Cylinder given Velocity Gradient Formula

​GoSpeed of Outer Cylinder given Torque exerted on Outer Cylinder Formula

Speed of Outer Cylinder given Dynamic Viscosity of Fluid Example

Speed of Outer Cylinder given Dynamic Viscosity of Fluid Solution

Speed of Outer Cylinder given Dynamic Viscosity of Fluid Formula Elements

Other Formulas to find Angular Speed

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Speed of Outer Cylinder given Dynamic Viscosity of Fluid?

FAQs on Speed of Outer Cylinder given Dynamic Viscosity of Fluid

Variable Name

GoSpeed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Torque exerted on Outer Cylinder Formula