Rotational Speed for Torque Required in Collar Bearing Calculator

✖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.ⓘ Torque Exerted on Wheel [τ]			+10% -10%
✖Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.ⓘ Thickness of Oil Film [t]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.ⓘ Outer Radius of Collar [R₁]			+10% -10%
✖The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.ⓘ Inner Radius of Collar [R₂]			+10% -10%

✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Rotational Speed for Torque Required in Collar Bearing [N]

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Rotational Speed for Torque Required in Collar Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))
N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
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.
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.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
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.

STEP 1: Convert Input(s) to Base Unit

Torque Exerted on Wheel: 49.99999 Newton Meter --> 49.99999 Newton Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4)) --> (49.99999*4.623171)/(8.23*pi^2*(3.600579^4-0.68^4))

Evaluating ... ...

N = 0.0169540619986278

STEP 3: Convert Result to Output's Unit

0.0169540619986278 Hertz -->1.01724371991767 Revolution per Minute (Check conversion here)

FINAL ANSWER

1.01724371991767 ≈ 1.017244 Revolution per Minute <-- Mean Speed in RPM

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Fluid Flow and Resistance » Rotational Speed for Torque Required in Collar Bearing

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Rotational Speed for Torque Required in Collar Bearing Formula

LaTeX Go

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

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 a collar bearing?

A Collar Bearing is a type of Thrust Bearing. In thrust bearings, the load acts along the axis of the shaft as in Turbine shafts. The collar bearings usually have single or multiple numbers of collars depending upon the application.

How to Calculate Rotational Speed for Torque Required in Collar Bearing?

Rotational Speed for Torque Required in Collar Bearing calculator uses Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)) to calculate the Mean Speed in RPM, The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance. Mean Speed in RPM is denoted by N symbol.

How to calculate Rotational Speed for Torque Required in Collar Bearing using this online calculator? To use this online calculator for Rotational Speed for Torque Required in Collar Bearing, enter Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂) and hit the calculate button. Here is how the Rotational Speed for Torque Required in Collar Bearing calculation can be explained with given input values -> 1258.867 = (49.99999*4.623171)/(8.23*pi^2*(3.600579^4-0.68^4)).

FAQ

What is Rotational Speed for Torque Required in Collar Bearing?

The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance and is represented as N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4)) or Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)). 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, Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil, The Viscosity of fluid is a measure of its resistance to deformation at a given rate, 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.

How to calculate Rotational Speed for Torque Required in Collar Bearing?

The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance is calculated using Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)). To calculate Rotational Speed for Torque Required in Collar Bearing, you need Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂). With our tool, you need to enter the respective value for Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid, Outer Radius of Collar & Inner Radius of Collar 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 Mean Speed in RPM?

In this formula, Mean Speed in RPM uses Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid, Outer Radius of Collar & Inner Radius of Collar. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

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