Average length of chip Calculator

✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%
✖Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.ⓘ Angle made by the length of the chip [θ]			+10% -10%

✖The Length of Chip is the actual length of the chip formed.ⓘ Average length of chip [l_c]

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Formula

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Average length of chip

Formula

`"l"_{"c"} = "d"_{"t"}*sin("θ")/2`

Example

`"14.84424mm"="120mm"*sin("0.25rad")/2`

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Average length of chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2
l_c = d_t*sin(θ)/2
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Length of Chip - (Measured in Meter) - The Length of Chip is the actual length of the chip formed.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Angle made by the length of the chip - (Measured in Radian) - Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.

STEP 1: Convert Input(s) to Base Unit

Diameter of Grinding Tool Wheel: 120 Millimeter --> 0.12 Meter (Check conversion here)
Angle made by the length of the chip: 0.25 Radian --> 0.25 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = d_t*sin(θ)/2 --> 0.12*sin(0.25)/2

Evaluating ... ...

l_c = 0.0148442375552714

STEP 3: Convert Result to Output's Unit

0.0148442375552714 Meter -->14.8442375552714 Millimeter (Check conversion here)

FINAL ANSWER

14.8442375552714 ≈ 14.84424 Millimeter <-- Length of 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

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 = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of 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 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 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 Length of 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*Length of Chip)

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*Length of Chip)

Average Volume of each Chip

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

Angle made by length of chip

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

Average length of chip

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

Angle made by length of chip given Infeed

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

Infeed for given Angle made by length of chip

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

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

Average Volume of each chip given metal removal rate in grinding

Go Average volume of each Chip = 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

Average length of chip given Infeed

Go Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

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

Maximum undeformed chip thickness

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

Infeed given Diameter of wheel and average length of chip

Go Feed = (Length of Chip^2)/Diameter of Grinding Tool Wheel

Average length of chip Formula

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

What are the different types of grinding?

Surface grinding.
Cylindrical grinding.
Internal grinding.
Centerless grinding.
Contour grinding.
Gear grinding.
Thread grinding.

How to Calculate Average length of chip?

Average length of chip calculator uses Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2 to calculate the Length of Chip, The Average length of chip formula is defined as the average length of the chip formed while grinding. Length of Chip is denoted by l_c symbol.

How to calculate Average length of chip using this online calculator? To use this online calculator for Average length of chip, enter Diameter of Grinding Tool Wheel (d_t) & Angle made by the length of the chip (θ) and hit the calculate button. Here is how the Average length of chip calculation can be explained with given input values -> 14844.24 = 0.12*sin(0.25)/2.

FAQ

What is Average length of chip?

The Average length of chip formula is defined as the average length of the chip formed while grinding and is represented as l_c = d_t*sin(θ)/2 or Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2. The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding & Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.

How to calculate Average length of chip?

The Average length of chip formula is defined as the average length of the chip formed while grinding is calculated using Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2. To calculate Average length of chip, you need Diameter of Grinding Tool Wheel (d_t) & Angle made by the length of the chip (θ). With our tool, you need to enter the respective value for Diameter of Grinding Tool Wheel & Angle made by the length of the chip 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 Length of Chip?

In this formula, Length of Chip uses Diameter of Grinding Tool Wheel & Angle made by the length of the chip. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)
Length of Chip = (6*Average volume of each Chip)/(Maximum width of chip*Maximum Undeformed Chip Thickness)

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