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*Angular Speed))
T = μviscosity/((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) - Torque on Inner Cylinder is torque on cylinder from the external shaft.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Radius of Outer Cylinder - (Measured in Meter) - Radius of Outer Cylinder is the spacing for measuring fluid viscosity based on inner cylinder rotation.
Radius of Inner Cylinder - (Measured in Meter) - Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Angular Speed - (Measured in Radian per Second) - Angular Speed is defined as 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: 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 = μviscosity/((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 00.020 seconds)

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20 Coaxial Cylinder Viscometers Calculators

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid
Go 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*Angular Speed))
Speed of Outer Cylinder given Dynamic Viscosity of Fluid
Go Angular Speed = (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*Dynamic Viscosity)
Height of Cylinder given Dynamic Viscosity of Fluid
Go Height = (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)
Dynamic Viscosity of Fluid Flow given Torque
Go 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*Angular Speed)
Radius of Inner Cylinder given Velocity Gradient
Go 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 given Torque exerted on Outer Cylinder
Go Radius of Inner Cylinder = (Torque on Outer Cylinder/(Dynamic Viscosity*pi*pi*Angular Speed/(60*Clearance)))^(1/4)
Speed of Outer Cylinder given Torque exerted on Outer Cylinder
Go Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))
Dynamic Viscosity given Torque exerted on Outer Cylinder
Go Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
Clearance given Torque exerted on Outer Cylinder
Go Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder)
Torque exerted on Outer Cylinder
Go Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)
Speed of Outer Cylinder given Velocity Gradient
Go Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)))
Velocity Gradients
Go Velocity Gradient = pi*Radius of Outer Cylinder*Angular Speed/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder))
Radius of Outer Cylinder given Velocity Gradient
Go Radius of Outer Cylinder = (30*Velocity Gradient*Radius of Inner Cylinder)/(30*Velocity Gradient-pi*Angular Speed)
Radius of Inner Cylinder given Torque exerted on Inner Cylinder
Go Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height*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)
Height of Cylinder given Torque exerted on Inner Cylinder
Go Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)
Speed of Outer Cylinder given Total Torque
Go Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Dynamic Viscosity given Total Torque
Go Dynamic Viscosity = Total Torque/(Viscometer Constant*Angular Speed)
Torque exerted on Inner Cylinder
Go Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress
Total Torque
Go Total Torque = Viscometer Constant*Dynamic Viscosity*Angular Speed

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid Formula

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*Angular Speed))
T = μviscosity/((15*(r2-r1))/(pi*pi*r1*r1*r2*h*Ω))

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*Angular Speed)) to calculate the Torque on Inner Cylinder, The Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid 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 viscosity), Radius of Outer Cylinder (r2), Radius of Inner Cylinder (r1), Height (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 is defined as the rotation with which coaxial cylinder is rotating and is represented as T = μviscosity/((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*Angular Speed)). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Radius of Outer Cylinder is the spacing for measuring fluid viscosity based on inner cylinder rotation, Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement, Height is the distance between the lowest and highest points of a person/ shape/ object standing upright & Angular Speed is defined as 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 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*Angular Speed)). To calculate Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid, you need Dynamic Viscosity viscosity), Radius of Outer Cylinder (r2), Radius of Inner Cylinder (r1), Height (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 & 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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