External or Outer Radius of Collar for Total Torque Calculator

✖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%
✖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%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%

✖The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.ⓘ External or Outer Radius of Collar for Total Torque [R₁]

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External or Outer Radius of Collar for Total Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.

STEP 1: Convert Input(s) to Base Unit

Inner Radius of Collar: 0.68 Meter --> 0.68 Meter No Conversion Required
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)
Mean Speed in RPM: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = (R₂^4+(τ*t)/(pi^2*μ*N))^(1/4) --> (0.68^4+(49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4)

Evaluating ... ...

R₁ = 3.55617800262481

STEP 3: Convert Result to Output's Unit

3.55617800262481 Meter --> No Conversion Required

FINAL ANSWER

3.55617800262481 ≈ 3.556178 Meter <-- Outer Radius of Collar

(Calculation completed in 00.004 seconds)

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< Dimensions and Geometry Calculators

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External or Outer Radius of Collar for Total Torque Formula

LaTeX Go

Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
R₁ = (R₂^4+(τ*t)/(pi^2*μ*N))^(1/4)

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 viscous resistance?

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

How to Calculate External or Outer Radius of Collar for Total Torque?

External or Outer Radius of Collar for Total Torque calculator uses Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4) to calculate the Outer Radius of Collar, External or Outer Radius of Collar for Total Torque can be determined using a formula that relates it to the applied torque, the shaft radius, and the coefficient of friction between the collar and the shaft. This calculation ensures that the collar can effectively transmit the applied torque without slipping, based on the contact mechanics and torque transmission principles. Outer Radius of Collar is denoted by R₁ symbol.

How to calculate External or Outer Radius of Collar for Total Torque using this online calculator? To use this online calculator for External or Outer Radius of Collar for Total Torque, enter Inner Radius of Collar (R₂), Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) and hit the calculate button. Here is how the External or Outer Radius of Collar for Total Torque calculation can be explained with given input values -> 3.556178 = (0.68^4+(49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4).

FAQ

What is External or Outer Radius of Collar for Total Torque?

External or Outer Radius of Collar for Total Torque can be determined using a formula that relates it to the applied torque, the shaft radius, and the coefficient of friction between the collar and the shaft. This calculation ensures that the collar can effectively transmit the applied torque without slipping, based on the contact mechanics and torque transmission principles and is represented as R₁ = (R₂^4+(τ*t)/(pi^2*μ*N))^(1/4) or Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar, 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 & Mean Speed in RPM is an average of individual vehicle speeds.

How to calculate External or Outer Radius of Collar for Total Torque?

External or Outer Radius of Collar for Total Torque can be determined using a formula that relates it to the applied torque, the shaft radius, and the coefficient of friction between the collar and the shaft. This calculation ensures that the collar can effectively transmit the applied torque without slipping, based on the contact mechanics and torque transmission principles is calculated using Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). To calculate External or Outer Radius of Collar for Total Torque, you need Inner Radius of Collar (R₂), Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N). With our tool, you need to enter the respective value for Inner Radius of Collar, Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid & Mean Speed in RPM 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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