Density of Material using Average Temperature rise of Chip from Secondary Deformation Calculator

✖The Rate of Heat Gen in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip-tool contact region.ⓘ Rate of Heat Gen in Secondary Shear Zone [P_f]			+10% -10%
✖The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat Capacity of Workpiece [C]			+10% -10%
✖The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.ⓘ Average Temp Rise of Chip in Secondary Shear Zone [θ_f]			+10% -10%
✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed [V_cutting]			+10% -10%
✖Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.ⓘ Undeformed Chip Thickness [a_c]			+10% -10%
✖Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.ⓘ Depth of Cut [d_cut]			+10% -10%

✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Material using Average Temperature rise of Chip from Secondary Deformation [ρ_{work piece}]

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Formula

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Density of Material using Average Temperature rise of Chip from Secondary Deformation

Formula

`"ρ"_{"work piece"} = "P"_{"f"}/("C"*"θ"_{"f"}*"V"_{"cutting"}*"a"_{"c"}*"d"_{"cut"})`

Example

`"7202.827kg/m³"="400W"/("502J/(kg*K)"*"88.5°C"*"2m/s"*"0.25mm"*"2.5mm")`

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Density of Material using Average Temperature rise of Chip from Secondary Deformation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
ρ_{work piece} = P_f/(C*θ_f*V_cutting*a_c*d_cut)
This formula uses 7 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.
Rate of Heat Gen in Secondary Shear Zone - (Measured in Watt) - The Rate of Heat Gen in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip-tool contact region.
Specific Heat Capacity of Workpiece - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Average Temp Rise of Chip in Secondary Shear Zone - (Measured in Kelvin) - The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

STEP 1: Convert Input(s) to Base Unit

Rate of Heat Gen in Secondary Shear Zone: 400 Watt --> 400 Watt No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion here)
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Depth of Cut: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_{work piece} = P_f/(C*θ_f*V_cutting*a_c*d_cut) --> 400/(502*88.5*2*0.00025*0.0025)

Evaluating ... ...

ρ_{work piece} = 7202.82710964053

STEP 3: Convert Result to Output's Unit

7202.82710964053 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7202.82710964053 ≈ 7202.827 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 » Temperatures in Metal Cutting » Temperature Rise » Density of Material using Average Temperature rise of Chip from Secondary Deformation

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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 Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 20 Temperature Rise Calculators

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone

Go Undeformed Chip Thickness = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Average Temperature Rise*Depth of Cut)

Density of Material using Average Temperature Rise of material under Primary Shear Zone

Go Density of work piece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Specific Heat given Average Temperature Rise of Material under Primary Shear Zone

Go Specific Heat Capacity of Workpiece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Average Temperature Rise*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone

Go Cutting Speed = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut)

Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone

Go Depth of Cut = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Average Temperature Rise)

Average Temperature Rise of Material under Primary Deformation Zone

Go Average Temperature Rise = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation

Go Undeformed Chip Thickness = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut)

Density of Material using Average Temperature rise of Chip from Secondary Deformation

Go Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Specific Heat using Average Temperature Rise of Chip from Secondary Deformation

Go Specific Heat Capacity of Workpiece = Rate of Heat Gen in Secondary Shear Zone/(Average Temp Rise of Chip in Secondary Shear Zone*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation

Go Cutting Speed = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Average Temp Rise of Chip in Secondary Shear Zone*Undeformed Chip Thickness*Depth of Cut)

Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation

Go Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)

Average Temperature rise of chip from Secondary Deformation

Go Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Average Temperature rise of chip from Secondary Deformation within boundary condition

Go Average Temp Rise of Chip in Secondary Shear Zone = Max Temp in Chip in Secondary Deformation Zone/(1.13*sqrt(Thermal Number/Length of Heat Source per Chip Thickness))

Maximum Temperature rise in Chip in Secondary deformation zone

Go Max Temp in Chip in Secondary Deformation Zone = Average Temp Rise of Chip in Secondary Shear Zone*1.13*sqrt(Thermal Number/Length of Heat Source per Chip Thickness)

Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone

Go Length of Heat Source per Chip Thickness = Thermal Number/((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone

Go Thermal Number = Length of Heat Source per Chip Thickness*((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)

Initial Workpiece Temperature using Maximum Temperature in Secondary Deformation Zone

Go Initial Workpiece Temperature = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Secondary Deformation-Temperature Rise in Primary Deformation

Temperature Rise of Material in Secondary Deformation Zone

Go Temperature Rise in Secondary Deformation = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Primary Deformation-Initial Workpiece Temperature

Temperature rise of material in primary deformation zone

Go Temperature Rise in Primary Deformation = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Secondary Deformation-Initial Workpiece Temperature

Maximum temperature in secondary deformation zone

Go Max Temp in Chip in Secondary Deformation Zone = Temperature Rise in Secondary Deformation+Temperature Rise in Primary Deformation+Initial Workpiece Temperature

Density of Material using Average Temperature rise of Chip from Secondary Deformation Formula

What is density of workpiece?

Density is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume. An object made from a comparatively dense material (such as iron) will have less volume than an object of equal mass made from some less dense substance (such as water).

How to Calculate Density of Material using Average Temperature rise of Chip from Secondary Deformation?

Density of Material using Average Temperature rise of Chip from Secondary Deformation calculator uses Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut) to calculate the Density of work piece, The Density of material using Average Temperature rise of chip from Secondary Deformation is defined as the ratio of the mass of the chip formed per unit of the volume of the chip. Density of work piece is denoted by ρ_{work piece} symbol.

How to calculate Density of Material using Average Temperature rise of Chip from Secondary Deformation using this online calculator? To use this online calculator for Density of Material using Average Temperature rise of Chip from Secondary Deformation, enter Rate of Heat Gen in Secondary Shear Zone (P_f), Specific Heat Capacity of Workpiece (C), Average Temp Rise of Chip in Secondary Shear Zone (θ_f), Cutting Speed (V_cutting), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Density of Material using Average Temperature rise of Chip from Secondary Deformation calculation can be explained with given input values -> 7202.827 = 400/(502*88.5*2*0.00025*0.0025).

FAQ

What is Density of Material using Average Temperature rise of Chip from Secondary Deformation?

The Density of material using Average Temperature rise of chip from Secondary Deformation is defined as the ratio of the mass of the chip formed per unit of the volume of the chip and is represented as ρ_{work piece} = P_f/(C*θ_f*V_cutting*a_c*d_cut) or Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut). The Rate of Heat Gen in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip-tool contact region, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone, Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute), Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

How to calculate Density of Material using Average Temperature rise of Chip from Secondary Deformation?

The Density of material using Average Temperature rise of chip from Secondary Deformation is defined as the ratio of the mass of the chip formed per unit of the volume of the chip is calculated using Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut). To calculate Density of Material using Average Temperature rise of Chip from Secondary Deformation, you need Rate of Heat Gen in Secondary Shear Zone (P_f), Specific Heat Capacity of Workpiece (C), Average Temp Rise of Chip in Secondary Shear Zone (θ_f), Cutting Speed (V_cutting), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut). With our tool, you need to enter the respective value for Rate of Heat Gen in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Average Temp Rise of Chip in Secondary Shear Zone, Cutting Speed, Undeformed Chip Thickness & Depth of Cut 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 Density of work piece?

In this formula, Density of work piece uses Rate of Heat Gen in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Average Temp Rise of Chip in Secondary Shear Zone, Cutting Speed, Undeformed Chip Thickness & Depth of Cut. We can use 1 other way(s) to calculate the same, which is/are as follows -

Density of work piece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

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