Average length of Chip given Average volume of each Chip Calculator

✖Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.ⓘ Average volume of each Chip [V₀]			+10% -10%
✖Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding.ⓘ Maximum width of chip in Grinding [a_{w max}]			+10% -10%
✖Maximum Undeformed Chip Thickness in Grinding is the maximum thickness of an undeformed chip after grinding operation.ⓘ Maximum Undeformed Chip Thickness in Grinding [a_{c max}]			+10% -10%

✖Average Length of Chip is the undeformed chip length during grinding operation.ⓘ Average length of Chip given Average volume of each Chip [l_c]

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Formula

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Average length of Chip given Average volume of each Chip

Formula

`"l"_{"c"} = (6*"V"_{"0"})/("a"_{"w max"}*"a"_{"c max"})`

Example

`"20.16mm"=(6*"151.2mm³")/("7.5mm"*"6mm")`

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Average length of Chip given Average volume of each Chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)
l_c = (6*V₀)/(a_{w max}*a_{c max})
This formula uses 4 Variables

Variables Used

Average Length of Chip - (Measured in Meter) - Average Length of Chip is the undeformed chip length during grinding operation.
Average volume of each Chip - (Measured in Cubic Meter) - Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.
Maximum width of chip in Grinding - (Measured in Meter) - Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding.
Maximum Undeformed Chip Thickness in Grinding - (Measured in Meter) - Maximum Undeformed Chip Thickness in Grinding is the maximum thickness of an undeformed chip after grinding operation.

STEP 1: Convert Input(s) to Base Unit

Average volume of each Chip: 151.2 Cubic Millimeter --> 1.512E-07 Cubic Meter (Check conversion here)
Maximum width of chip in Grinding: 7.5 Millimeter --> 0.0075 Meter (Check conversion here)
Maximum Undeformed Chip Thickness in Grinding: 6 Millimeter --> 0.006 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = (6*V₀)/(a_{w max}*a_{c max}) --> (6*1.512E-07)/(0.0075*0.006)

Evaluating ... ...

l_c = 0.02016

STEP 3: Convert Result to Output's Unit

0.02016 Meter -->20.16 Millimeter (Check conversion here)

FINAL ANSWER

20.16 Millimeter <-- Average Length of Chip

(Calculation completed in 00.020 seconds)

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Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 18 Grinding Chip Calculators

Maximum undeformed chip thickness given constant for grinding wheel

Go Maximum Undeformed Chip Width in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed in Grinding Machine))/Surface Speed of Grinding Wheel)

Width of grinding path given Number of chips produced per time

Go Width of Grinding Path = Number of Chip Produced per Unit Time/(Surface Speed of Grinding Wheel*Number of active grains per Area on wheel surface)

Number of chip produced per unit time in Grinding

Go Number of Chip Produced per Unit Time = Surface Speed of Grinding Wheel*Width of Grinding Path*Number of active grains per Area on wheel surface

Average length of Chip given Average volume of each Chip

Go Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)

Maximum Width of Chip given Average volume of each Chip

Go Maximum width of chip in Grinding = (6*Average volume of each Chip)/(Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip)

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)

Average Volume of each Chip

Go Average volume of each Chip = Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip/6

Angle made by length of chip given Infeed

Go Angle made by the length of the chip = acos(1-(2*Infeed in Grinding Machine/Diameter of Grinding Tool Wheel))

Infeed for given Angle made by length of chip

Go Infeed in Grinding Machine = (1-cos(Angle made by the length of the chip))*Diameter of Grinding Tool Wheel/2

Angle made by length of chip

Go Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel)

Average length of chip

Go Average Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed in Grinding Machine*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum width of chip in Grinding = Grain aspect ratio in Grinding*Maximum Undeformed Chip Thickness in Grinding

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness in Grinding = Maximum width of chip in Grinding/Grain aspect ratio in Grinding

Metal removal rate given number of chip produced and volume of each chip

Go Material Removal Rate = Number of Chip Produced per Unit Time*Average Volume of Each Chip in Grinding

Average Volume of each chip given metal removal rate in grinding

Go Average Volume of Each Chip in Grinding = Material Removal Rate/Number of Chip Produced per Unit Time

Number of chip produce per time given metal removal rate

Go Number of Chip Produced per Unit Time = Material Removal Rate/Average Volume of Each Chip in Grinding

Infeed given Diameter of wheel and average length of chip

Go Infeed in Grinding Machine = (Average Chip Length^2)/Diameter of Grinding Tool Wheel

Average length of Chip given Average volume of each Chip Formula

Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)
l_c = (6*V₀)/(a_{w max}*a_{c max})

What is uncut chip thickness?

Uncut chip thickness is comparable to cutting edge radius in micromachining. If the uncut chip thickness is less than a critical value, there will be no chip formation. This critical value is termed as minimum uncut chip thickness (MUCT).

How to Calculate Average length of Chip given Average volume of each Chip?

Average length of Chip given Average volume of each Chip calculator uses Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding) to calculate the Average Length of Chip, The Average length of Chip given Average volume of each Chip is the average of the actual length of the chip formed. Average Length of Chip is denoted by l_c symbol.

How to calculate Average length of Chip given Average volume of each Chip using this online calculator? To use this online calculator for Average length of Chip given Average volume of each Chip, enter Average volume of each Chip (V₀), Maximum width of chip in Grinding (a_{w max}) & Maximum Undeformed Chip Thickness in Grinding (a_{c max}) and hit the calculate button. Here is how the Average length of Chip given Average volume of each Chip calculation can be explained with given input values -> 1200 = (6*1.512E-07)/(0.0075*0.006).

FAQ

What is Average length of Chip given Average volume of each Chip?

The Average length of Chip given Average volume of each Chip is the average of the actual length of the chip formed and is represented as l_c = (6*V₀)/(a_{w max}*a_{c max}) or Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding). Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding, Maximum width of chip in Grinding is defined as the maximum amount of chip width that can be obtained during grinding & Maximum Undeformed Chip Thickness in Grinding is the maximum thickness of an undeformed chip after grinding operation.

How to calculate Average length of Chip given Average volume of each Chip?

The Average length of Chip given Average volume of each Chip is the average of the actual length of the chip formed is calculated using Average Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding). To calculate Average length of Chip given Average volume of each Chip, you need Average volume of each Chip (V₀), Maximum width of chip in Grinding (a_{w max}) & Maximum Undeformed Chip Thickness in Grinding (a_{c max}). With our tool, you need to enter the respective value for Average volume of each Chip, Maximum width of chip in Grinding & Maximum Undeformed Chip Thickness in Grinding 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 Average Length of Chip?

In this formula, Average Length of Chip uses Average volume of each Chip, Maximum width of chip in Grinding & Maximum Undeformed Chip Thickness in Grinding. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2

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