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Maximum undeformed chip thickness given constant for grinding wheel Formula

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Maximum Undeformed Chip Thickness in Grinding is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and forms a chip. Check FAQs

b gcMax = \sqrt{K \cdot u w \cdot \frac{\sqrt{f in}}{u g}}

b_gcMax - Maximum Undeformed Chip Thickness in Grinding?K - Constant for Grinding Wheel?u_w - Surface Speed of Workpiece in Grinding?f_in - Infeed Provided by Grinding Wheel?u_g - Surface Speed of Grinding Wheel?

Maximum undeformed chip thickness given constant for grinding wheel Example

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Here is how the Maximum undeformed chip thickness given constant for grinding wheel equation looks like with Values.

Here is how the Maximum undeformed chip thickness given constant for grinding wheel equation looks like with Units.

Here is how the Maximum undeformed chip thickness given constant for grinding wheel equation looks like.

54.1009 = \sqrt{2.54 \cdot 100 \cdot \frac{\sqrt{2.0981}}{3975}}

54.1009mm = \sqrt{2.54 \cdot 100mm/s \cdot \frac{\sqrt{2.0981mm}}{3975mm/s}}

54.1009 = \sqrt{2.54 \cdot 100 \cdot \frac{\sqrt{2.0981}}{3975}}

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Maximum undeformed chip thickness given constant for grinding wheel Solution

Follow our step by step solution on how to calculate Maximum undeformed chip thickness given constant for grinding wheel?

FIRST Step Consider the formula

b gcMax = \sqrt{K \cdot u w \cdot \frac{\sqrt{f in}}{u g}}

Next Step Substitute values of Variables

∴

b gcMax = \sqrt{2.54 \cdot 100mm/s \cdot \frac{\sqrt{2.0981mm}}{3975mm/s}}

Next Step Convert Units

∴

b gcMax = \sqrt{2.54 \cdot 0.1m/s \cdot \frac{\sqrt{0.0021m}}{3.975m/s}}

Next Step Prepare to Evaluate

∴

b gcMax = \sqrt{2.54 \cdot 0.1 \cdot \frac{\sqrt{0.0021}}{3.975}}

Next Step Evaluate

∴

b gcMax = 0.054100943332036m

Next Step Convert to Output's Unit

∴

b gcMax = 54.100943332036mm

LAST Step Rounding Answer

∴

b gcMax = 54.1009mm

Maximum undeformed chip thickness given constant for grinding wheel Formula Elements

Variables

Functions

Maximum Undeformed Chip Thickness in Grinding

Maximum Undeformed Chip Thickness in Grinding is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and forms a chip.

Symbol: b_gcMax

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Undeformed Chip Thickness in Grinding

Constant for Grinding Wheel

Constant for Grinding Wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant for Grinding Wheel

Surface Speed of Workpiece in Grinding

Surface Speed of Workpiece in Grinding refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.

Symbol: u_w

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Workpiece in Grinding

Infeed Provided by Grinding Wheel

Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.

Symbol: f_in

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Infeed Provided by Grinding Wheel

Surface Speed of Grinding Wheel

Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.

Symbol: u_g

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Grinding Wheel

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 in Grinding Chip category

Go Average length of chip

l c = d t \cdot \frac{\sin (θ)}{2}

Go Angle made by length of chip

θ = a \sin (2 \cdot \frac{l c}{d t})

Go Infeed for given Angle made by length of chip

f in = (1 - \cos (θ)) \cdot \frac{d t}{2}

Go Angle made by length of chip given Infeed

θ = a \cos (1 - \frac{2 \cdot f in}{d t})

How to Evaluate Maximum undeformed chip thickness given constant for grinding wheel?

Maximum undeformed chip thickness given constant for grinding wheel evaluator uses Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel) to evaluate the Maximum Undeformed Chip Thickness in Grinding, Maximum undeformed chip thickness given constant for grinding wheel is the thickest layer of material a single abrasive grain on the grinding wheel aims to remove before it breaks the material and actually forms a chip, when grinding wheel constant (specific to the grinding wheel) is known. By controlling the maximum undeformed chip thickness(MUCT), it is possible to achieve ductile-mode grinding, which results in improved surface integrity and reduced surface roughness. Maximum Undeformed Chip Thickness in Grinding is denoted by b_gcMax symbol.

How to evaluate Maximum undeformed chip thickness given constant for grinding wheel using this online evaluator? To use this online evaluator for Maximum undeformed chip thickness given constant for grinding wheel, enter Constant for Grinding Wheel (K), Surface Speed of Workpiece in Grinding (u_w), Infeed Provided by Grinding Wheel (f_in) & Surface Speed of Grinding Wheel (u_g) and hit the calculate button.

FAQs on Maximum undeformed chip thickness given constant for grinding wheel

What is the formula to find Maximum undeformed chip thickness given constant for grinding wheel?

The formula of Maximum undeformed chip thickness given constant for grinding wheel is expressed as Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel). Here is an example- 54100.94 = sqrt(2.54*0.1*(sqrt(0.0020981))/3.975).

How to calculate Maximum undeformed chip thickness given constant for grinding wheel?

With Constant for Grinding Wheel (K), Surface Speed of Workpiece in Grinding (u_w), Infeed Provided by Grinding Wheel (f_in) & Surface Speed of Grinding Wheel (u_g) we can find Maximum undeformed chip thickness given constant for grinding wheel using the formula - Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel). This formula also uses Square Root (sqrt) function(s).

Can the Maximum undeformed chip thickness given constant for grinding wheel be negative?

No, the Maximum undeformed chip thickness given constant for grinding wheel, measured in Length cannot be negative.

Which unit is used to measure Maximum undeformed chip thickness given constant for grinding wheel?

Maximum undeformed chip thickness given constant for grinding wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum undeformed chip thickness given constant for grinding wheel can be measured.

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Maximum undeformed chip thickness given constant for grinding wheel Formula

Maximum undeformed chip thickness given constant for grinding wheel Example

Maximum undeformed chip thickness given constant for grinding wheel Solution

Maximum undeformed chip thickness given constant for grinding wheel Formula Elements

Other formulas in Grinding Chip category

How to Evaluate Maximum undeformed chip thickness given constant for grinding wheel?

FAQs on Maximum undeformed chip thickness given constant for grinding wheel

Variable Name