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Petroffs Equation for Coefficient of Friction Formula

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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. Check FAQs

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

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

Petroffs Equation for Coefficient of Friction Example

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Here is how the Petroffs Equation for Coefficient of Friction equation looks like with Values.

Here is how the Petroffs Equation for Coefficient of Friction equation looks like with Units.

Here is how the Petroffs Equation for Coefficient of Friction equation looks like.

0.2685 = 2 \cdot {3.1416}^{2} \cdot 10.2 \cdot (\frac{10}{0.15}) \cdot (\frac{1}{0.005})

0.2685 = 2 \cdot {3.1416}^{2} \cdot 10.2P \cdot (\frac{10rev/s}{0.15MPa}) \cdot (\frac{1}{0.005})

0.2685 = 2 \cdot {3.1416}^{2} \cdot 10.2 \cdot (\frac{10}{0.15}) \cdot (\frac{1}{0.005})

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Petroffs Equation for Coefficient of Friction Solution

Follow our step by step solution on how to calculate Petroffs Equation for Coefficient of Friction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ friction = 2 \cdot π^{2} \cdot 10.2P \cdot (\frac{10rev/s}{0.15MPa}) \cdot (\frac{1}{0.005})

Next Step Substitute values of Constants

∴

μ friction = 2 \cdot {3.1416}^{2} \cdot 10.2P \cdot (\frac{10rev/s}{0.15MPa}) \cdot (\frac{1}{0.005})

Next Step Convert Units

∴

μ friction = 2 \cdot {3.1416}^{2} \cdot 1.02Pa*s \cdot (\frac{10Hz}{150000Pa}) \cdot (\frac{1}{0.005})

Next Step Prepare to Evaluate

∴

μ friction = 2 \cdot {3.1416}^{2} \cdot 1.02 \cdot (\frac{10}{150000}) \cdot (\frac{1}{0.005})

Next Step Evaluate

∴

μ friction = 0.268453239709631

LAST Step Rounding Answer

∴

μ friction = 0.2685

Petroffs Equation for Coefficient of Friction Formula Elements

Variables

Constants

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

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

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

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

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 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})}

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

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

How to Evaluate Petroffs Equation for Coefficient of Friction?

Petroffs Equation for Coefficient of Friction evaluator uses Coefficient of Friction = 2*pi^2*Dynamic Viscosity*(Shaft Speed/Load per Projected Area of Bearing)*(1/Diametrical Clearance Ratio or Relative Clearance) to evaluate the Coefficient of Friction, Petroffs Equation for Coefficient of Friction formula is defined as a dimensionless scalar value that characterizes the frictional force between two surfaces in contact, providing a fundamental parameter in tribology to analyze and predict the frictional behavior of various materials and surfaces under different conditions. Coefficient of Friction is denoted by μ_friction symbol.

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

FAQs on Petroffs Equation for Coefficient of Friction

What is the formula to find Petroffs Equation for Coefficient of Friction?

The formula of Petroffs Equation for Coefficient of Friction is expressed as Coefficient of Friction = 2*pi^2*Dynamic Viscosity*(Shaft Speed/Load per Projected Area of Bearing)*(1/Diametrical Clearance Ratio or Relative Clearance). Here is an example- 0.268453 = 2*pi^2*1.02*(10/150000)*(1/0.005).

How to calculate Petroffs Equation for Coefficient of Friction?

With Dynamic Viscosity (μ_viscosity), Shaft Speed (N), Load per Projected Area of Bearing (P) & Diametrical Clearance Ratio or Relative Clearance (ψ) we can find Petroffs Equation for Coefficient of Friction using the formula - Coefficient of Friction = 2*pi^2*Dynamic Viscosity*(Shaft Speed/Load per Projected Area of Bearing)*(1/Diametrical Clearance Ratio or Relative Clearance). This formula also uses Archimedes' constant .

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Petroffs Equation for Coefficient of Friction Formula

Petroffs Equation for Coefficient of Friction Example

Petroffs Equation for Coefficient of Friction Solution

Petroffs Equation for Coefficient of Friction Formula Elements

Other formulas in Tribology category

How to Evaluate Petroffs Equation for Coefficient of Friction?

FAQs on Petroffs Equation for Coefficient of Friction

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