Average length of Chip given Average volume of each Chip Calculator

✖Average volume of each chip is defined as the overall average of the volume of each chip formed during the grinding.ⓘ Average Volume of Each Chip [V₀]			+10% -10%
✖Maximum width of chip is defined as the theoretical widest part a chip could have after being removed from the workpiece by a single abrasive grain on the grinding wheel.ⓘ Maximum Width of Chip [w_gcMax]			+10% -10%
✖Maximum Undeformed Chip Thickness 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.ⓘ Maximum Undeformed Chip Thickness [t_gcMax]			+10% -10%

✖Average Length of a Chip is the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece surface.ⓘ 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"})/("w"_{"gcMax"}*"t"_{"gcMax"})`

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 a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)
l_c = (6*V₀)/(w_gcMax*t_gcMax)
This formula uses 4 Variables

Variables Used

Average Length of a Chip - (Measured in Meter) - Average Length of a Chip is the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece surface.
Average Volume of Each Chip - (Measured in Cubic Meter) - Average volume of each chip is defined as the overall average of the volume of each chip formed during the grinding.
Maximum Width of Chip - (Measured in Meter) - Maximum width of chip is defined as the theoretical widest part a chip could have after being removed from the workpiece by a single abrasive grain on the grinding wheel.
Maximum Undeformed Chip Thickness - (Measured in Meter) - Maximum Undeformed Chip Thickness 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.

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: 7.5 Millimeter --> 0.0075 Meter (Check conversion here)
Maximum Undeformed Chip Thickness: 6 Millimeter --> 0.006 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = (6*V₀)/(w_gcMax*t_gcMax) --> (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 a Chip

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grinding Chip » Average length of Chip given Average volume of each Chip

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 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)

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 a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)

Maximum Width of Chip given Average volume of each Chip

Go Maximum Width of Chip = (6*Average Volume of Each Chip)/(Maximum Undeformed Chip Thickness*Average Length of a Chip)

Angle made by length of chip given Infeed

Go Angle Made by The Length of The Chip = acos(1-(2*Infeed Provided by Grinding Wheel)/Diameter of Grinding Wheel Tool)

Infeed for given Angle made by length of chip

Go Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness = 6*Average Volume of Each Chip/(Maximum Width of Chip*Average Length of a Chip)

Average Volume of each Chip

Go Average Volume of Each Chip = Maximum Width of Chip*Maximum Undeformed Chip Thickness*Average Length of a Chip/6

Angle made by length of chip

Go Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool)

Average length of chip

Go Average Length of a Chip = Diameter of Grinding Wheel Tool*sin(Angle Made by The Length of The Chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed Provided by Grinding Wheel*Diameter of Grinding Wheel Tool)

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 Provided by Grinding Wheel = (Average Chip Length^2)/Diameter of Grinding Wheel Tool

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum Width of Chip = Grain Aspect Ratio in Grinding*Maximum Undeformed Chip Thickness

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness = Maximum Width of Chip/Grain Aspect Ratio in Grinding

Average length of Chip given Average volume of each Chip Formula

Average Length of a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)
l_c = (6*V₀)/(w_gcMax*t_gcMax)

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 a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness) to calculate the Average Length of a Chip, Average length of Chip given Average volume of each Chip calculates the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece, when overall volume of each indiviual chip during machining is known. This parameter gives us insight about the operational condition of the grinding wheel. Average Length of a 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 (w_gcMax) & Maximum Undeformed Chip Thickness (t_gcMax) 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?

Average length of Chip given Average volume of each Chip calculates the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece, when overall volume of each indiviual chip during machining is known. This parameter gives us insight about the operational condition of the grinding wheel and is represented as l_c = (6*V₀)/(w_gcMax*t_gcMax) or Average Length of a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness). Average volume of each chip is defined as the overall average of the volume of each chip formed during the grinding, Maximum width of chip is defined as the theoretical widest part a chip could have after being removed from the workpiece by a single abrasive grain on the grinding wheel & Maximum Undeformed Chip Thickness 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.

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

Average length of Chip given Average volume of each Chip calculates the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece, when overall volume of each indiviual chip during machining is known. This parameter gives us insight about the operational condition of the grinding wheel is calculated using Average Length of a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness). To calculate Average length of Chip given Average volume of each Chip, you need Average Volume of Each Chip (V₀), Maximum Width of Chip (w_gcMax) & Maximum Undeformed Chip Thickness (t_gcMax). With our tool, you need to enter the respective value for Average Volume of Each Chip, Maximum Width of Chip & Maximum Undeformed Chip Thickness 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 a Chip?

In this formula, Average Length of a Chip uses Average Volume of Each Chip, Maximum Width of Chip & Maximum Undeformed Chip Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Length of a Chip = Diameter of Grinding Wheel Tool*sin(Angle Made by The Length of The Chip)/2

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