LCM calculator

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

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

Tribology Automobile Design of Automobile Elements Design of Machine Elements More >>

⤿

Vertical Shaft Rotating in Guide Bearing

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖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.ⓘ Coefficient of Friction [μ_friction]			+10% -10%
✖The Shaft Speed is the speed of rotation of the Shaft.ⓘ Shaft Speed [N]			+10% -10%
✖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.ⓘ Load per Projected Area of Bearing [P]			+10% -10%

✖Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.ⓘ Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton [ψ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Tribology Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing)
ψ = 2*pi^2*(μ_viscosity/μ_friction)*(N/P)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diametrical Clearance Ratio or Relative Clearance - Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
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.
Shaft Speed - (Measured in Hertz) - The Shaft Speed is the speed of rotation of the Shaft.
Load per Projected Area of Bearing - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Coefficient of Friction: 0.4 --> No Conversion Required
Shaft Speed: 10 Revolution per Second --> 10 Hertz (Check conversion here)
Load per Projected Area of Bearing: 0.15 Megapascal --> 150000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = 2*pi^2*(μ_viscosity/μ_friction)*(N/P) --> 2*pi^2*(1.02/0.4)*(10/150000)

Evaluating ... ...

ψ = 0.00335566549637038

STEP 3: Convert Result to Output's Unit

0.00335566549637038 --> No Conversion Required

FINAL ANSWER

0.00335566549637038 ≈ 0.003356 <-- Diametrical Clearance Ratio or Relative Clearance

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Mechanical » Tribology » Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

Credits

Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Tribology Calculators

Petroffs Equation for Coefficient of Friction

LaTeX Go Coefficient of Friction = 2*pi^2*Dynamic Viscosity*(Shaft Speed/Load per Projected Area of Bearing)*(1/Diametrical Clearance Ratio or Relative Clearance)

Absolute Viscosity from Petroff's Equation

LaTeX Go Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing))

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

LaTeX Go Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing)

Load per Projected Area of Bearing from Petroff's Equation

LaTeX Go Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance)

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

LaTeX Go

Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing)
ψ = 2*pi^2*(μ_viscosity/μ_friction)*(N/P)

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

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton calculator uses Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing) to calculate 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 calculate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton using this online calculator? To use this online calculator 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. Here is how the Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton calculation can be explained with given input values -> 0.003356 = 2*pi^2*(1.02/0.4)*(10/150000).

FAQ

What is Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton?

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 and is represented as ψ = 2*pi^2*(μ_viscosity/μ_friction)*(N/P) or Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, 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, The Shaft Speed is the speed of rotation of the Shaft & 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.

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

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 is calculated using Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing). To calculate Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton, you need Dynamic Viscosity (μ_viscosity), Coefficient of Friction (μ_friction), Shaft Speed (N) & Load per Projected Area of Bearing (P). With our tool, you need to enter the respective value for Dynamic Viscosity, Coefficient of Friction, Shaft Speed & Load per Projected Area of Bearing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search