Width of Chip given Thickness of Chip Calculator

✖Mass of Chip is the actual mass of the chip obtained.ⓘ Mass of Chip [m_c]			+10% -10%
✖The Length of Chip is the actual length of the chip formed.ⓘ Length of Chip [l_c]			+10% -10%
✖Chip Thickness is defined as the actual thickness of the chip after cutting.ⓘ Chip Thickness [a_o]			+10% -10%
✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of work piece [ρ_{work piece}]			+10% -10%

✖The Width of Chip is the actual width of the chip formed.ⓘ Width of Chip given Thickness of Chip [a_w]

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Formula

✖

Width of Chip given Thickness of Chip

Formula

`"a"_{"w"} = "m"_{"c"}/("l"_{"c"}*"a"_{"o"}*"ρ"_{"work piece"})`

Example

`"2.499999mm"="18.54562mg"/("1.26mm"*"0.75mm"*"7850kg/m³")`

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Width of Chip given Thickness of Chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)
a_w = m_c/(l_c*a_o*ρ_{work piece})
This formula uses 5 Variables

Variables Used

Width of Chip - (Measured in Meter) - The Width of Chip is the actual width of the chip formed.
Mass of Chip - (Measured in Kilogram) - Mass of Chip is the actual mass of the chip obtained.
Length of Chip - (Measured in Meter) - The Length of Chip is the actual length of the chip formed.
Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.
Density of work piece - (Measured in Kilogram per Cubic Meter) - The Density of work piece is the mass per unit volume ratio of the material of workpiece.

STEP 1: Convert Input(s) to Base Unit

Mass of Chip: 18.54562 Milligram --> 1.854562E-05 Kilogram (Check conversion here)
Length of Chip: 1.26 Millimeter --> 0.00126 Meter (Check conversion here)
Chip Thickness: 0.75 Millimeter --> 0.00075 Meter (Check conversion here)
Density of work piece: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_w = m_c/(l_c*a_o*ρ_{work piece}) --> 1.854562E-05/(0.00126*0.00075*7850)

Evaluating ... ...

a_w = 0.00249999932598659

STEP 3: Convert Result to Output's Unit

0.00249999932598659 Meter -->2.49999932598659 Millimeter (Check conversion here)

FINAL ANSWER

2.49999932598659 ≈ 2.499999 Millimeter <-- Width of Chip

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Width of Chip given Thickness 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 Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 25 Chip Control Calculators

Chip breaker height given Chip breaker wedge angle

Go Chip Breaker Height = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle)

Radius of Chip given Chip breaker wedge angle

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))

Length of chip tool contact given Chip breaker wedge angle

Go Length of Chip Tool Contact = Chip-Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle))

Chip breaker distance given Chip breaker wedge angle

Go Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact

Length of chip tool contact given radius of chip curvature

Go Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Chip breaker distance given radius of chip curvature

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact

Chip break distance when material constant is unity

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness

Chip Thickness when material constant is unity

Go Chip Thickness = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Radius of Chip curvature

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Radius of Chip curvature when material constant is unity

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Density of Workpiece given Thickness of Chip

Go Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip)

Length of Chip using Thickness of Chip

Go Length of Chip = Mass of Chip/(Chip Thickness*Width of Chip*Density of work piece)

Width of Chip given Thickness of Chip

Go Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)

Chip Thickness

Go Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)

Mass of Chip given Thickness of Chip

Go Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece

Metal Removal Rate given Specific Cutting Energy

Go Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining

Undeformed Chip Thickness using Length of Shear Plane of Chip

Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear angle)

Length of Shear Plane of Chip

Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

Go Cross-sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Chip thickness given length of chip tool contact

Go Chip Thickness = Length of Chip Tool Contact/Material Constant

Undeformed Chip Thickness using Cutting Ratio

Go Undeformed Chip Thickness = Cutting Ratio*Uncut Chip Thickness

Constant for length of chip tool contact

Go Material Constant = Length of Chip Tool Contact/Chip Thickness

Chip Thickness given Cutting Ratio

Go Uncut Chip Thickness = Undeformed Chip Thickness/Cutting Ratio

Length of chip tool contact

Go Length of Chip Tool Contact = Chip Thickness*Material Constant

Cutting Ratio

Go Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness

Width of Chip given Thickness of Chip Formula

Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)
a_w = m_c/(l_c*a_o*ρ_{work piece})

Why is the chip always thicker than the depth of cut?

During cutting, the cutting edge of the tool is positioned a certain distance below the original work surface. This corresponds to the thickness of the chip prior to chip formation. As the chip is formed along the shear plane, its thickness increases to tc.

How to Calculate Width of Chip given Thickness of Chip?

Width of Chip given Thickness of Chip calculator uses Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece) to calculate the Width of Chip, The width of chip given thickness of chip is defined as the width of the chip specimen taken under consideration. Width of Chip is denoted by a_w symbol.

How to calculate Width of Chip given Thickness of Chip using this online calculator? To use this online calculator for Width of Chip given Thickness of Chip, enter Mass of Chip (m_c), Length of Chip (l_c), Chip Thickness (a_o) & Density of work piece (ρ_{work piece}) and hit the calculate button. Here is how the Width of Chip given Thickness of Chip calculation can be explained with given input values -> 2499.999 = 1.854562E-05/(0.00126*0.00075*7850).

FAQ

What is Width of Chip given Thickness of Chip?

The width of chip given thickness of chip is defined as the width of the chip specimen taken under consideration and is represented as a_w = m_c/(l_c*a_o*ρ_{work piece}) or Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece). Mass of Chip is the actual mass of the chip obtained, The Length of Chip is the actual length of the chip formed, Chip Thickness is defined as the actual thickness of the chip after cutting & The Density of work piece is the mass per unit volume ratio of the material of workpiece.

How to calculate Width of Chip given Thickness of Chip?

The width of chip given thickness of chip is defined as the width of the chip specimen taken under consideration is calculated using Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece). To calculate Width of Chip given Thickness of Chip, you need Mass of Chip (m_c), Length of Chip (l_c), Chip Thickness (a_o) & Density of work piece (ρ_{work piece}). With our tool, you need to enter the respective value for Mass of Chip, Length of Chip, Chip Thickness & Density of work piece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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