Speed of Outer Cylinder given Total Torque Calculator

✖The Total Torque refers to the measure of the force that can cause an object to rotate about an axis.ⓘ Total Torque [Τ_Torque]			+10% -10%
✖The Viscometer Constant refers to the material and dimensional constant for coaxial cylinder viscometer.ⓘ Viscometer Constant [V_c]			+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.ⓘ Speed of Outer Cylinder given Total Torque [Ω]

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Speed of Outer Cylinder given Total Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Ω = Τ_Torque/(V_c*μ)
This formula uses 4 Variables

Variables Used

Angular Speed - (Measured in Radian per Second) - The Angular Speed refers to the rate of change of angular displacement.
Total Torque - (Measured in Newton Meter) - The Total Torque refers to the measure of the force that can cause an object to rotate about an axis.
Viscometer Constant - The Viscometer Constant refers to the material and dimensional constant for coaxial cylinder viscometer.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 = Τ_Torque/(V_c*μ) --> 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)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Speed of Outer Cylinder given Total Torque Formula

LaTeX Go

Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Ω = Τ_Torque/(V_c*μ)

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 formula 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 (Τ_Torque), Viscometer Constant (V_c) & Dynamic Viscosity (μ) 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 formula is defined as the speed of cylinder in revolutions per minutes and is represented as Ω = Τ_Torque/(V_c*μ) or Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity). The Total Torque refers to the measure of the force that can cause an object to rotate about an axis, The Viscometer Constant refers to the material and dimensional constant for coaxial cylinder viscometer & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Speed of Outer Cylinder given Total Torque?

The Speed of Outer Cylinder given Total Torque formula 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 (Τ_Torque), Viscometer Constant (V_c) & Dynamic Viscosity (μ). 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 of Cylinder*Dynamic Viscosity)
Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))

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