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Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Formula

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Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance. Check FAQs

ε = \frac{\frac{h}{c} - 1}{\cos (θ)}

ε - Eccentricity Ratio?h - Oil Film Thickness at any Position θ?c - Radial Clearance?θ - Angle Measured from Point of Minimum of Oil Film?

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Example

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Here is how the Eccentricity Ratio given Radial Clearance and Film Thickness at any Position equation looks like with Values.

Here is how the Eccentricity Ratio given Radial Clearance and Film Thickness at any Position equation looks like with Units.

Here is how the Eccentricity Ratio given Radial Clearance and Film Thickness at any Position equation looks like.

5.874 = \frac{\frac{0.5}{0.082} - 1}{\cos (0.52)}

5.874 = \frac{\frac{0.5m}{0.082m} - 1}{\cos (0.52rad)}

5.874 = \frac{\frac{0.5}{0.082} - 1}{\cos (0.52)}

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Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Solution

Follow our step by step solution on how to calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

FIRST Step Consider the formula

ε = \frac{\frac{h}{c} - 1}{\cos (θ)}

Next Step Substitute values of Variables

∴

ε = \frac{\frac{0.5m}{0.082m} - 1}{\cos (0.52rad)}

Next Step Prepare to Evaluate

∴

ε = \frac{\frac{0.5}{0.082} - 1}{\cos (0.52)}

Next Step Evaluate

∴

ε = 5.87398976075089

LAST Step Rounding Answer

∴

ε = 5.874

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Formula Elements

Variables

Functions

Eccentricity Ratio

Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Eccentricity Ratio

Oil Film Thickness at any Position θ

Oil Film Thickness at any Position θ is the thickness of the film at a desired position from the position of minimum film thickness.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Oil Film Thickness at any Position θ

Radial Clearance

The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Clearance

Angle Measured from Point of Minimum of Oil Film

Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be less than 361.

Formulas to find Angle Measured from Point of Minimum of Oil Film

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Vertical Shaft Rotating in Guide Bearing category

Go Surface Velocity of Shaft given Shaft Speed and Diameter

U = π \cdot D \cdot N

Go Length of Bearing in Direction of Motion

B = \frac{D \cdot β}{2}

Go Angular Length of Bearing given Length of Bearing in Direction of Motion

β = \frac{2 \cdot B}{D}

Go Journal Diameter given Angular Length of Bearing and Length of Bearing in Direction of Motion

D = \frac{2 \cdot B}{β}

How to Evaluate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position evaluator uses Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film) to evaluate the Eccentricity Ratio, Eccentricity Ratio given Radial Clearance and Film Thickness at any Position formula is defined as a dimensionless parameter that characterizes the shape of the lubricant film in a bearing, providing a measure of the film's eccentricity in relation to the radial clearance and film thickness at a specific position. Eccentricity Ratio is denoted by ε symbol.

How to evaluate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position using this online evaluator? To use this online evaluator for Eccentricity Ratio given Radial Clearance and Film Thickness at any Position, enter Oil Film Thickness at any Position θ (h), Radial Clearance (c) & Angle Measured from Point of Minimum of Oil Film (θ) and hit the calculate button.

FAQs on Eccentricity Ratio given Radial Clearance and Film Thickness at any Position

What is the formula to find Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

The formula of Eccentricity Ratio given Radial Clearance and Film Thickness at any Position is expressed as Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film). Here is an example- 5.87399 = (0.5/0.082-1)/cos(0.52).

How to calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

With Oil Film Thickness at any Position θ (h), Radial Clearance (c) & Angle Measured from Point of Minimum of Oil Film (θ) we can find Eccentricity Ratio given Radial Clearance and Film Thickness at any Position using the formula - Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film). This formula also uses Cosine (cos) function(s).

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Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Formula

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Example

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Solution

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Formula Elements

Other formulas in Vertical Shaft Rotating in Guide Bearing category

How to Evaluate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

FAQs on Eccentricity Ratio given Radial Clearance and Film Thickness at any Position

Variable Name