Shear Stress on Cylinder given Torque exerted on Inner Cylinder Calculator

✖The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque on Inner Cylinder [T]			+10% -10%
✖The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.ⓘ Radius of Inner Cylinder [r₁]			+10% -10%
✖The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Cylinder [h]			+10% -10%

✖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.ⓘ Shear Stress on Cylinder given Torque exerted on Inner Cylinder [𝜏]

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Formula

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Shear Stress on Cylinder given Torque exerted on Inner Cylinder

Formula

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

Example

46.43877 Pa = \frac{500 kN*m}{2 \cdot π \cdot ({(12 m)}^{2}) \cdot 11.9 m}

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Shear Stress on Cylinder given Torque exerted on Inner Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder)
𝜏 = T/(2*pi*((r₁)^2)*h)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress - (Measured in Pascal) - 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.
Torque on Inner Cylinder - (Measured in Newton Meter) - The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.
Radius of Inner Cylinder - (Measured in Meter) - The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Height of Cylinder - (Measured in Meter) - The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.

STEP 1: Convert Input(s) to Base Unit

Torque on Inner Cylinder: 500 Kilonewton Meter --> 500000 Newton Meter (Check conversion here)
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Height of Cylinder: 11.9 Meter --> 11.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = T/(2*pi*((r₁)^2)*h) --> 500000/(2*pi*((12)^2)*11.9)

Evaluating ... ...

𝜏 = 46.438767242033

STEP 3: Convert Result to Output's Unit

46.438767242033 Pascal --> No Conversion Required

FINAL ANSWER

46.438767242033 ≈ 46.43877 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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< Coaxial Cylinder Viscometers Calculators

Radius of Inner Cylinder given Torque exerted on Inner Cylinder

Go Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress))

Shear Stress on Cylinder given Torque exerted on Inner Cylinder

Go Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder)

Height of Cylinder given Torque exerted on Inner Cylinder

Go Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)

Torque exerted on Inner Cylinder

Go Total Torque = 2*((Radius of Inner Cylinder)^2)*Height of Cylinder*Shear Stress

Shear Stress on Cylinder given Torque exerted on Inner Cylinder Formula

Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder)
𝜏 = T/(2*pi*((r₁)^2)*h)

What is Shear Stress?

Shear stress, often denoted by τ, is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

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

Shear Stress on Cylinder given Torque exerted on Inner Cylinder calculator uses Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder) to calculate 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 calculate Shear Stress on Cylinder given Torque exerted on Inner Cylinder using this online calculator? To use this online calculator 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. Here is how the Shear Stress on Cylinder given Torque exerted on Inner Cylinder calculation can be explained with given input values -> 46.43877 = 500000/(2*pi*((12)^2)*11.9).

FAQ

What is Shear Stress on Cylinder given Torque exerted on Inner Cylinder?

The Shear Stress on Cylinder given Torque exerted on Inner Cylinder is defined as the stress developed due to frictional resistance between the gap and is represented as 𝜏 = T/(2*pi*((r₁)^2)*h) or Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder). The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate, The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement & The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.

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

The Shear Stress on Cylinder given Torque exerted on Inner Cylinder is defined as the stress developed due to frictional resistance between the gap is calculated using Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder). To calculate Shear Stress on Cylinder given Torque exerted on Inner Cylinder, you need Torque on Inner Cylinder (T), Radius of Inner Cylinder (r₁) & Height of Cylinder (h). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Radius of Inner Cylinder & Height of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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