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Speed of Outer Cylinder given Total Torque 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{Τ Torque}{V c \cdot μ}

Ω - Angular Speed?Τ_Torque - Total Torque?V_c - Viscometer Constant?μ - Dynamic Viscosity?

Speed of Outer Cylinder given Total Torque Example

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

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

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

4.9437 = \frac{320}{10.1 \cdot 10.2}

4.9437rev/s = \frac{320N*m}{10.1 \cdot 10.2P}

4.9437 = \frac{320}{10.1 \cdot 10.2}

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Speed of Outer Cylinder given Total Torque Solution

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

FIRST Step Consider the formula

Ω = \frac{Τ Torque}{V c \cdot μ}

Next Step Substitute values of Variables

∴

Ω = \frac{320N*m}{10.1 \cdot 10.2P}

Next Step Convert Units

∴

Ω = \frac{320N*m}{10.1 \cdot 1.02Pa*s}

Next Step Prepare to Evaluate

∴

Ω = \frac{320}{10.1 \cdot 1.02}

Next Step Evaluate

∴

Ω = 31.061929722384rad/s

Next Step Convert to Output's Unit

∴

Ω = 4.94365965754222rev/s

LAST Step Rounding Answer

∴

Ω = 4.9437rev/s

Speed of Outer Cylinder given Total Torque Formula Elements

Variables

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

Total Torque

The Total Torque refers to the measure of the force that can cause an object to rotate about an axis.

Symbol: Τ_Torque

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Total Torque

Viscometer Constant

The Viscometer Constant refers to the material and dimensional constant for coaxial cylinder viscometer.

Symbol: V_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Viscometer Constant

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

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 Torque exerted on Outer Cylinder

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

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 Total Torque?

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

How to evaluate Speed of Outer Cylinder given Total Torque using this online evaluator? To use this online evaluator for Speed of Outer Cylinder given Total Torque, enter Total Torque (Τ_Torque), Viscometer Constant (V_c) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Speed of Outer Cylinder given Total Torque

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

The formula of Speed of Outer Cylinder given Total Torque is expressed as Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity). Here is an example- 0.786808 = 320/(10.1*1.02).

How to calculate Speed of Outer Cylinder given Total Torque?

With Total Torque (Τ_Torque), Viscometer Constant (V_c) & Dynamic Viscosity (μ) we can find Speed of Outer Cylinder given Total Torque using the formula - Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity).

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=Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))

Can the Speed of Outer Cylinder given Total Torque be negative?

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

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

Speed of Outer Cylinder given Total Torque 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 Total Torque can be measured.

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Speed of Outer Cylinder given Total Torque Formula

​GoSpeed of Outer Cylinder given Velocity Gradient Formula

​GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula

Speed of Outer Cylinder given Total Torque Example

Speed of Outer Cylinder given Total Torque Solution

Speed of Outer Cylinder given Total Torque Formula Elements

Other Formulas to find Angular Speed

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Speed of Outer Cylinder given Total Torque?

FAQs on Speed of Outer Cylinder given Total Torque

Variable Name

GoSpeed of Outer Cylinder given Velocity Gradient Formula

GoSpeed of Outer Cylinder given Dynamic Viscosity of Fluid Formula