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

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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. Check FAQs

c = \frac{h}{1 + ε \cdot \cos (θ)}

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

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

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

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

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

0.2951 = \frac{0.5}{1 + 0.8 \cdot \cos (0.52)}

0.2951m = \frac{0.5m}{1 + 0.8 \cdot \cos (0.52rad)}

0.2951 = \frac{0.5}{1 + 0.8 \cdot \cos (0.52)}

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

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

FIRST Step Consider the formula

c = \frac{h}{1 + ε \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

c = \frac{0.5m}{1 + 0.8 \cdot \cos (0.52rad)}

Next Step Prepare to Evaluate

∴

c = \frac{0.5}{1 + 0.8 \cdot \cos (0.52)}

Next Step Evaluate

∴

c = 0.295114902158517m

LAST Step Rounding Answer

∴

c = 0.2951m

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

Variables

Functions

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

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

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

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 Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position?

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position evaluator uses Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)) to evaluate the Radial Clearance, Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position formula is defined as a measure of the minimum distance between the journal and the bearing surface in a tribological system, which is critical in determining the lubrication efficiency and wear resistance of the system. Radial Clearance is denoted by c symbol.

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

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

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

The formula of Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position is expressed as Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)). Here is an example- 0.295115 = 0.5/(1+0.8*cos(0.52)).

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

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

Can the Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position be negative?

No, the Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position, measured in Length cannot be negative.

Which unit is used to measure Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position?

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position can be measured.

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

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

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

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

Other formulas in Vertical Shaft Rotating in Guide Bearing category

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

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

Variable Name