Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.ⓘ Radius of Outer Cylinder [r₂]			+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 Angular Speed refers to the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+10% -10%

✖The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid [T]

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Formula

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Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid

Formula

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

Example

469.69 kN*m = \frac{10.2 P}{\frac{15 \cdot (13 m - 12 m)}{π \cdot π \cdot 12 m \cdot 12 m \cdot 13 m \cdot 11.9 m \cdot 5 rev/s}}

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Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque on Inner Cylinder = Dynamic Viscosity/((15*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed))
T = μ/((15*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Radius of Outer Cylinder - (Measured in Meter) - The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.
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.
Angular Speed - (Measured in Radian per Second) - The Angular Speed refers to the rate of change of angular displacement.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Radius of Outer Cylinder: 13 Meter --> 13 Meter No Conversion Required
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Height of Cylinder: 11.9 Meter --> 11.9 Meter No Conversion Required
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = μ/((15*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω)) --> 1.02/((15*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981))

Evaluating ... ...

T = 469690.024535239

STEP 3: Convert Result to Output's Unit

469690.024535239 Newton Meter -->469.69002453524 Kilonewton Meter (Check conversion here)

FINAL ANSWER

469.69002453524 ≈ 469.69 Kilonewton Meter <-- Torque on Inner 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

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

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula

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 Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid calculator uses Torque on Inner Cylinder = Dynamic Viscosity/((15*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed)) to calculate the Torque on Inner Cylinder, The Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid formula is defined as the rotation with which coaxial cylinder is rotating. Torque on Inner Cylinder is denoted by T symbol.

How to calculate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid using this online calculator? To use this online calculator for Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid, enter Dynamic Viscosity (μ), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω) and hit the calculate button. Here is how the Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid calculation can be explained with given input values -> 0.46969 = 1.02/((15*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981)).

FAQ

What is Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

The Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid formula is defined as the rotation with which coaxial cylinder is rotating and is represented as T = μ/((15*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω)) or Torque on Inner Cylinder = Dynamic Viscosity/((15*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed)). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation, 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 & The Angular Speed refers to the rate of change of angular displacement.

How to calculate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid?

The Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid formula is defined as the rotation with which coaxial cylinder is rotating is calculated using Torque on Inner Cylinder = Dynamic Viscosity/((15*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed)). To calculate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid, you need Dynamic Viscosity (μ), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω). With our tool, you need to enter the respective value for Dynamic Viscosity, Radius of Outer Cylinder, Radius of Inner Cylinder, Height of Cylinder & Angular Speed 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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