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Speed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid 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{V G}{\frac{π \cdot r 2}{30 \cdot (r 2 - r 1)}}

Ω - Angular Speed?V_G - Velocity Gradient?r₂ - Radius of Outer Cylinder?r₁ - Radius of Inner Cylinder?π - Archimedes' constant?

Speed of Outer Cylinder given Velocity Gradient Example

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Here is how the Speed of Outer Cylinder given Velocity Gradient equation looks like with Values.

Here is how the Speed of Outer Cylinder given Velocity Gradient equation looks like with Units.

Here is how the Speed of Outer Cylinder given Velocity Gradient equation looks like.

8.9552 = \frac{76.6}{\frac{3.1416 \cdot 13}{30 \cdot (13 - 12)}}

8.9552rev/s = \frac{76.6m/s}{\frac{3.1416 \cdot 13m}{30 \cdot (13m - 12m)}}

8.9552 = \frac{76.6}{\frac{3.1416 \cdot 13}{30 \cdot (13 - 12)}}

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Speed of Outer Cylinder given Velocity Gradient Solution

Follow our step by step solution on how to calculate Speed of Outer Cylinder given Velocity Gradient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ω = \frac{76.6m/s}{\frac{π \cdot 13m}{30 \cdot (13m - 12m)}}

Next Step Substitute values of Constants

∴

Ω = \frac{76.6m/s}{\frac{3.1416 \cdot 13m}{30 \cdot (13m - 12m)}}

Next Step Prepare to Evaluate

∴

Ω = \frac{76.6}{\frac{3.1416 \cdot 13}{30 \cdot (13 - 12)}}

Next Step Evaluate

∴

Ω = 56.2673937269501rad/s

Next Step Convert to Output's Unit

∴

Ω = 8.95523384699803rev/s

LAST Step Rounding Answer

∴

Ω = 8.9552rev/s

Speed of Outer Cylinder given Velocity Gradient 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

Velocity Gradient

The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.

Symbol: V_G

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Gradient

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

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 Dynamic Viscosity of Fluid

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}

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 Velocity Gradient?

Speed of Outer Cylinder given Velocity Gradient evaluator uses Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder))) to evaluate the Angular Speed, The Speed of Outer Cylinder given Velocity Gradient formula is defined as the speed at which cylinder is rotating in revolution per minutes. Angular Speed is denoted by Ω symbol.

How to evaluate Speed of Outer Cylinder given Velocity Gradient using this online evaluator? To use this online evaluator for Speed of Outer Cylinder given Velocity Gradient, enter Velocity Gradient (V_G), Radius of Outer Cylinder (r₂) & Radius of Inner Cylinder (r₁) and hit the calculate button.

FAQs on Speed of Outer Cylinder given Velocity Gradient

What is the formula to find Speed of Outer Cylinder given Velocity Gradient?

The formula of Speed of Outer Cylinder given Velocity Gradient is expressed as Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder))). Here is an example- 1.42527 = 76.6/((pi*13)/(30*(13-12))).

How to calculate Speed of Outer Cylinder given Velocity Gradient?

With Velocity Gradient (V_G), Radius of Outer Cylinder (r₂) & Radius of Inner Cylinder (r₁) we can find Speed of Outer Cylinder given Velocity Gradient using the formula - Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder))). 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=(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)
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 Velocity Gradient be negative?

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

Which unit is used to measure Speed of Outer Cylinder given Velocity Gradient?

Speed of Outer Cylinder given Velocity Gradient 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 Velocity Gradient can be measured.

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Speed of Outer Cylinder given Velocity Gradient Formula

​GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

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

Speed of Outer Cylinder given Velocity Gradient Example

Speed of Outer Cylinder given Velocity Gradient Solution

Speed of Outer Cylinder given Velocity Gradient Formula Elements

Other Formulas to find Angular Speed

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Speed of Outer Cylinder given Velocity Gradient?

FAQs on Speed of Outer Cylinder given Velocity Gradient

Variable Name

GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

GoSpeed of Outer Cylinder given Torque exerted on Outer Cylinder Formula