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External or Outer Radius of Collar for Total Torque Formula

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The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar. Check FAQs

R 1 = {({R 2}^{4} + \frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

R₁ - Outer Radius of Collar?R₂ - Inner Radius of Collar?τ - Torque Exerted on Wheel?t - Thickness of Oil Film?μ - Viscosity of Fluid?N - Mean Speed in RPM?π - Archimedes' constant?

External or Outer Radius of Collar for Total Torque Example

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Here is how the External or Outer Radius of Collar for Total Torque equation looks like with Values.

Here is how the External or Outer Radius of Collar for Total Torque equation looks like with Units.

Here is how the External or Outer Radius of Collar for Total Torque equation looks like.

3.5562 = {({0.68}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

3.5562m = {({0.68m}^{4} + \frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

3.5562 = {({0.68}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

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External or Outer Radius of Collar for Total Torque Solution

Follow our step by step solution on how to calculate External or Outer Radius of Collar for Total Torque?

FIRST Step Consider the formula

R 1 = {({R 2}^{4} + \frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

R 1 = {({0.68m}^{4} + \frac{50N*m \cdot 4.6232m}{π^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

R 1 = {({0.68m}^{4} + \frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

Next Step Convert Units

∴

R 1 = {({0.68m}^{4} + \frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23Pa*s \cdot 0.0178Hz})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

R 1 = {({0.68}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 0.0178})}^{\frac{1}{4}}

Next Step Evaluate

∴

R 1 = 3.55617800262481m

LAST Step Rounding Answer

∴

R 1 = 3.5562m

External or Outer Radius of Collar for Total Torque Formula Elements

Variables

Constants

Outer Radius of Collar

The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Collar

Inner Radius of Collar

The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Collar

Torque Exerted on Wheel

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.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

Thickness of Oil Film

Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Oil Film

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Mean Speed in RPM

Mean Speed in RPM is an average of individual vehicle speeds.

Symbol: N

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Mean Speed in RPM

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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Go Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

d o = \frac{2 \cdot r}{\sqrt{1 - \frac{V}{V m}}}

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

L = \frac{Δp \cdot t^{2}}{12 \cdot μ \cdot V}

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

L = \frac{ρ \cdot [g] \cdot h f \cdot t^{2}}{12 \cdot μ \cdot V}

Go Diameter of Shaft for Torque Required in Foot-Step Bearing

D s = 2 \cdot {(\frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

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

External or Outer Radius of Collar for Total Torque evaluator 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 evaluate 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 evaluate External or Outer Radius of Collar for Total Torque using this online evaluator? To use this online evaluator 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.

FAQs on External or Outer Radius of Collar for Total Torque

What is the formula to find External or Outer Radius of Collar for Total Torque?

The formula of External or Outer Radius of Collar for Total Torque is expressed as 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). Here is an example- 3.556178 = (0.68^4+(49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4).

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

With Inner Radius of Collar (R₂), Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) we can find External or Outer Radius of Collar for Total Torque using the 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). This formula also uses Archimedes' constant .

Can the External or Outer Radius of Collar for Total Torque be negative?

Yes, the External or Outer Radius of Collar for Total Torque, measured in Length can be negative.

Which unit is used to measure External or Outer Radius of Collar for Total Torque?

External or Outer Radius of Collar for Total Torque is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which External or Outer Radius of Collar for Total Torque can be measured.

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External or Outer Radius of Collar for Total Torque Formula

External or Outer Radius of Collar for Total Torque Example

External or Outer Radius of Collar for Total Torque Solution

External or Outer Radius of Collar for Total Torque Formula Elements

Other formulas in Dimensions and Geometry category

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

FAQs on External or Outer Radius of Collar for Total Torque

Variable Name