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

GoDiameter of Ball of Bearing from Stribeck's Equation 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{F}{k}}

d_b - Ball Diameter of a Bearing?F - Force on Ball Bearing?k - K Factor?

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

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Here is how the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball equation looks like with Values.

Here is how the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball equation looks like with Units.

Here is how the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball equation looks like.

4.2008 = \sqrt{\frac{15000}{850}}

4.2008mm = \sqrt{\frac{15000N}{850N/mm²}}

4.2008 = \sqrt{\frac{15000}{850}}

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

Follow our step by step solution on how to calculate Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d b = \sqrt{\frac{15000N}{850N/mm²}}

Next Step Convert Units

∴

d b = \sqrt{\frac{15000N}{8.5E+8Pa}}

Next Step Prepare to Evaluate

∴

d b = \sqrt{\frac{15000}{8.5E+8}}

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 given Force required to produce Permanent Deformation in Ball 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

Force on Ball Bearing

Force on Ball Bearing is any interaction that, when unopposed, will change the motion of the bearing. It is the force required to cause deformation in the bearing.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Ball 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

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 from Stribeck's Equation

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

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 given Force required to produce Permanent Deformation in Ball?

Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball evaluator uses Ball Diameter of a Bearing = sqrt(Force on Ball Bearing/K Factor) to evaluate the Ball Diameter of a Bearing, Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball formula is defined as diameter of balls that are used in bearings that we are using. Ball Diameter of a Bearing is denoted by d_b symbol.

How to evaluate Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball using this online evaluator? To use this online evaluator for Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball, enter Force on Ball Bearing (F) & K Factor (k) and hit the calculate button.

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

What is the formula to find Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball?

The formula of Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball is expressed as Ball Diameter of a Bearing = sqrt(Force on Ball Bearing/K Factor). Here is an example- 4200.84 = sqrt(15000/850000000).

How to calculate Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball?

With Force on Ball Bearing (F) & K Factor (k) we can find Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball using the formula - Ball Diameter of a Bearing = sqrt(Force on Ball Bearing/K Factor). 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((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))

Can the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball be negative?

No, the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball, measured in Length cannot be negative.

Which unit is used to measure Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball?

Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball 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 given Force required to produce Permanent Deformation in Ball can be measured.

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

​GoDiameter of Ball of Bearing from Stribeck's Equation Formula

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

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

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

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

Variable Name

GoDiameter of Ball of Bearing from Stribeck's Equation Formula