Height of 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 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 Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Cylinder given Torque exerted on Inner Cylinder [h]

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Height of Cylinder given Torque exerted on Inner Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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)
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = T/(2*pi*((r₁)^2)*𝜏) --> 500000/(2*pi*((12)^2)*93.1)

Evaluating ... ...

h = 5.93578227905684

STEP 3: Convert Result to Output's Unit

5.93578227905684 Meter --> No Conversion Required

FINAL ANSWER

5.93578227905684 ≈ 5.935782 Meter <-- Height of Cylinder

(Calculation completed in 00.004 seconds)

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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

Height of Cylinder given Torque exerted on Inner Cylinder Formula

LaTeX Go

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

Height of Cylinder given Torque exerted on Inner Cylinder calculator uses Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress) to calculate 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 calculate Height of Cylinder given Torque exerted on Inner Cylinder using this online calculator? To use this online calculator 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. Here is how the Height of Cylinder given Torque exerted on Inner Cylinder calculation can be explained with given input values -> 5.935782 = 500000/(2*pi*((12)^2)*93.1).

FAQ

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

The Height of Cylinder given Torque exerted on Inner Cylinder formula is defined as the total length of storage or rotating section height and is represented as h = T/(2*pi*((r₁)^2)*𝜏) or Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*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 Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement & 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 Height of Cylinder given Torque exerted on Inner Cylinder?

The Height of Cylinder given Torque exerted on Inner Cylinder formula is defined as the total length of storage or rotating section height is calculated using Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress). To calculate Height of Cylinder given Torque exerted on Inner Cylinder, you need Torque on Inner Cylinder (T), Radius of Inner Cylinder (r₁) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Radius of Inner 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 Height of Cylinder?

In this formula, Height of Cylinder uses Torque on Inner Cylinder, Radius of Inner Cylinder & Shear Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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