External or Outer Radius of Collar for Total Torque Calculator

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✖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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Formula

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External or Outer Radius of Collar for Total Torque

Formula

`"R"_{"1"} = ("R"_{"2"}^4+("τ"*"t")/(pi^2*"μ"*"N"))^(1/4)`

Example

`"1.703509m"=(("0.68m")^4+("50N*m"*"1.2m")/(pi^2*"8.23N*s/m²"*"5.4rev/min"))^(1/4)`

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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: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Thickness of Oil Film: 1.2 Meter --> 1.2 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: 5.4 Revolution per Minute --> 0.09 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+(50*1.2)/(pi^2*8.23*0.09))^(1/4)

Evaluating ... ...

R₁ = 1.70350942353443

STEP 3: Convert Result to Output's Unit

1.70350942353443 Meter --> No Conversion Required

FINAL ANSWER

1.70350942353443 ≈ 1.703509 Meter <-- Outer Radius of Collar

(Calculation completed in 00.020 seconds)

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< 19 Dimensions and Geometry Calculators

Radius of Capillary Tube

Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)

Length of Tube in Capillary Tube Method

Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)

Diameter of Pipe for Loss of Pressure Head in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Length of Pipe for Loss of Pressure Head in Viscous Flow

Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)

External or Outer Radius of Collar for Total Torque

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)

Internal or Inner Radius of Collar for Total Torque

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

Diameter of Pipe for Difference in Pressure in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))

Thickness of Oil Film for Shear Force in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)

Diameter of Pipe for Head Loss due to Friction in Viscous Flow

Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

Length of Pipe for Head Loss due to Friction in Viscous Flow

Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Diameter of Shaft for Torque Required in Foot-Step Bearing

Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Thickness of Oil Film for Torque required in Foot-Step Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel

Length of Pipe for Difference of Pressure in Viscous Flow

Go Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)

Diameter of Sphere in Falling Sphere Resistance Method

Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

External or Outer Radius of Collar for Total Torque Formula

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, The External or outer radius of collar for total torque formula is known while considering the viscosity of the fluid, the inner radius of the collar, the thickness of the oil film, the torque required to overcome viscous resistance, and the rotational speed. 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 -> 1.703509 = (0.68^4+(50*1.2)/(pi^2*8.23*0.09))^(1/4).

FAQ

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

The External or outer radius of collar for total torque formula is known while considering the viscosity of the fluid, the inner radius of the collar, the thickness of the oil film, the torque required to overcome viscous resistance, and the rotational speed 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?

The External or outer radius of collar for total torque formula is known while considering the viscosity of the fluid, the inner radius of the collar, the thickness of the oil film, the torque required to overcome viscous resistance, and the rotational speed 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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