Petroffs equation for coefficient of friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance)
μ = 2*(pi^2)*(μ*N/(P))*(1/ψ)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity is the measure of the fluid's internal resistance which is offered by the fluid to resist the flow.
Shaft Speed - (Measured in Hertz) - The Shaft Speed is the speed of rotation of the Shaft.
Load per projected area of the bearing - (Measured in Pascal) - Load per projected area of the 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.
Diametrical Clearance Ratio or Relative Clearance - Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 10 Poise --> 1 Pascal Second (Check conversion here)
Shaft Speed: 10 Revolution per Second --> 10 Hertz (Check conversion here)
Load per projected area of the bearing: 0.15 Megapascal --> 150000 Pascal (Check conversion here)
Diametrical Clearance Ratio or Relative Clearance: 0.005 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = 2*(pi^2)*(μ*N/(P))*(1/ψ) --> 2*(pi^2)*(1*10/(150000))*(1/0.005)
Evaluating ... ...
μ = 0.263189450695716
STEP 3: Convert Result to Output's Unit
0.263189450695716 --> No Conversion Required
FINAL ANSWER
0.263189450695716 <-- Coefficient of Friction
(Calculation completed in 00.031 seconds)

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Absolute viscosity from Petroff's equation
Dynamic Viscosity = Coefficient of Friction/(2*(pi^2)*(Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance)) Go
Diametrical clearance ratio (relative clearance) from Petroff's equaiton
Diametrical Clearance Ratio or Relative Clearance = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Coefficient of Friction) Go
Petroffs equation for coefficient of friction
Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance) Go
Load per projected area of bearing from Petroff's equation
Load per projected area of the bearing = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed)*(1/Diametrical Clearance Ratio or Relative Clearance)/Coefficient of Friction Go

Petroffs equation for coefficient of friction Formula

Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance)
μ = 2*(pi^2)*(μ*N/(P))*(1/ψ)

What is petroff's equation?

Petroff's equation gives the coefficient of friction in journal bearings. It is based on the following assumptions.
-It assumes that the shaft (journal) and the bearing are concentric.
-The bearing is subjected to light load.

What is the significance of petroff's equation?

Petroff's equation indicates that there are two important dimensionless parameters (r/c) and (µn/P) that govern the coefficient of friction and other friction properties like frictional torque, frictional power loss and temperature rise in the bearing.

How to Calculate Petroffs equation for coefficient of friction?

Petroffs equation for coefficient of friction calculator uses Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance) to calculate the Coefficient of Friction, The Petroffs equation for coefficient of friction formula provides estimation of coefficient of friction in sliding bearing. Coefficient of Friction is denoted by μ symbol.

How to calculate Petroffs equation for coefficient of friction using this online calculator? To use this online calculator for Petroffs equation for coefficient of friction, enter Dynamic Viscosity (μ), Shaft Speed (N), Load per projected area of the bearing (P) & Diametrical Clearance Ratio or Relative Clearance (ψ) and hit the calculate button. Here is how the Petroffs equation for coefficient of friction calculation can be explained with given input values -> 0.263189 = 2*(pi^2)*(1*10/(150000))*(1/0.005).

FAQ

What is Petroffs equation for coefficient of friction?
The Petroffs equation for coefficient of friction formula provides estimation of coefficient of friction in sliding bearing and is represented as μ = 2*(pi^2)*(μ*N/(P))*(1/ψ) or Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance). Dynamic Viscosity is the measure of the fluid's internal resistance which is offered by the fluid to resist the flow, The Shaft Speed is the speed of rotation of the Shaft, Load per projected area of the 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 & Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.
How to calculate Petroffs equation for coefficient of friction?
The Petroffs equation for coefficient of friction formula provides estimation of coefficient of friction in sliding bearing is calculated using Coefficient of Friction = 2*(pi^2)*(Dynamic Viscosity*Shaft Speed/(Load per projected area of the bearing))*(1/Diametrical Clearance Ratio or Relative Clearance). To calculate Petroffs equation for coefficient of friction, you need Dynamic Viscosity (μ), Shaft Speed (N), Load per projected area of the bearing (P) & Diametrical Clearance Ratio or Relative Clearance (ψ). With our tool, you need to enter the respective value for Dynamic Viscosity, Shaft Speed, Load per projected area of the bearing & Diametrical Clearance Ratio or Relative Clearance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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