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Clearance given Torque exerted on Outer Cylinder Formula

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The Clearance refers to the gap or space between two surfaces adjacent to each other. Check FAQs

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

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

Clearance given Torque exerted on Outer Cylinder Example

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

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

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

15.6144 = 10.2 \cdot 3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 7000}

15.6144mm = 10.2P \cdot 3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 7000kN*m}

15.6144 = 10.2 \cdot 3.1416 \cdot 3.1416 \cdot 5 \cdot \frac{12^{4}}{60 \cdot 7000}

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Clearance given Torque exerted on Outer Cylinder Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = 10.2P \cdot π \cdot π \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 7000kN*m}

Next Step Substitute values of Constants

∴

C = 10.2P \cdot 3.1416 \cdot 3.1416 \cdot 5rev/s \cdot \frac{{12m}^{4}}{60 \cdot 7000kN*m}

Next Step Convert Units

∴

C = 1.02Pa*s \cdot 3.1416 \cdot 3.1416 \cdot 31.4159rad/s \cdot \frac{{12m}^{4}}{60 \cdot 7E+6N*m}

Next Step Prepare to Evaluate

∴

C = 1.02 \cdot 3.1416 \cdot 3.1416 \cdot 31.4159 \cdot \frac{12^{4}}{60 \cdot 7E+6}

Next Step Evaluate

∴

C = 0.0156144065779561m

Next Step Convert to Output's Unit

∴

C = 15.6144065779561mm

LAST Step Rounding Answer

∴

C = 15.6144mm

Clearance given Torque exerted on Outer Cylinder Formula Elements

Variables

Constants

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

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

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

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 Clearance given Torque exerted on Outer Cylinder?

Clearance given Torque exerted on Outer Cylinder evaluator uses Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder) to evaluate the Clearance, The Clearance given Torque exerted on Outer Cylinder formula is defined as the gap between inner and outer cylinder. Clearance is denoted by C symbol.

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

FAQs on Clearance given Torque exerted on Outer Cylinder

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

The formula of Clearance given Torque exerted on Outer Cylinder is expressed as Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder). Here is an example- 15614.41 = 1.02*pi*pi*31.4159265342981*(12^4)/(60*7000000).

How to calculate Clearance given Torque exerted on Outer Cylinder?

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

Can the Clearance given Torque exerted on Outer Cylinder be negative?

No, the Clearance given Torque exerted on Outer Cylinder, measured in Length cannot be negative.

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

Clearance given Torque exerted on Outer Cylinder is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Clearance given Torque exerted on Outer Cylinder can be measured.

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Clearance given Torque exerted on Outer Cylinder Formula

Clearance given Torque exerted on Outer Cylinder Example

Clearance given Torque exerted on Outer Cylinder Solution

Clearance given Torque exerted on Outer Cylinder Formula Elements

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Clearance given Torque exerted on Outer Cylinder?

FAQs on Clearance given Torque exerted on Outer Cylinder

Variable Name