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Power Absorbed in Collar Bearing Formula

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Power Absorbed in Collar Bearing refers to the amount of power or energy consumed or taken in by a device, system, or component. Check FAQs

P' = \frac{2 \cdot μ \cdot π^{3} \cdot N^{2} \cdot ({R 1}^{4} - {R 2}^{4})}{t}

P' - Power Absorbed in Collar Bearing?μ - Viscosity of Fluid?N - Mean Speed in RPM?R₁ - Outer Radius of Collar?R₂ - Inner Radius of Collar?t - Thickness of Oil Film?π - Archimedes' constant?

Power Absorbed in Collar Bearing Example

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Here is how the Power Absorbed in Collar Bearing equation looks like with Values.

Here is how the Power Absorbed in Collar Bearing equation looks like with Units.

Here is how the Power Absorbed in Collar Bearing equation looks like.

5.8829 = \frac{2 \cdot 8.23 \cdot {3.1416}^{3} \cdot {1.0691}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}{4.6232}

5.8829W = \frac{2 \cdot 8.23N*s/m² \cdot {3.1416}^{3} \cdot {1.0691rev/min}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}{4.6232m}

5.8829 = \frac{2 \cdot 8.23 \cdot {3.1416}^{3} \cdot {1.0691}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}{4.6232}

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Power Absorbed in Collar Bearing Solution

Follow our step by step solution on how to calculate Power Absorbed in Collar Bearing?

FIRST Step Consider the formula

P' = \frac{2 \cdot μ \cdot π^{3} \cdot N^{2} \cdot ({R 1}^{4} - {R 2}^{4})}{t}

Next Step Substitute values of Variables

∴

P' = \frac{2 \cdot 8.23N*s/m² \cdot π^{3} \cdot {1.0691rev/min}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}{4.6232m}

Next Step Substitute values of Constants

∴

P' = \frac{2 \cdot 8.23N*s/m² \cdot {3.1416}^{3} \cdot {1.0691rev/min}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}{4.6232m}

Next Step Convert Units

∴

P' = \frac{2 \cdot 8.23Pa*s \cdot {3.1416}^{3} \cdot {0.0178Hz}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}{4.6232m}

Next Step Prepare to Evaluate

∴

P' = \frac{2 \cdot 8.23 \cdot {3.1416}^{3} \cdot {0.0178}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}{4.6232}

Next Step Evaluate

∴

P' = 5.88288932671326W

LAST Step Rounding Answer

∴

P' = 5.8829W

Power Absorbed in Collar Bearing Formula Elements

Variables

Constants

Power Absorbed in Collar Bearing

Power Absorbed in Collar Bearing refers to the amount of power or energy consumed or taken in by a device, system, or component.

Symbol: P'

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Absorbed in Collar Bearing

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

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

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

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

Other formulas in Flow Analysis category

Go Difference of Pressure for Viscous or Laminar Flow

Δp = \frac{32 \cdot μ \cdot v a \cdot L}{{d o}^{2}}

Go Difference of Pressure for Viscous Flow between Two Parallel Plates

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

Go Loss of Pressure Head for Viscous Flow through Circular Pipe

h f = \frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot {D p}^{2}}

Go Loss of Pressure Head for Viscous Flow between Two Parallel Plates

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

How to Evaluate Power Absorbed in Collar Bearing?

Power Absorbed in Collar Bearing evaluator uses Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film to evaluate the Power Absorbed in Collar Bearing, Power Absorbed in Collar Bearing depends on the frictional force, the angular velocity of the shaft, and the radius of the collar. It is directly proportional to the frictional force (which is a product of the normal load and the coefficient of friction) and the radius of the collar, as well as the angular velocity of the rotating shaft. Power Absorbed in Collar Bearing is denoted by P' symbol.

How to evaluate Power Absorbed in Collar Bearing using this online evaluator? To use this online evaluator for Power Absorbed in Collar Bearing, enter Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R₁), Inner Radius of Collar (R₂) & Thickness of Oil Film (t) and hit the calculate button.

FAQs on Power Absorbed in Collar Bearing

What is the formula to find Power Absorbed in Collar Bearing?

The formula of Power Absorbed in Collar Bearing is expressed as Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film. Here is an example- 0.285225 = (2*8.23*pi^3*0.0178179333333333^2*(3.600579^4-0.68^4))/4.623171.

How to calculate Power Absorbed in Collar Bearing?

With Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R₁), Inner Radius of Collar (R₂) & Thickness of Oil Film (t) we can find Power Absorbed in Collar Bearing using the formula - Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film. This formula also uses Archimedes' constant .

Can the Power Absorbed in Collar Bearing be negative?

No, the Power Absorbed in Collar Bearing, measured in Power cannot be negative.

Which unit is used to measure Power Absorbed in Collar Bearing?

Power Absorbed in Collar Bearing is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Absorbed in Collar Bearing can be measured.

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Power Absorbed in Collar Bearing Formula

Power Absorbed in Collar Bearing Example

Power Absorbed in Collar Bearing Solution

Power Absorbed in Collar Bearing Formula Elements

Other formulas in Flow Analysis category

How to Evaluate Power Absorbed in Collar Bearing?

FAQs on Power Absorbed in Collar Bearing

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