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

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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. Check FAQs

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

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

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

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Here is how the Load per Projected Area of Bearing from Petroff's Equation equation looks like with Values.

Here is how the Load per Projected Area of Bearing from Petroff's Equation equation looks like with Units.

Here is how the Load per Projected Area of Bearing from Petroff's Equation equation looks like.

0.1007 = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2}{0.4}) \cdot (\frac{10}{0.005})

0.1007MPa = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.005})

0.1007 = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2}{0.4}) \cdot (\frac{10}{0.005})

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

Follow our step by step solution on how to calculate Load per Projected Area of Bearing from Petroff's Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot π^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.005})

Next Step Substitute values of Constants

∴

P = 2 \cdot {3.1416}^{2} \cdot (\frac{10.2P}{0.4}) \cdot (\frac{10rev/s}{0.005})

Next Step Convert Units

∴

P = 2 \cdot {3.1416}^{2} \cdot (\frac{1.02Pa*s}{0.4}) \cdot (\frac{10Hz}{0.005})

Next Step Prepare to Evaluate

∴

P = 2 \cdot {3.1416}^{2} \cdot (\frac{1.02}{0.4}) \cdot (\frac{10}{0.005})

Next Step Evaluate

∴

P = 100669.964891111Pa

Next Step Convert to Output's Unit

∴

P = 0.100669964891111MPa

LAST Step Rounding Answer

∴

P = 0.1007MPa

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

Variables

Constants

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

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

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 Petroffs Equation for Coefficient of Friction

μ friction = 2 \cdot π^{2} \cdot μ viscosity \cdot (\frac{N}{P}) \cdot (\frac{1}{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 Load per Projected Area of Bearing from Petroff's Equation?

Load per Projected Area of Bearing from Petroff's Equation evaluator uses Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance) to evaluate the Load per Projected Area of Bearing, Load per Projected Area of Bearing from Petroff's Equation formula is defined as a measure of the load-carrying capacity of a bearing, which is influenced by the viscosity of the lubricant, friction coefficient, and rotational speed of the bearing, and is used to predict the performance of bearings in various tribological applications. Load per Projected Area of Bearing is denoted by P symbol.

How to evaluate Load per Projected Area of Bearing from Petroff's Equation using this online evaluator? To use this online evaluator 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.

FAQs on Load per Projected Area of Bearing from Petroff's Equation

What is the formula to find Load per Projected Area of Bearing from Petroff's Equation?

The formula of Load per Projected Area of Bearing from Petroff's Equation is expressed as Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance). Here is an example- 1E-7 = 2*pi^2*(1.02/0.4)*(10/0.005).

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

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

Can the Load per Projected Area of Bearing from Petroff's Equation be negative?

No, the Load per Projected Area of Bearing from Petroff's Equation, measured in Pressure cannot be negative.

Which unit is used to measure Load per Projected Area of Bearing from Petroff's Equation?

Load per Projected Area of Bearing from Petroff's Equation is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Load per Projected Area of Bearing from Petroff's Equation can be measured.

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

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

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

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

Other formulas in Tribology category

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

FAQs on Load per Projected Area of Bearing from Petroff's Equation

Variable Name