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

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

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Formula

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Load per Projected Area of Bearing from Petroff's Equation

Formula

`"P" = 2*pi^2*("μ"_{"viscosity"}/"μ"_{"friction"})*("N"/"ψ")`

Example

`"0.10067MPa"=2*pi^2*("10.2P"/"0.4")*("10rev/s"/"0.005")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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: 10.2 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)
Diametrical Clearance Ratio or Relative Clearance: 0.005 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*pi^2*(μ_viscosity/μ_friction)*(N/ψ) --> 2*pi^2*(1.02/0.4)*(10/0.005)

Evaluating ... ...

P = 100669.964891111

STEP 3: Convert Result to Output's Unit

100669.964891111 Pascal -->0.100669964891111 Megapascal (Check conversion here)

FINAL ANSWER

0.100669964891111 ≈ 0.10067 Megapascal <-- Load per Projected Area of Bearing

(Calculation completed in 00.004 seconds)

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< 4 Tribology Calculators

Petroffs Equation for Coefficient of Friction

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

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

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

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

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

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

Load per Projected Area of Bearing from Petroff's Equation calculator uses Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance) to calculate the Load per Projected Area of Bearing, Load per projected area of bearing from Petroff's equation formula is used to find the pressure inside the bearing using the Petroff's equation when the remaining parameters are known. Load per Projected Area of Bearing is denoted by P symbol.

How to calculate Load per Projected Area of Bearing from Petroff's Equation using this online calculator? To use this online calculator for Load per Projected Area of Bearing from Petroff's Equation, enter Dynamic Viscosity (μ_viscosity), Coefficient of Friction (μ_friction), Shaft Speed (N) & Diametrical Clearance Ratio or Relative Clearance (ψ) and hit the calculate button. Here is how the Load per Projected Area of Bearing from Petroff's Equation calculation can be explained with given input values -> 2E-7 = 2*pi^2*(1.02/0.4)*(10/0.005).

FAQ

What is Load per Projected Area of Bearing from Petroff's Equation?

Load per projected area of bearing from Petroff's equation formula is used to find the pressure inside the bearing using the Petroff's equation when the remaining parameters are known and is represented as P = 2*pi^2*(μ_viscosity/μ_friction)*(N/ψ) or Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance). 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 & Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.

How to calculate Load per Projected Area of Bearing from Petroff's Equation?

Load per projected area of bearing from Petroff's equation formula is used to find the pressure inside the bearing using the Petroff's equation when the remaining parameters are known is calculated using Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance). To calculate Load per Projected Area of Bearing from Petroff's Equation, you need Dynamic Viscosity (μ_viscosity), Coefficient of Friction (μ_friction), Shaft Speed (N) & Diametrical Clearance Ratio or Relative Clearance (ψ). With our tool, you need to enter the respective value for Dynamic Viscosity, Coefficient of Friction, Shaft Speed & 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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