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Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Formula

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Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal. Check FAQs

ψ = 2 \cdot π^{2} \cdot (\frac{μ viscosity}{μ friction}) \cdot (\frac{N}{P})

ψ - Diametrical Clearance Ratio or Relative Clearance?μ_viscosity - Dynamic Viscosity?μ_friction - Coefficient of Friction?N - Shaft Speed?P - Load per Projected Area of Bearing?π - Archimedes' constant?

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Example

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Here is how the Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton equation looks like with Values.

Here is how the Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton equation looks like with Units.

Here is how the Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton equation looks like.

0.0034 = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2}{0.4}) \cdot (\frac{10}{0.15})

0.0034 = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.15MPa})

0.0034 = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2}{0.4}) \cdot (\frac{10}{0.15})

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Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Solution

Follow our step by step solution on how to calculate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

FIRST Step Consider the formula

ψ = 2 \cdot π^{2} \cdot (\frac{μ viscosity}{μ friction}) \cdot (\frac{N}{P})

Next Step Substitute values of Variables

∴

ψ = 2 \cdot π^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.15MPa})

Next Step Substitute values of Constants

∴

ψ = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.15MPa})

Next Step Convert Units

∴

ψ = 2 \cdot {3.1416}^{2} \cdot (\frac{1.02Pa*s}{0.4}) \cdot (\frac{10Hz}{150000Pa})

Next Step Prepare to Evaluate

∴

ψ = 2 \cdot {3.1416}^{2} \cdot (\frac{1.02}{0.4}) \cdot (\frac{10}{150000})

Next Step Evaluate

∴

ψ = 0.00335566549637038

LAST Step Rounding Answer

∴

ψ = 0.0034

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Formula Elements

Variables

Constants

Diametrical Clearance Ratio or Relative Clearance

Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.

Symbol: ψ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Diametrical Clearance Ratio or Relative Clearance

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_friction

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Shaft Speed

The Shaft Speed is the speed of rotation of the Shaft.

Symbol: N

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Shaft Speed

Load per Projected Area of Bearing

Load per Projected Area of Bearing is defined as the load that is acting on the projected area of the bearing which is the product of Axial length of bearing and Journal diameter.

Symbol: P

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Load per Projected Area of Bearing

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 Tribology category

Go Petroffs Equation for Coefficient of Friction

μ friction = 2 \cdot π^{2} \cdot μ viscosity \cdot (\frac{N}{P}) \cdot (\frac{1}{ψ})

Go Load per Projected Area of Bearing from Petroff's Equation

P = 2 \cdot π^{2} \cdot (\frac{μ viscosity}{μ friction}) \cdot (\frac{N}{ψ})

Go Absolute Viscosity from Petroff's Equation

μ viscosity = \frac{μ friction \cdot ψ}{2 \cdot π^{2} \cdot (\frac{N}{P})}

How to Evaluate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton evaluator uses Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing) to evaluate the Diametrical Clearance Ratio or Relative Clearance, The Diametrical clearance ratio or relative clearance from Petroff's equaiton formula can be used to find the clearance ratio from Petroff's equation when the remaining terms of the equation are known. Diametrical Clearance Ratio or Relative Clearance is denoted by ψ symbol.

How to evaluate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton using this online evaluator? To use this online evaluator for Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton, enter Dynamic Viscosity (μ_viscosity), Coefficient of Friction (μ_friction), Shaft Speed (N) & Load per Projected Area of Bearing (P) and hit the calculate button.

FAQs on Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

What is the formula to find Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

The formula of Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton is expressed as Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing). Here is an example- 0.003356 = 2*pi^2*(1.02/0.4)*(10/150000).

How to calculate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

With Dynamic Viscosity (μ_viscosity), Coefficient of Friction (μ_friction), Shaft Speed (N) & Load per Projected Area of Bearing (P) we can find Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton using the formula - Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing). This formula also uses Archimedes' constant .

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Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Formula

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Example

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Solution

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton Formula Elements

Other formulas in Tribology category

How to Evaluate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

FAQs on Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

Variable Name