Radius of Inner 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 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 [𝜏]			+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 given Torque exerted on Inner Cylinder [r₁]

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Radius of Inner Cylinder given Torque exerted on Inner Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque on Inner Cylinder: 500 Kilonewton Meter --> 500000 Newton Meter (Check conversion here)
Height of Cylinder: 11.9 Meter --> 11.9 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r₁ = sqrt(T/(2*pi*h*𝜏)) --> sqrt(500000/(2*pi*11.9*93.1))

Evaluating ... ...

r₁ = 8.47513738112387

STEP 3: Convert Result to Output's Unit

8.47513738112387 Meter --> No Conversion Required

FINAL ANSWER

8.47513738112387 ≈ 8.475137 Meter <-- Radius of Inner Cylinder

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Coaxial Cylinder Viscometers Calculators

Radius of Inner Cylinder given Torque exerted on Inner Cylinder

LaTeX 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

LaTeX 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

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

Torque exerted on Inner Cylinder

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

Radius of Inner Cylinder given Torque exerted on Inner Cylinder Formula

LaTeX Go

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

What is Torque?

Torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies by Archimedes of the usage of levers.

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

Radius of Inner Cylinder given Torque exerted on Inner Cylinder calculator uses Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)) to calculate 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 calculate Radius of Inner Cylinder given Torque exerted on Inner Cylinder using this online calculator? To use this online calculator 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. Here is how the Radius of Inner Cylinder given Torque exerted on Inner Cylinder calculation can be explained with given input values -> 8.475137 = sqrt(500000/(2*pi*11.9*93.1)).

FAQ

What is Radius of Inner Cylinder given Torque exerted on Inner Cylinder?

The Radius of Inner Cylinder given Torque exerted on Inner Cylinder formula is defined as the width of rotating arm or section and is represented as r₁ = sqrt(T/(2*pi*h*𝜏)) or Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)). The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate, The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright & 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.

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

The Radius of Inner Cylinder given Torque exerted on Inner Cylinder formula is defined as the width of rotating arm or section is calculated using Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress)). To calculate Radius of Inner Cylinder given Torque exerted on Inner Cylinder, you need Torque on Inner Cylinder (T), Height of Cylinder (h) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Height of Cylinder & Shear Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Inner Cylinder?

In this formula, Radius of Inner Cylinder uses Torque on Inner Cylinder, Height of Cylinder & Shear Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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