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Diameter of Ball of Bearing from Stribeck's Equation Formula

GoDiameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball Formula

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Ball diameter of a bearing refers to the diameter of the ball of a ball bearing. Check FAQs

d b = \sqrt{\frac{5 \cdot C o}{k \cdot z}}

d_b - Ball Diameter of a Bearing?C_o - Static Load on Bearing?k - K Factor?z - Number of Balls in Bearing?

Diameter of Ball of Bearing from Stribeck's Equation Example

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Here is how the Diameter of Ball of Bearing from Stribeck's Equation equation looks like with Values.

Here is how the Diameter of Ball of Bearing from Stribeck's Equation equation looks like with Units.

Here is how the Diameter of Ball of Bearing from Stribeck's Equation equation looks like.

4.2008 = \sqrt{\frac{5 \cdot 45000}{850 \cdot 15}}

4.2008mm = \sqrt{\frac{5 \cdot 45000N}{850N/mm² \cdot 15}}

4.2008 = \sqrt{\frac{5 \cdot 45000}{850 \cdot 15}}

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Diameter of Ball of Bearing from Stribeck's Equation Solution

Follow our step by step solution on how to calculate Diameter of Ball of Bearing from Stribeck's Equation?

FIRST Step Consider the formula

d b = \sqrt{\frac{5 \cdot C o}{k \cdot z}}

Next Step Substitute values of Variables

∴

d b = \sqrt{\frac{5 \cdot 45000N}{850N/mm² \cdot 15}}

Next Step Convert Units

∴

d b = \sqrt{\frac{5 \cdot 45000N}{8.5E+8Pa \cdot 15}}

Next Step Prepare to Evaluate

∴

d b = \sqrt{\frac{5 \cdot 45000}{8.5E+8 \cdot 15}}

Next Step Evaluate

∴

d b = 0.00420084025208403m

Next Step Convert to Output's Unit

∴

d b = 4.20084025208403mm

LAST Step Rounding Answer

∴

d b = 4.2008mm

Diameter of Ball of Bearing from Stribeck's Equation Formula Elements

Variables

Functions

Ball Diameter of a Bearing

Ball diameter of a bearing refers to the diameter of the ball of a ball bearing.

Symbol: d_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Ball Diameter of a Bearing

Static Load on Bearing

Static Load on Bearing is the load acting onto the bearing when the bearing is not rotating or the bearing is in static condition.

Symbol: C_o

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Static Load on Bearing

K Factor

K Factor is the constant that depends upon the radii of curvature at the point of contact and on the moduli of elasticity of materials.

Symbol: k

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find K Factor

Number of Balls in Bearing

Number of Balls in Bearing refers to the number of balls that are present in the ball bearing.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Balls in Bearing

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Ball Diameter of a Bearing

Go Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball

d b = \sqrt{\frac{F}{k}}

Other formulas in Stribeck’s Equation category

Go Static Load on Ball of Ball Bearing from Stribeck's Equation

C o = k \cdot {d b}^{2} \cdot \frac{z}{5}

Go K Factor for Ball Bearing from Stribeck's Equation

k = 5 \cdot \frac{C o}{{d b}^{2} \cdot z}

Go Number of Balls of Ball Bearing from Stribeck's Equation

z = 5 \cdot \frac{C o}{k \cdot {d b}^{2}}

Go Force required to produce Permanent Deformation of Balls of Ball Bearing

F = k \cdot {d b}^{2}

How to Evaluate Diameter of Ball of Bearing from Stribeck's Equation?

Diameter of Ball of Bearing from Stribeck's Equation evaluator uses Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)) to evaluate the Ball Diameter of a Bearing, Diameter of Ball of Bearing from Stribeck's Equation formula is defined as the diameter of the balls that are present in the ball bearings. Ball Diameter of a Bearing is denoted by d_b symbol.

How to evaluate Diameter of Ball of Bearing from Stribeck's Equation using this online evaluator? To use this online evaluator for Diameter of Ball of Bearing from Stribeck's Equation, enter Static Load on Bearing (C_o), K Factor (k) & Number of Balls in Bearing (z) and hit the calculate button.

FAQs on Diameter of Ball of Bearing from Stribeck's Equation

What is the formula to find Diameter of Ball of Bearing from Stribeck's Equation?

The formula of Diameter of Ball of Bearing from Stribeck's Equation is expressed as Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)). Here is an example- 4200.84 = sqrt((5*45000)/(850000000*15)).

How to calculate Diameter of Ball of Bearing from Stribeck's Equation?

With Static Load on Bearing (C_o), K Factor (k) & Number of Balls in Bearing (z) we can find Diameter of Ball of Bearing from Stribeck's Equation using the formula - Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Ball Diameter of a Bearing?

Here are the different ways to Calculate Ball Diameter of a Bearing-

Ball Diameter of a Bearing=sqrt(Force on Ball Bearing/K Factor)

Can the Diameter of Ball of Bearing from Stribeck's Equation be negative?

No, the Diameter of Ball of Bearing from Stribeck's Equation, measured in Length cannot be negative.

Which unit is used to measure Diameter of Ball of Bearing from Stribeck's Equation?

Diameter of Ball of Bearing from Stribeck's Equation is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Ball of Bearing from Stribeck's Equation can be measured.

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Diameter of Ball of Bearing from Stribeck's Equation Formula

​GoDiameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball Formula

Diameter of Ball of Bearing from Stribeck's Equation Example

Diameter of Ball of Bearing from Stribeck's Equation Solution

Diameter of Ball of Bearing from Stribeck's Equation Formula Elements

Other Formulas to find Ball Diameter of a Bearing

Other formulas in Stribeck’s Equation category

How to Evaluate Diameter of Ball of Bearing from Stribeck's Equation?

FAQs on Diameter of Ball of Bearing from Stribeck's Equation

Variable Name

GoDiameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball Formula