Torque Required to Overcome Viscous Resistance in Collar Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film
τ = (μ*pi^2*N*(R1^4-R2^4))/t
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel 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.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Outer Radius of Collar - (Measured in Meter) - The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.
Inner Radius of Collar - (Measured in Meter) - The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.
Thickness of Oil Film - (Measured in Meter) - Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
STEP 1: Convert Input(s) to Base Unit
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion ​here)
Mean Speed in RPM: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion ​here)
Outer Radius of Collar: 3.600579 Meter --> 3.600579 Meter No Conversion Required
Inner Radius of Collar: 0.68 Meter --> 0.68 Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = (μ*pi^2*N*(R1^4-R2^4))/t --> (8.23*pi^2*0.0178179333333333*(3.600579^4-0.68^4))/4.623171
Evaluating ... ...
τ = 52.547671971439
STEP 3: Convert Result to Output's Unit
52.547671971439 Newton Meter --> No Conversion Required
FINAL ANSWER
52.547671971439 52.54767 Newton Meter <-- Torque Exerted on Wheel
(Calculation completed in 00.004 seconds)

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​ LaTeX ​ Go Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe)
Shear Force or Viscous Resistance in Journal Bearing
​ LaTeX ​ Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)
Shear Stress in Fluid or Oil of Journal Bearing
​ LaTeX ​ Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
Drag Force in Falling Sphere Resistance Method
​ LaTeX ​ Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Torque Required to Overcome Viscous Resistance in Collar Bearing Formula

​LaTeX ​Go
Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film
τ = (μ*pi^2*N*(R1^4-R2^4))/t

What is viscous resistance of collar bearing?

A collar bearing is provided at any position along the shaft and bears the axial load on a mating surface. The surface of the collar may be plane normal to the shaft or of conical shape. The face of the collar will be separated from the bearing surface by an oil film of uniform thickness.

What is viscous resistance?

The effect of surface friction between a particle and a liquid when the particle moves through the liquid.

How to Calculate Torque Required to Overcome Viscous Resistance in Collar Bearing?

Torque Required to Overcome Viscous Resistance in Collar Bearing calculator uses Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film to calculate the Torque Exerted on Wheel, Torque Required to Overcome Viscous Resistance in Collar Bearing is the force needed to counteract the friction caused by the fluid between the collar and the bearing surface. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Torque Required to Overcome Viscous Resistance in Collar Bearing using this online calculator? To use this online calculator for Torque Required to Overcome Viscous Resistance in Collar Bearing, enter Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R1), Inner Radius of Collar (R2) & Thickness of Oil Film (t) and hit the calculate button. Here is how the Torque Required to Overcome Viscous Resistance in Collar Bearing calculation can be explained with given input values -> 2.54771 = (8.23*pi^2*0.0178179333333333*(3.600579^4-0.68^4))/4.623171.

FAQ

What is Torque Required to Overcome Viscous Resistance in Collar Bearing?
Torque Required to Overcome Viscous Resistance in Collar Bearing is the force needed to counteract the friction caused by the fluid between the collar and the bearing surface and is represented as τ = (μ*pi^2*N*(R1^4-R2^4))/t or Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film. The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Mean Speed in RPM is an average of individual vehicle speeds, The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar, The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar & Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
How to calculate Torque Required to Overcome Viscous Resistance in Collar Bearing?
Torque Required to Overcome Viscous Resistance in Collar Bearing is the force needed to counteract the friction caused by the fluid between the collar and the bearing surface is calculated using Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film. To calculate Torque Required to Overcome Viscous Resistance in Collar Bearing, you need Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R1), Inner Radius of Collar (R2) & Thickness of Oil Film (t). With our tool, you need to enter the respective value for Viscosity of Fluid, Mean Speed in RPM, Outer Radius of Collar, Inner Radius of Collar & Thickness of Oil Film 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 Exerted on Wheel?
In this formula, Torque Exerted on Wheel uses Viscosity of Fluid, Mean Speed in RPM, Outer Radius of Collar, Inner Radius of Collar & Thickness of Oil Film. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Torque Exerted on Wheel = Shear Force*Shaft Diameter/2
  • Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)
  • Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film
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