Torque exerted on Outer Cylinder Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Angular Speed is defined as the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+10% -10%
✖Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement.ⓘ Radius of Inner Cylinder [r₁]			+10% -10%
✖Clearance is the gap or space between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%

✖Torque on Outer Cylinder is torque on cylinder from the external shaft.ⓘ Torque exerted on Outer Cylinder [T_o]

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Formula

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Torque exerted on Outer Cylinder

Formula

`"T"_{"o"} = "μ"_{"viscosity"}*pi*pi*"Ω"*("r"_{"1"}^4)/(60*"C")`

Example

`"7051.667kN*m"="10.2P"*pi*pi*"5rev/s"*(("12m")^4)/(60*"15.5mm")`

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Torque exerted on Outer Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Torque on Outer Cylinder - (Measured in Newton Meter) - Torque on Outer 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.
Angular Speed - (Measured in Radian per Second) - Angular Speed is defined as the rate of change of angular displacement.
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.
Clearance - (Measured in Meter) - Clearance is the gap or space between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

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)
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

T_o = μ_viscosity*pi*pi*Ω*(r₁^4)/(60*C) --> 1.02*pi*pi*31.4159265342981*(12^4)/(60*0.0155)

Evaluating ... ...

T_o = 7051667.48681887

STEP 3: Convert Result to Output's Unit

7051667.48681887 Newton Meter -->7051.66748681887 Kilonewton Meter (Check conversion here)

FINAL ANSWER

7051.66748681887 ≈ 7051.667 Kilonewton Meter <-- Torque on Outer Cylinder

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 Outer Cylinder Formula

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

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 Outer Cylinder?

Torque exerted on Outer Cylinder calculator uses Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance) to calculate the Torque on Outer Cylinder, The Torque exerted on Outer Cylinder is defined as the torque acting on the smaller cylinder of smaller radius in coaxial system. Torque on Outer Cylinder is denoted by T_o symbol.

How to calculate Torque exerted on Outer Cylinder using this online calculator? To use this online calculator for Torque exerted on Outer Cylinder, enter Dynamic Viscosity (μ_viscosity), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C) and hit the calculate button. Here is how the Torque exerted on Outer Cylinder calculation can be explained with given input values -> 7.051667 = 1.02*pi*pi*31.4159265342981*(12^4)/(60*0.0155).

FAQ

What is Torque exerted on Outer Cylinder?

The Torque exerted on Outer Cylinder is defined as the torque acting on the smaller cylinder of smaller radius in coaxial system and is represented as T_o = μ_viscosity*pi*pi*Ω*(r₁^4)/(60*C) or Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Angular Speed is defined as the rate of change of angular displacement, Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement & Clearance is the gap or space between two surfaces adjacent to each other.

How to calculate Torque exerted on Outer Cylinder?

The Torque exerted on Outer Cylinder is defined as the torque acting on the smaller cylinder of smaller radius in coaxial system is calculated using Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance). To calculate Torque exerted on Outer Cylinder, you need Dynamic Viscosity (μ_viscosity), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Clearance (C). With our tool, you need to enter the respective value for Dynamic Viscosity, 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.

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