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

✖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.ⓘ Force on Ball Bearing [F]			+10% -10%
✖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.ⓘ K Factor [k]			+10% -10%

✖Ball diameter of a bearing refers to the diameter of the ball of a ball bearing.ⓘ Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball [d_b]

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

Formula

`"d"_{"b"} = sqrt("F"/"k")`

Example

`"4.20084mm"=sqrt("15000N"/"850N/mm²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor)
d_b = sqrt(F/k)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Ball diameter of a bearing - (Measured in Meter) - Ball diameter of a bearing refers to the diameter of the ball of a ball bearing.
Force on Ball Bearing - (Measured in Newton) - 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.
K Factor - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Force on Ball Bearing: 15000 Newton --> 15000 Newton No Conversion Required
K Factor: 850 Newton per Square Millimeter --> 850000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = sqrt(F/k) --> sqrt(15000/850000000)

Evaluating ... ...

d_b = 0.00420084025208403

STEP 3: Convert Result to Output's Unit

0.00420084025208403 Meter -->4.20084025208403 Millimeter (Check conversion here)

FINAL ANSWER

4.20084025208403 ≈ 4.20084 Millimeter <-- Ball diameter of a bearing

(Calculation completed in 00.004 seconds)

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< 12 Stribeck’s Equation Calculators

Diameter of Ball of Bearing from Stribeck's Equation

Go Ball diameter of a bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))

Number of Balls of Ball Bearing from Stribeck's Equation

Go Number of Balls in Bearing = 5*Static Load on Bearing/(K Factor*Ball diameter of a bearing^2)

K Factor for Ball Bearing from Stribeck's Equation

Go K Factor = 5*Static Load on Bearing/(Ball diameter of a bearing^2*Number of Balls in Bearing)

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

Go Static Load on Bearing = K Factor*Ball diameter of a bearing^2*Number of Balls in Bearing/5

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

Go Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor)

Force required to produce Permanent Deformation of Balls of Ball Bearing given Static Load

Go Force on Ball Bearing = 5*Static Load on Bearing/Number of Balls in Bearing

Static Load on Ball of Ball Bearing given Primary force

Go Static Load on Bearing = Force on Ball Bearing*Number of Balls in Bearing/5

Number of Balls of Ball Bearing given Static Load

Go Number of Balls in Bearing = 5*Static Load on Bearing/Force on Ball Bearing

K Factor for Ball Bearing given Force required to produce Permanent Deformation of Balls

Go K Factor = Force on Ball Bearing/Ball diameter of a bearing^2

Force required to produce Permanent Deformation of Balls of Ball Bearing

Go Force on Ball Bearing = K Factor*Ball diameter of a bearing^2

Number of Balls of Ball Bearing given Angle between Balls

Go Number of Balls in Bearing = 360/Angle between balls of bearing in degrees

Angle between adjacent Balls of Ball Bearing

Go Angle between balls of bearing in degrees = 360/Number of Balls in Bearing

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

Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor)
d_b = sqrt(F/k)

Define Stribeck's Equation?

Stribeck curve is basically a curve between the coefficient of friction and bearing number. Unit load means the applied load divided by projected area, when we plot a coefficient of friction with bearing number, what we get at different domains and different regimes of lubrication.

How to Calculate 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 calculator uses Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor) to calculate 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 calculate Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball using this online calculator? To use this online calculator 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. Here is how the Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball calculation can be explained with given input values -> 4200.84 = sqrt(15000/850000000).

FAQ

What is 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 formula is defined as diameter of balls that are used in bearings that we are using and is represented as d_b = sqrt(F/k) or Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor). 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 & 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.

How to calculate 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 formula is defined as diameter of balls that are used in bearings that we are using is calculated using Ball diameter of a bearing = sqrt(Force on Ball Bearing/K Factor). To calculate Diameter of Ball of Bearing given Force required to produce Permanent Deformation in Ball, you need Force on Ball Bearing (F) & K Factor (k). With our tool, you need to enter the respective value for Force on Ball Bearing & K Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ball diameter of a bearing?

In this formula, Ball diameter of a bearing uses Force on Ball Bearing & K Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ball diameter of a bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))

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