Speed of Outer Cylinder given Total Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Ω = ΤTorque/(Vc*μviscosity)
This formula uses 4 Variables
Variables Used
Angular Speed - (Measured in Radian per Second) - Angular Speed is defined as the rate of change of angular displacement.
Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Viscometer Constant - Viscometer Constant is a material and dimensional constant for coaxial cylinder viscometer.
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.
STEP 1: Convert Input(s) to Base Unit
Total Torque: 320 Newton Meter --> 320 Newton Meter No Conversion Required
Viscometer Constant: 10.1 --> No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ω = ΤTorque/(Vcviscosity) --> 320/(10.1*1.02)
Evaluating ... ...
Ω = 31.061929722384
STEP 3: Convert Result to Output's Unit
31.061929722384 Radian per Second -->4.94365965754222 Revolution per Second (Check conversion here)
FINAL ANSWER
4.94365965754222 4.94366 Revolution per Second <-- Angular Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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

Speed of Outer Cylinder given Total Torque Formula

Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Ω = ΤTorque/(Vc*μviscosity)

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 Speed of Outer Cylinder given Total Torque?

Speed of Outer Cylinder given Total Torque calculator uses Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity) to calculate the Angular Speed, The Speed of Outer Cylinder given Total Torque is defined as the speed of cylinder in revolutions per minutes. Angular Speed is denoted by Ω symbol.

How to calculate Speed of Outer Cylinder given Total Torque using this online calculator? To use this online calculator for Speed of Outer Cylinder given Total Torque, enter Total Torque Torque), Viscometer Constant (Vc) & Dynamic Viscosity viscosity) and hit the calculate button. Here is how the Speed of Outer Cylinder given Total Torque calculation can be explained with given input values -> 0.786808 = 320/(10.1*1.02).

FAQ

What is Speed of Outer Cylinder given Total Torque?
The Speed of Outer Cylinder given Total Torque is defined as the speed of cylinder in revolutions per minutes and is represented as Ω = ΤTorque/(Vcviscosity) or Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity). Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics, Viscometer Constant is a material and dimensional constant for coaxial cylinder viscometer & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
How to calculate Speed of Outer Cylinder given Total Torque?
The Speed of Outer Cylinder given Total Torque is defined as the speed of cylinder in revolutions per minutes is calculated using Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity). To calculate Speed of Outer Cylinder given Total Torque, you need Total Torque Torque), Viscometer Constant (Vc) & Dynamic Viscosity viscosity). With our tool, you need to enter the respective value for Total Torque, Viscometer Constant & Dynamic Viscosity 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 Angular Speed?
In this formula, Angular Speed uses Total Torque, Viscometer Constant & Dynamic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)))
  • 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)
  • Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))
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