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Shear Stress on Cylinder given Torque exerted on Inner Cylinder Formula

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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. Check FAQs

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

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

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Example

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

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

Here is how the Shear Stress on Cylinder given Torque exerted on Inner Cylinder equation looks like.

46.4388 = \frac{500}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 11.9}

46.4388Pa = \frac{500kN*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 11.9m}

46.4388 = \frac{500}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 11.9}

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Shear Stress on Cylinder given Torque exerted on Inner Cylinder Solution

Follow our step by step solution on how to calculate Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = \frac{500kN*m}{2 \cdot π \cdot ({(12m)}^{2}) \cdot 11.9m}

Next Step Substitute values of Constants

∴

𝜏 = \frac{500kN*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 11.9m}

Next Step Convert Units

∴

𝜏 = \frac{500000N*m}{2 \cdot 3.1416 \cdot ({(12m)}^{2}) \cdot 11.9m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{500000}{2 \cdot 3.1416 \cdot ({(12)}^{2}) \cdot 11.9}

Next Step Evaluate

∴

𝜏 = 46.438767242033Pa

LAST Step Rounding Answer

∴

𝜏 = 46.4388Pa

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Formula Elements

Variables

Constants

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

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

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

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 Velocity Gradients

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

How to Evaluate Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

Shear Stress on Cylinder given Torque exerted on Inner Cylinder evaluator uses Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder) to evaluate the Shear Stress, The Shear Stress on Cylinder given Torque exerted on Inner Cylinder is defined as the stress developed due to frictional resistance between the gap. Shear Stress is denoted by 𝜏 symbol.

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

FAQs on Shear Stress on Cylinder given Torque exerted on Inner Cylinder

What is the formula to find Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

The formula of Shear Stress on Cylinder given Torque exerted on Inner Cylinder is expressed as Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder). Here is an example- 46.43877 = 500000/(2*pi*((12)^2)*11.9).

How to calculate Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

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

Can the Shear Stress on Cylinder given Torque exerted on Inner Cylinder be negative?

No, the Shear Stress on Cylinder given Torque exerted on Inner Cylinder, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

Shear Stress on Cylinder given Torque exerted on Inner Cylinder is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress on Cylinder given Torque exerted on Inner Cylinder can be measured.

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Shear Stress on Cylinder given Torque exerted on Inner Cylinder Formula

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Example

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Solution

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Formula Elements

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

FAQs on Shear Stress on Cylinder given Torque exerted on Inner Cylinder

Variable Name