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Internal or Inner Radius of Collar for Total Torque Formula

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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. Check FAQs

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

R₂ - Inner Radius of Collar?R₁ - Outer 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?

Internal or Inner Radius of Collar for Total Torque Example

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

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

Here is how the Internal or Inner Radius of Collar for Total Torque equation looks like.

4.255 = {({3.6006}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

4.255m = {({3.6006m}^{4} + \frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

4.255 = {({3.6006}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

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Internal or Inner Radius of Collar for Total Torque Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R 2 = {({3.6006m}^{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 2 = {({3.6006m}^{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 2 = {({3.6006m}^{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 2 = {({3.6006}^{4} + \frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 0.0178})}^{\frac{1}{4}}

Next Step Evaluate

∴

R 2 = 4.2549851387187m

LAST Step Rounding Answer

∴

R 2 = 4.255m

Internal or Inner Radius of Collar for Total Torque Formula Elements

Variables

Constants

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

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

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 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 Internal or Inner Radius of Collar for Total Torque?

Internal or Inner Radius of Collar for Total Torque evaluator uses 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) to evaluate the Inner Radius of Collar, Internal or Inner Radius of Collar for Total Torque can be determined using a formula that relates it to the applied torque, the material properties of the collar, and the stress distribution within the collar. This calculation ensures that the collar can effectively transmit and withstand the applied torque without exceeding its material limits. Inner Radius of Collar is denoted by R₂ symbol.

How to evaluate Internal or Inner Radius of Collar for Total Torque using this online evaluator? To use this online evaluator for Internal or Inner Radius of Collar for Total Torque, enter Outer Radius of Collar (R₁), 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 Internal or Inner Radius of Collar for Total Torque

What is the formula to find Internal or Inner Radius of Collar for Total Torque?

The formula of Internal or Inner Radius of Collar for Total Torque is expressed as 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). Here is an example- 3.600579 = (3.600579^4+(49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4).

How to calculate Internal or Inner Radius of Collar for Total Torque?

With Outer Radius of Collar (R₁), Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) we can find Internal or Inner Radius of Collar for Total Torque using the formula - 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). This formula also uses Archimedes' constant .

Can the Internal or Inner Radius of Collar for Total Torque be negative?

No, the Internal or Inner Radius of Collar for Total Torque, measured in Length cannot be negative.

Which unit is used to measure Internal or Inner Radius of Collar for Total Torque?

Internal or Inner 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 Internal or Inner Radius of Collar for Total Torque can be measured.

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Internal or Inner Radius of Collar for Total Torque Formula

Internal or Inner Radius of Collar for Total Torque Example

Internal or Inner Radius of Collar for Total Torque Solution

Internal or Inner Radius of Collar for Total Torque Formula Elements

Other formulas in Dimensions and Geometry category

How to Evaluate Internal or Inner Radius of Collar for Total Torque?

FAQs on Internal or Inner Radius of Collar for Total Torque

Variable Name