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Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula

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

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

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

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Example

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

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

Here is how the Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid equation looks like.

469.69 = \frac{10.2}{\frac{15 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 5}}

469.69kN*m = \frac{10.2P}{\frac{15 \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}}

469.69 = \frac{10.2}{\frac{15 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 5}}

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Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{10.2P}{\frac{15 \cdot (13m - 12m)}{π \cdot π \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}}

Next Step Substitute values of Constants

∴

T = \frac{10.2P}{\frac{15 \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 5rev/s}}

Next Step Convert Units

∴

T = \frac{1.02Pa*s}{\frac{15 \cdot (13m - 12m)}{3.1416 \cdot 3.1416 \cdot 12m \cdot 12m \cdot 13m \cdot 11.9m \cdot 31.4159rad/s}}

Next Step Prepare to Evaluate

∴

T = \frac{1.02}{\frac{15 \cdot (13 - 12)}{3.1416 \cdot 3.1416 \cdot 12 \cdot 12 \cdot 13 \cdot 11.9 \cdot 31.4159}}

Next Step Evaluate

∴

T = 469690.024535239N*m

Next Step Convert to Output's Unit

∴

T = 469.69002453524kN*m

LAST Step Rounding Answer

∴

T = 469.69kN*m

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula Elements

Variables

Constants

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

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 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

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

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 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 Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid evaluator uses Torque on Inner Cylinder = Dynamic Viscosity/((15*(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)) to evaluate the Torque on Inner Cylinder, The Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid formula is defined as the rotation with which coaxial cylinder is rotating. Torque on Inner Cylinder is denoted by T symbol.

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

FAQs on Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid

What is the formula to find Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

The formula of Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid is expressed as Torque on Inner Cylinder = Dynamic Viscosity/((15*(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)). Here is an example- 0.46969 = 1.02/((15*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981)).

How to calculate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

With Dynamic Viscosity (μ), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω) we can find Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid using the formula - Torque on Inner Cylinder = Dynamic Viscosity/((15*(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)). This formula also uses Archimedes' constant .

Can the Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid be negative?

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

Which unit is used to measure Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid can be measured.

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Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Example

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Solution

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula Elements

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

FAQs on Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid

Variable Name