Density of Workpiece given Thickness of Chip Calculator

✖Mass of Chip is the actual mass of the chip obtained.ⓘ Mass of Chip [m_c]			+10% -10%
✖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 Workpiece given Thickness of Chip [ρ_{work piece}]

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Formula

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Density of Workpiece given Thickness of Chip

Formula

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

Example

`"7849.998kg/m³"="18.54562mg"/("0.75mm"*"1.26mm"*"2.5mm")`

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Density of Workpiece given Thickness of Chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Mass of Chip: 18.54562 Milligram --> 1.854562E-05 Kilogram (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_{work piece} = m_c/(a_o*l_c*a_w) --> 1.854562E-05/(0.00075*0.00126*0.0025)

Evaluating ... ...

ρ_{work piece} = 7849.99788359788

STEP 3: Convert Result to Output's Unit

7849.99788359788 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7849.99788359788 ≈ 7849.998 Kilogram per Cubic Meter <-- Density of work piece

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Density of Workpiece 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

Density of Workpiece given Thickness of Chip Formula

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

What is the importance of chip thickness ratio?

Chip thickness ratio, also called cutting ratio (rcu), is one important parameter for machining analysis as it indicates the deformation (elongation) of the chip in its thickness.

How to Calculate Density of Workpiece given Thickness of Chip?

Density of Workpiece given Thickness of Chip calculator uses Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip) to calculate the Density of work piece, The Density of Workpiece given Thickness of Chip is defined as the ratio of the mass per unit of the volume of the workpiece specimen. Density of work piece is denoted by ρ_{work piece} symbol.

How to calculate Density of Workpiece given Thickness of Chip using this online calculator? To use this online calculator for Density of Workpiece given Thickness of Chip, enter Mass of Chip (m_c), Chip Thickness (a_o), Length of Chip (l_c) & Width of Chip (a_w) and hit the calculate button. Here is how the Density of Workpiece given Thickness of Chip calculation can be explained with given input values -> 7849.998 = 1.854562E-05/(0.00075*0.00126*0.0025).

FAQ

What is Density of Workpiece given Thickness of Chip?

The Density of Workpiece given Thickness of Chip is defined as the ratio of the mass per unit of the volume of the workpiece specimen and is represented as ρ_{work piece} = m_c/(a_o*l_c*a_w) or Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip). Mass of Chip is the actual mass of the chip obtained, 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.

How to calculate Density of Workpiece given Thickness of Chip?

The Density of Workpiece given Thickness of Chip is defined as the ratio of the mass per unit of the volume of the workpiece specimen is calculated using Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip). To calculate Density of Workpiece given Thickness of Chip, you need Mass of Chip (m_c), Chip Thickness (a_o), Length of Chip (l_c) & Width of Chip (a_w). With our tool, you need to enter the respective value for Mass of Chip, Chip Thickness, Length of Chip & Width of Chip 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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