Torque on Cylinder given Radius, Length and Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)
T = (μviscosity*4*(pi^2)*(R^3)**LCylinder)/(fluid)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Radius of Inner Cylinder - (Measured in Meter) - The Radius of Inner Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Revolutions per Second - (Measured in Hertz) - Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.
Length of Cylinder - (Measured in Meter) - Length of cylinder is the vertical height of the cylinder.
Thickness of Fluid Layer - (Measured in Meter) - Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 1.02 Pascal Second --> 1.02 Pascal Second No Conversion Required
Radius of Inner Cylinder: 0.06 Meter --> 0.06 Meter No Conversion Required
Revolutions per Second: 5.3 Revolution per Second --> 5.3 Hertz (Check conversion here)
Length of Cylinder: 0.4 Meter --> 0.4 Meter No Conversion Required
Thickness of Fluid Layer: 0.0015 Meter --> 0.0015 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (μviscosity*4*(pi^2)*(R^3)*ṅ*LCylinder)/(ℓfluid) --> (1.02*4*(pi^2)*(0.06^3)*5.3*0.4)/(0.0015)
Evaluating ... ...
T = 12.2930107527834
STEP 3: Convert Result to Output's Unit
12.2930107527834 Newton Meter --> No Conversion Required
FINAL ANSWER
12.2930107527834 12.29301 Newton Meter <-- Torque
(Calculation completed in 00.004 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
Ayush gupta has created this Calculator and 300+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

25 Properties of Fluids Calculators

Water Flux Based on Solution Diffusion Model
Go Mass Water Flux = (Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume*(Membrane Pressure Drop-Osmotic Pressure))/([R]*Temperature*Membrane Layer Thickness)
Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder
Go Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer)
Height of Capillary Rise in Capillary Tube
Go Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube)
Torque on Cylinder given Radius, Length and Viscosity
Go Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)
Weight of Liquid Column in Capillary Tube
Go Weight of Liquid Column in Capillary = Density*[g]*pi*(Radius of Capillary Tube^2)*Height of Capillary Rise
Wetted Surface Area
Go Wetted Surface Area = 2*pi*Radius of Inner Cylinder*Length of Cylinder
Enthalpy given Flow Work
Go Enthalpy = Internal Energy+(Pressure/Density of Liquid)
Enthalpy given Specific Volume
Go Enthalpy = Internal Energy+(Pressure*Specific Volume)
Tangential Velocity given Angular Velocity
Go Tangential Velocity of Cylinder = Angular Velocity*Radius of Inner Cylinder
Angular Velocity given Revolution Per Unit Time
Go Angular Velocity = 2*pi*Revolutions per Second
Mach Number of Compressible Fluid Flow
Go Mach Number = Velocity of Fluid/Speed of Sound
Specific Gravity of Fluid given Density of Water
Go Specific Gravity = Density/Density of Water
Relative Density of Fluid
Go Relative Density = Density/Density of Water
Specific Total Energy
Go Specific Total Energy = Total Energy/Mass
Flow Work given Density
Go Flow Work = Pressure/Density of Liquid
Flow Work given Specific Volume
Go Flow Work = Pressure*Specific Volume
Shear Stress Acting on Fluid Layer
Go Shear Stress = Shear Force/Area
Shear Force given Shear Stress
Go Shear Force = Shear Stress*Area
Weight Density given Density
Go Specific Weight = Density*[g]
Specific Weight of Substance
Go Specific Weight = Density*[g]
Specific Volume of Fluid given Mass
Go Specific Volume = Volume/Mass
Coefficient of Volume Expansion for Ideal Gas
Go Coefficient of Volume Expansion = 1/(Absolute Temperature)
Volume Expansivity for Ideal Gas
Go Coefficient of Volume Expansion = 1/(Absolute Temperature)
Density of Fluid
Go Density = Mass/Volume
Specific Volume given Density
Go Specific Volume = 1/Density

Torque on Cylinder given Radius, Length and Viscosity Formula

Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)
T = (μviscosity*4*(pi^2)*(R^3)**LCylinder)/(fluid)

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What are the Applications of Fluid Dynamics?

Fluid Dynamics can be applied in the following ways: Fluid dynamics is used to calculate the forces acting upon the aeroplane. It is used to find the flow rates of material such as petroleum from pipelines. It can also be used in traffic engineering (traffic treated as continuous liquid flow).

How to Calculate Torque on Cylinder given Radius, Length and Viscosity?

Torque on Cylinder given Radius, Length and Viscosity calculator uses Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer) to calculate the Torque, The Torque on Cylinder given Radius, Length and Viscosity formula is defined as the function of dynamic viscosity, radius of inner cylinder, revolutions per second, length of cylinder and thickness of fluid layer. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity. Torque is denoted by T symbol.

How to calculate Torque on Cylinder given Radius, Length and Viscosity using this online calculator? To use this online calculator for Torque on Cylinder given Radius, Length and Viscosity, enter Dynamic Viscosity viscosity), Radius of Inner Cylinder (R), Revolutions per Second (ṅ), Length of Cylinder (LCylinder) & Thickness of Fluid Layer (ℓfluid) and hit the calculate button. Here is how the Torque on Cylinder given Radius, Length and Viscosity calculation can be explained with given input values -> 12.29301 = (1.02*4*(pi^2)*(0.06^3)*5.3*0.4)/(0.0015).

FAQ

What is Torque on Cylinder given Radius, Length and Viscosity?
The Torque on Cylinder given Radius, Length and Viscosity formula is defined as the function of dynamic viscosity, radius of inner cylinder, revolutions per second, length of cylinder and thickness of fluid layer. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity and is represented as T = (μviscosity*4*(pi^2)*(R^3)*ṅ*LCylinder)/(ℓfluid) or Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer). Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, The Radius of Inner Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit, Length of cylinder is the vertical height of the cylinder & Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated.
How to calculate Torque on Cylinder given Radius, Length and Viscosity?
The Torque on Cylinder given Radius, Length and Viscosity formula is defined as the function of dynamic viscosity, radius of inner cylinder, revolutions per second, length of cylinder and thickness of fluid layer. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity is calculated using Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer). To calculate Torque on Cylinder given Radius, Length and Viscosity, you need Dynamic Viscosity viscosity), Radius of Inner Cylinder (R), Revolutions per Second (ṅ), Length of Cylinder (LCylinder) & Thickness of Fluid Layer (ℓfluid). With our tool, you need to enter the respective value for Dynamic Viscosity, Radius of Inner Cylinder, Revolutions per Second, Length of Cylinder & Thickness of Fluid Layer 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 Torque?
In this formula, Torque uses Dynamic Viscosity, Radius of Inner Cylinder, Revolutions per Second, Length of Cylinder & Thickness of Fluid Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!