Rotating Engineering

Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation) calculator

Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation)

Calculator

Eccentricity Ratio (dimensionless)
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Result Interpretation

Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation) calculator computes Eccentricity Ratio in dimensionless using the defined engineering formula and the input values provided. Eccentricity Ratio is expressed in dimensionless. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Dynamic Viscosity = 0.08
  • Rotational Speed = 314.159
  • Bearing Radius = 0.05
  • Bearing Length = 0.1
  • Radial Load = 4000
  • Radial Clearance = 0.0001

Expected Result:

  • Eccentricity Ratio = 0.22076950544055

Engineering Interpretation:

Under the given input conditions, the calculated result is: Eccentricity Ratio = 0.22076950544055 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

eccentricity ratio = sqrt(1 - pow(1 - (2 * 3.14159265358979 * dynamic viscosity * rotational speed * pow(bearing radius, 2) * bearing length) / (4 * radial load * radial clearance), 2))

Formula family: formula_rotating_bearing_eccentricity_ratio_calculator_classical_reynolds_short_bearing

Variables

SymbolLabelRoleDescription
viscosity Dynamic Viscosity INPUT Dynamic Viscosity
rotational_speed Rotational Speed INPUT Rotational Speed
bearing_radius Bearing Radius INPUT Bearing Radius
bearing_length Bearing Length INPUT Bearing Length
load Radial Load INPUT Radial Load
radial_clearance Radial Clearance INPUT Radial Clearance
eccentricity_ratio Eccentricity Ratio OUTPUT Eccentricity Ratio

Calculation Steps

  1. Enter the dynamic viscosity in Pa·s.
  2. Enter the rotational speed in rad/s.
  3. Enter the bearing radius in m.
  4. Enter the bearing length in m.
  5. Enter the radial load in N.
  6. Enter the radial clearance in m.
  7. Step 1: Compute eccentricity ratio.
  8. Read the eccentricity ratio (dimensionless) from the results.

Engineering Summary

Calculate Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation)

Frequently Asked Questions

What does this calculator calculate?

The Bearing Eccentricity Ratio (Classical Reynolds, Short-Bearing Approximation) calculator estimates Eccentricity Ratio based on the input parameters you provide

Why is dynamic viscosity important in this calculation?

dynamic viscosity is used directly in the calculation of eccentricity ratio. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter dynamic viscosity in Pa·s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result eccentricity ratio?

The calculator outputs eccentricity ratio in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Dynamic Viscosity (Pa·s), Rotational Speed (rad/s), Bearing Radius (m), Bearing Length (m), Radial Load (N), Radial Clearance (m). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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