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Radius of Inner Cylinder given Torque exerted on Inner Cylinder Formula

GoRadius of Inner Cylinder given Velocity Gradient Formula

GoRadius of Inner Cylinder given Torque exerted on Outer Cylinder Formula

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The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement. Check FAQs

r 1 = \sqrt{\frac{T}{2 \cdot π \cdot h \cdot 𝜏}}

r₁ - Radius of Inner Cylinder?T - Torque on Inner Cylinder?h - Height of Cylinder?𝜏 - Shear Stress?π - Archimedes' constant?

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Example

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

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

Here is how the Radius of Inner Cylinder given Torque exerted on Inner Cylinder equation looks like.

8.4751 = \sqrt{\frac{500}{2 \cdot 3.1416 \cdot 11.9 \cdot 93.1}}

8.4751m = \sqrt{\frac{500kN*m}{2 \cdot 3.1416 \cdot 11.9m \cdot 93.1Pa}}

8.4751 = \sqrt{\frac{500}{2 \cdot 3.1416 \cdot 11.9 \cdot 93.1}}

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Radius of Inner Cylinder given Torque exerted on Inner Cylinder Solution

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

FIRST Step Consider the formula

r 1 = \sqrt{\frac{T}{2 \cdot π \cdot h \cdot 𝜏}}

Next Step Substitute values of Variables

∴

r 1 = \sqrt{\frac{500kN*m}{2 \cdot π \cdot 11.9m \cdot 93.1Pa}}

Next Step Substitute values of Constants

∴

r 1 = \sqrt{\frac{500kN*m}{2 \cdot 3.1416 \cdot 11.9m \cdot 93.1Pa}}

Next Step Convert Units

∴

r 1 = \sqrt{\frac{500000N*m}{2 \cdot 3.1416 \cdot 11.9m \cdot 93.1Pa}}

Next Step Prepare to Evaluate

∴

r 1 = \sqrt{\frac{500000}{2 \cdot 3.1416 \cdot 11.9 \cdot 93.1}}

Next Step Evaluate

∴

r 1 = 8.47513738112387m

LAST Step Rounding Answer

∴

r 1 = 8.4751m

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Formula Elements

Variables

Constants

Functions

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 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

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

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Radius of Inner Cylinder

Go Radius of Inner Cylinder given Velocity Gradient

r 1 = \frac{30 \cdot V G \cdot r 2 - π \cdot r 2 \cdot Ω}{30 \cdot V G}

Go Radius of Inner Cylinder given Torque exerted on Outer Cylinder

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

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 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}

Go Velocity Gradients

V G = π \cdot r 2 \cdot \frac{Ω}{30 \cdot (r 2 - r 1)}

How to Evaluate Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

Radius of Inner Cylinder given Torque exerted on Inner Cylinder evaluator uses Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)) to evaluate the Radius of Inner Cylinder, The Radius of Inner Cylinder given Torque exerted on Inner Cylinder formula is defined as the width of rotating arm or section. Radius of Inner Cylinder is denoted by r₁ symbol.

How to evaluate Radius of Inner Cylinder given Torque exerted on Inner Cylinder using this online evaluator? To use this online evaluator for Radius of Inner Cylinder given Torque exerted on Inner Cylinder, enter Torque on Inner Cylinder (T), Height of Cylinder (h) & Shear Stress (𝜏) and hit the calculate button.

FAQs on Radius of Inner Cylinder given Torque exerted on Inner Cylinder

What is the formula to find Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

The formula of Radius of Inner Cylinder given Torque exerted on Inner Cylinder is expressed as Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)). Here is an example- 8.475137 = sqrt(500000/(2*pi*11.9*93.1)).

How to calculate Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

With Torque on Inner Cylinder (T), Height of Cylinder (h) & Shear Stress (𝜏) we can find Radius of Inner Cylinder given Torque exerted on Inner Cylinder using the formula - Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Inner Cylinder?

Here are the different ways to Calculate Radius of Inner Cylinder-

Radius of Inner Cylinder=(30*Velocity Gradient*Radius of Outer Cylinder-pi*Radius of Outer Cylinder*Angular Speed)/(30*Velocity Gradient)
Radius of Inner Cylinder=(Torque on Outer Cylinder/(Dynamic Viscosity*pi*pi*Angular Speed/(60*Clearance)))^(1/4)

Can the Radius of Inner Cylinder given Torque exerted on Inner Cylinder be negative?

No, the Radius of Inner Cylinder given Torque exerted on Inner Cylinder, measured in Length cannot be negative.

Which unit is used to measure Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

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

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Radius of Inner Cylinder given Torque exerted on Inner Cylinder Formula

​GoRadius of Inner Cylinder given Velocity Gradient Formula

​GoRadius of Inner Cylinder given Torque exerted on Outer Cylinder Formula

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Example

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Solution

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Formula Elements

Other Formulas to find Radius of Inner Cylinder

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

FAQs on Radius of Inner Cylinder given Torque exerted on Inner Cylinder

Variable Name

GoRadius of Inner Cylinder given Velocity Gradient Formula

GoRadius of Inner Cylinder given Torque exerted on Outer Cylinder Formula