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Height of Cylinder given Torque exerted on Inner Cylinder Formula

GoHeight of Cylinder given Dynamic Viscosity of Fluid Formula

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The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright. Check FAQs

h = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot 𝜏}

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

Height of Cylinder given Torque exerted on Inner Cylinder Example

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

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

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

5.9358 = \frac{500}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 93.1}

5.9358m = \frac{500kN*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 93.1Pa}

5.9358 = \frac{500}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 93.1}

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Height of Cylinder given Torque exerted on Inner Cylinder Solution

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

FIRST Step Consider the formula

h = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot 𝜏}

Next Step Substitute values of Variables

∴

h = \frac{500kN*m}{2 \cdot π \cdot ({(12m)}^{2}) \cdot 93.1Pa}

Next Step Substitute values of Constants

∴

h = \frac{500kN*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 93.1Pa}

Next Step Convert Units

∴

h = \frac{500000N*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 93.1Pa}

Next Step Prepare to Evaluate

∴

h = \frac{500000}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 93.1}

Next Step Evaluate

∴

h = 5.93578227905684m

LAST Step Rounding Answer

∴

h = 5.9358m

Height of Cylinder given Torque exerted on Inner Cylinder Formula Elements

Variables

Constants

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

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

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

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

Other Formulas to find Height of Cylinder

Go Height of Cylinder given Dynamic Viscosity of Fluid

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

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 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 Height of Cylinder given Torque exerted on Inner Cylinder?

Height of Cylinder given Torque exerted on Inner Cylinder evaluator uses Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress) to evaluate the Height of Cylinder, The Height of Cylinder given Torque exerted on Inner Cylinder formula is defined as the total length of storage or rotating section height. Height of Cylinder is denoted by h symbol.

How to evaluate Height of Cylinder given Torque exerted on Inner Cylinder using this online evaluator? To use this online evaluator for Height of Cylinder given Torque exerted on Inner Cylinder, enter Torque on Inner Cylinder (T), Radius of Inner Cylinder (r₁) & Shear Stress (𝜏) and hit the calculate button.

FAQs on Height of Cylinder given Torque exerted on Inner Cylinder

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

The formula of Height of Cylinder given Torque exerted on Inner Cylinder is expressed as Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress). Here is an example- 5.935782 = 500000/(2*pi*((12)^2)*93.1).

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

With Torque on Inner Cylinder (T), Radius of Inner Cylinder (r₁) & Shear Stress (𝜏) we can find Height of Cylinder given Torque exerted on Inner Cylinder using the formula - Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress). This formula also uses Archimedes' constant .

What are the other ways to Calculate Height of Cylinder?

Here are the different ways to Calculate Height of Cylinder-

Height of Cylinder=(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*Dynamic Viscosity*Angular Speed)

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

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

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

Height of 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 Height of Cylinder given Torque exerted on Inner Cylinder can be measured.

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Height of Cylinder given Torque exerted on Inner Cylinder Formula

​GoHeight of Cylinder given Dynamic Viscosity of Fluid Formula

Height of Cylinder given Torque exerted on Inner Cylinder Example

Height of Cylinder given Torque exerted on Inner Cylinder Solution

Height of Cylinder given Torque exerted on Inner Cylinder Formula Elements

Other Formulas to find Height of Cylinder

Other formulas in Coaxial Cylinder Viscometers category

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

FAQs on Height of Cylinder given Torque exerted on Inner Cylinder

Variable Name

GoHeight of Cylinder given Dynamic Viscosity of Fluid Formula