Torque Exerted on Outer Cylinder Calculator

✖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 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 Clearance refers to the gap or space between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%

✖The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque Exerted on Outer Cylinder [T_o]

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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*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) - The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.
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.
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.
Clearance - (Measured in Meter) - The Clearance refers to 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*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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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

Torque Exerted on Outer Cylinder Formula

LaTeX Go

Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)
T_o = μ*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 formula 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), 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 formula is defined as the torque acting on the smaller cylinder of smaller radius in coaxial system and is represented as T_o = μ*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 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, The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement & The Clearance refers to 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 formula 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), 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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