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Speed of Outer Cylinder given Torque exerted on Outer Cylinder Formula

GoSpeed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

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

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

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

Speed of Outer Cylinder given Torque exerted on Outer Cylinder Example

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

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

Here is how the Speed of Outer Cylinder given Torque exerted on Outer Cylinder equation looks like.

4.9634 = \frac{7000}{3.1416 \cdot 3.1416 \cdot 10.2 \cdot \frac{12^{4}}{60 \cdot 15.5}}

4.9634rev/s = \frac{7000kN*m}{3.1416 \cdot 3.1416 \cdot 10.2P \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

4.9634 = \frac{7000}{3.1416 \cdot 3.1416 \cdot 10.2 \cdot \frac{12^{4}}{60 \cdot 15.5}}

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Speed of Outer Cylinder given Torque exerted on Outer Cylinder Solution

Follow our step by step solution on how to calculate Speed of Outer Cylinder given Torque exerted on Outer Cylinder?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ω = \frac{7000kN*m}{π \cdot π \cdot 10.2P \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

Next Step Substitute values of Constants

∴

Ω = \frac{7000kN*m}{3.1416 \cdot 3.1416 \cdot 10.2P \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}}

Next Step Convert Units

∴

Ω = \frac{7E+6N*m}{3.1416 \cdot 3.1416 \cdot 1.02Pa*s \cdot \frac{{12m}^{4}}{60 \cdot 0.0155m}}

Next Step Prepare to Evaluate

∴

Ω = \frac{7E+6}{3.1416 \cdot 3.1416 \cdot 1.02 \cdot \frac{12^{4}}{60 \cdot 0.0155}}

Next Step Evaluate

∴

Ω = 31.185742400808rad/s

Next Step Convert to Output's Unit

∴

Ω = 4.96336505733186rev/s

LAST Step Rounding Answer

∴

Ω = 4.9634rev/s

Speed of Outer Cylinder given Torque exerted on Outer Cylinder 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 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

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

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 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 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 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 Torque exerted on Outer Cylinder?

Speed of Outer Cylinder given Torque exerted on Outer Cylinder evaluator uses Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance)) to evaluate the Angular Speed, The Speed of Outer Cylinder given Torque exerted on Outer Cylinder formula is defined as the torque applied to it, following the relationship between torque, rotational inertia, and angular acceleration. Angular Speed is denoted by Ω symbol.

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

FAQs on Speed of Outer Cylinder given Torque exerted on Outer Cylinder

What is the formula to find Speed of Outer Cylinder given Torque exerted on Outer Cylinder?

The formula of Speed of Outer Cylinder given Torque exerted on Outer Cylinder is expressed as Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance)). Here is an example- 0.789944 = 7000000/(pi*pi*1.02*(12^4)/(60*0.0155)).

How to calculate Speed of Outer Cylinder given Torque exerted on Outer Cylinder?

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

Can the Speed of Outer Cylinder given Torque exerted on Outer Cylinder be negative?

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

Which unit is used to measure Speed of Outer Cylinder given Torque exerted on Outer Cylinder?

Speed of Outer Cylinder given Torque exerted on Outer Cylinder 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 Torque exerted on Outer Cylinder can be measured.

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Speed of Outer Cylinder given Torque exerted on Outer Cylinder Formula

​GoSpeed of Outer Cylinder given Velocity Gradient Formula

​GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

Speed of Outer Cylinder given Torque exerted on Outer Cylinder Example

Speed of Outer Cylinder given Torque exerted on Outer Cylinder Solution

Speed of Outer Cylinder given Torque exerted on Outer Cylinder Formula Elements

Other Formulas to find Angular Speed

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Speed of Outer Cylinder given Torque exerted on Outer Cylinder?

FAQs on Speed of Outer Cylinder given Torque exerted on Outer Cylinder

Variable Name

GoSpeed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula