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Torque Exerted on Outer Cylinder Formula

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

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

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

Torque Exerted on Outer Cylinder Example

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Here is how the Torque Exerted on Outer Cylinder equation looks like with Values.

Here is how the Torque Exerted on Outer Cylinder equation looks like with Units.

Here is how the Torque Exerted on Outer Cylinder equation looks like.

7051.6675 = 10.2 \cdot 3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 15.5}

7051.6675kN*m = 10.2P \cdot 3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}

7051.6675 = 10.2 \cdot 3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 15.5}

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Torque Exerted on Outer Cylinder Solution

Follow our step by step solution on how to calculate Torque Exerted on Outer Cylinder?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T o = 10.2P \cdot π \cdot π \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}

Next Step Substitute values of Constants

∴

T o = 10.2P \cdot 3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 15.5mm}

Next Step Convert Units

∴

T o = 1.02Pa*s \cdot 3.1416 \cdot 3.1416 \cdot 31.4159rad/s \cdot \frac{{12m}^{4}}{60 \cdot 0.0155m}

Next Step Prepare to Evaluate

∴

T o = 1.02 \cdot 3.1416 \cdot 3.1416 \cdot 31.4159 \cdot \frac{12^{4}}{60 \cdot 0.0155}

Next Step Evaluate

∴

T o = 7051667.48681887N*m

Next Step Convert to Output's Unit

∴

T o = 7051.66748681887kN*m

LAST Step Rounding Answer

∴

T o = 7051.6675kN*m

Torque Exerted on Outer Cylinder Formula Elements

Variables

Constants

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

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

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 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 Outer Cylinder?

Torque Exerted on Outer Cylinder evaluator uses Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance) to evaluate the Torque on Outer Cylinder, The Torque Exerted on Outer Cylinder formula is defined as the torque acting on the smaller cylinder of smaller radius in coaxial system. Torque on Outer Cylinder is denoted by T_o symbol.

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

FAQs on Torque Exerted on Outer Cylinder

What is the formula to find Torque Exerted on Outer Cylinder?

The formula of Torque Exerted on Outer Cylinder is expressed as Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance). Here is an example- 7.051667 = 1.02*pi*pi*31.4159265342981*(12^4)/(60*0.0155).

How to calculate Torque Exerted on Outer Cylinder?

With Dynamic Viscosity (μ), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C) we can find Torque Exerted on Outer Cylinder using the formula - Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance). This formula also uses Archimedes' constant .

Can the Torque Exerted on Outer Cylinder be negative?

No, the Torque Exerted on Outer Cylinder, measured in Torque cannot be negative.

Which unit is used to measure Torque Exerted on Outer Cylinder?

Torque Exerted on Outer Cylinder 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 Outer Cylinder can be measured.

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Torque Exerted on Outer Cylinder Formula

Torque Exerted on Outer Cylinder Example

Torque Exerted on Outer Cylinder Solution

Torque Exerted on Outer Cylinder Formula Elements

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Torque Exerted on Outer Cylinder?

FAQs on Torque Exerted on Outer Cylinder

Variable Name