Mass of Chip given Thickness of Chip Calculator

✖Chip Thickness is defined as the actual thickness of the chip after cutting.ⓘ Chip Thickness [a_o]			+10% -10%
✖The Length of Chip is the actual length of the chip formed.ⓘ Length of Chip [l_c]			+10% -10%
✖The Width of Chip is the actual width of the chip formed.ⓘ Width of Chip [a_w]			+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%

✖Mass of Chip is the actual mass of the chip obtained.ⓘ Mass of Chip given Thickness of Chip [m_c]

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Formula

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Mass of Chip given Thickness of Chip

Formula

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

Example

`"18.54562mg"="0.75mm"*"1.26mm"*"2.5mm"*"7850kg/m³"`

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Mass of Chip given Thickness of Chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Mass of Chip - (Measured in Kilogram) - Mass of Chip is the actual mass of the chip obtained.
Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.
Length of Chip - (Measured in Meter) - The Length of Chip is the actual length of the chip formed.
Width of Chip - (Measured in Meter) - The Width of Chip is the actual width of the chip formed.
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

Chip Thickness: 0.75 Millimeter --> 0.00075 Meter (Check conversion here)
Length of Chip: 1.26 Millimeter --> 0.00126 Meter (Check conversion here)
Width of Chip: 2.5 Millimeter --> 0.0025 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

m_c = a_o*l_c*a_w*ρ_{work piece} --> 0.00075*0.00126*0.0025*7850

Evaluating ... ...

m_c = 1.8545625E-05

STEP 3: Convert Result to Output's Unit

1.8545625E-05 Kilogram -->18.545625 Milligram (Check conversion here)

FINAL ANSWER

18.545625 ≈ 18.54562 Milligram <-- Mass of Chip

(Calculation completed in 00.021 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Mass of Chip given Thickness of Chip

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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

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< 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

Mass of Chip given Thickness of Chip Formula

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

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 Mass of Chip given Thickness of Chip?

Mass of Chip given Thickness of Chip calculator uses Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece to calculate the Mass of Chip, Mass of chip given thickness of chip is defined as the actual mass of the chip specimen which is formed by machining. Mass of Chip is denoted by m_c symbol.

How to calculate Mass of Chip given Thickness of Chip using this online calculator? To use this online calculator for Mass of Chip given Thickness of Chip, enter Chip Thickness (a_o), Length of Chip (l_c), Width of Chip (a_w) & Density of work piece (ρ_{work piece}) and hit the calculate button. Here is how the Mass of Chip given Thickness of Chip calculation can be explained with given input values -> 1.9E+7 = 0.00075*0.00126*0.0025*7850.

FAQ

What is Mass of Chip given Thickness of Chip?

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

How to calculate Mass of Chip given Thickness of Chip?

Mass of chip given thickness of chip is defined as the actual mass of the chip specimen which is formed by machining is calculated using Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece. To calculate Mass of Chip given Thickness of Chip, you need Chip Thickness (a_o), Length of Chip (l_c), Width of Chip (a_w) & Density of work piece (ρ_{work piece}). With our tool, you need to enter the respective value for Chip Thickness, Length of Chip, Width of Chip & 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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