Dynamic Viscosity given Torque exerted on Outer Cylinder Calculator

✖The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque on Outer Cylinder [T_o]			+10% -10%
✖The Angular Speed refers to the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+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 Clearance refers to the gap or space between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Torque exerted on Outer Cylinder [μ]

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Dynamic Viscosity given Torque exerted on Outer Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
μ = T_o/(pi*pi*Ω*(r₁^4)/(60*C))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Torque on Outer Cylinder - (Measured in Newton Meter) - The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.
Angular Speed - (Measured in Radian per Second) - The Angular Speed refers to the rate of change of angular displacement.
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.
Clearance - (Measured in Meter) - The Clearance refers to the gap or space between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Torque on Outer Cylinder: 7000 Kilonewton Meter --> 7000000 Newton Meter (Check conversion here)
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Clearance: 15.5 Millimeter --> 0.0155 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = T_o/(pi*pi*Ω*(r₁^4)/(60*C)) --> 7000000/(pi*pi*31.4159265342981*(12^4)/(60*0.0155))

Evaluating ... ...

μ = 1.0125264716957

STEP 3: Convert Result to Output's Unit

1.0125264716957 Pascal Second -->10.125264716957 Poise (Check conversion here)

FINAL ANSWER

10.125264716957 ≈ 10.12526 Poise <-- Dynamic Viscosity

(Calculation completed in 00.008 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

Dynamic Viscosity given Torque exerted on Outer Cylinder Formula

LaTeX Go

Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
μ = T_o/(pi*pi*Ω*(r₁^4)/(60*C))

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Dynamic Viscosity given Torque exerted on Outer Cylinder?

Dynamic Viscosity given Torque exerted on Outer Cylinder calculator uses Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Torque exerted on Outer Cylinder formula is defined as the resistance due to relative motion in fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Torque exerted on Outer Cylinder using this online calculator? To use this online calculator for Dynamic Viscosity given Torque exerted on Outer Cylinder, enter Torque on Outer Cylinder (T_o), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C) and hit the calculate button. Here is how the Dynamic Viscosity given Torque exerted on Outer Cylinder calculation can be explained with given input values -> 101.2526 = 7000000/(pi*pi*31.4159265342981*(12^4)/(60*0.0155)).

FAQ

What is Dynamic Viscosity given Torque exerted on Outer Cylinder?

The Dynamic Viscosity given Torque exerted on Outer Cylinder formula is defined as the resistance due to relative motion in fluid and is represented as μ = T_o/(pi*pi*Ω*(r₁^4)/(60*C)) or Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)). The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate, The Angular Speed refers to the rate of change of angular displacement, The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement & The Clearance refers to the gap or space between two surfaces adjacent to each other.

How to calculate Dynamic Viscosity given Torque exerted on Outer Cylinder?

The Dynamic Viscosity given Torque exerted on Outer Cylinder formula is defined as the resistance due to relative motion in fluid is calculated using Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)). To calculate Dynamic Viscosity given Torque exerted on Outer Cylinder, you need Torque on Outer Cylinder (T_o), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C). With our tool, you need to enter the respective value for Torque on Outer Cylinder, Angular Speed, Radius of Inner Cylinder & Clearance 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Torque on Outer Cylinder, Angular Speed, Radius of Inner Cylinder & Clearance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (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*Height of Cylinder*Angular Speed)
Dynamic Viscosity = Total Torque/(Viscometer Constant*Angular Speed)

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