Height of Cylinder given Dynamic Viscosity of Fluid 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 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Angular Speed refers to the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+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 Dynamic Viscosity of Fluid [h]

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Height of Cylinder given Dynamic Viscosity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*μ*Ω)
This formula uses 1 Constants, 6 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 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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

Torque on Inner Cylinder: 500 Kilonewton Meter --> 500000 Newton Meter (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
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*μ*Ω) --> (15*500000*(13-12))/(pi*pi*12*12*13*1.02*31.4159265342981)

Evaluating ... ...

h = 12.6679292494823

STEP 3: Convert Result to Output's Unit

12.6679292494823 Meter --> No Conversion Required

FINAL ANSWER

12.6679292494823 ≈ 12.66793 Meter <-- Height of Cylinder

(Calculation completed in 00.004 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

Height of Cylinder given Dynamic Viscosity of Fluid Formula

LaTeX Go

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 Height of Cylinder given Dynamic Viscosity of Fluid?

Height of Cylinder given Dynamic Viscosity of Fluid calculator uses 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) to calculate the Height of Cylinder, The Height of Cylinder given Dynamic Viscosity of Fluid formula is defined as the total height of cylinder in rotation. Height of Cylinder is denoted by h symbol.

How to calculate Height of Cylinder given Dynamic Viscosity of Fluid using this online calculator? To use this online calculator for Height of Cylinder given Dynamic Viscosity of Fluid, enter Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Dynamic Viscosity (μ) & Angular Speed (Ω) and hit the calculate button. Here is how the Height of Cylinder given Dynamic Viscosity of Fluid calculation can be explained with given input values -> 12.66793 = (15*500000*(13-12))/(pi*pi*12*12*13*1.02*31.4159265342981).

FAQ

What is Height of Cylinder given Dynamic Viscosity of Fluid?

The Height of Cylinder given Dynamic Viscosity of Fluid formula is defined as the total height of cylinder in rotation and is represented as h = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*μ*Ω) or 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). 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 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Angular Speed refers to the rate of change of angular displacement.

How to calculate Height of Cylinder given Dynamic Viscosity of Fluid?

The Height of Cylinder given Dynamic Viscosity of Fluid formula is defined as the total height of cylinder in rotation is calculated using 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). To calculate Height of Cylinder given Dynamic Viscosity of Fluid, you need Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Dynamic Viscosity (μ) & Angular Speed (Ω). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Radius of Outer Cylinder, Radius of Inner Cylinder, Dynamic Viscosity & Angular Speed 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 Outer Cylinder, Radius of Inner Cylinder, Dynamic Viscosity & Angular Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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