Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Speed = Rate of Heat Generation 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)
Vcut = Pf/(C*ρwp*θf*ac*dcut)
This formula uses 7 Variables
Variables Used
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).
Rate of Heat Generation in Secondary Shear Zone - (Measured in Watt) - The Rate of Heat Generation 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.
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
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.
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 Generation 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
Density of Work Piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion ​here)
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
Vcut = Pf/(C*ρwpf*ac*dcut) --> 400/(502*7200*88.5*0.00025*0.0025)
Evaluating ... ...
Vcut = 2.00078530823348
STEP 3: Convert Result to Output's Unit
2.00078530823348 Meter per Second --> No Conversion Required
FINAL ANSWER
2.00078530823348 2.000785 Meter per Second <-- Cutting Speed
(Calculation completed in 00.004 seconds)

Credits

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Temperature Rise Calculators

Density of Material using Average Temperature Rise of material under Primary Shear Zone
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)
Average Temperature Rise of Material under Primary Deformation Zone
​ LaTeX ​ 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)

Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation Formula

​LaTeX ​Go
Cutting Speed = Rate of Heat Generation 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)
Vcut = Pf/(C*ρwp*θf*ac*dcut)

What does cutting speed indicate?

Cutting speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Feed rate is defined as the distance the tool travels during one revolution of the part. Cutting speed and feed determines the surface finish, power requirements, and material removal rate.

How to Calculate Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation?

Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation calculator uses Cutting Speed = Rate of Heat Generation 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) to calculate the Cutting Speed, The Cutting Speed using Average Temperature rise of chip from Secondary Deformation is defined as the speed (usually in feet per minute) of a tool when it is cutting the work. Cutting Speed is denoted by Vcut symbol.

How to calculate Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation using this online calculator? To use this online calculator for Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation, enter Rate of Heat Generation in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of Work Piece wp), Average Temp Rise of Chip in Secondary Shear Zone f), Undeformed Chip Thickness (ac) & Depth of Cut (dcut) and hit the calculate button. Here is how the Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation calculation can be explained with given input values -> 2 = 400/(502*7200*88.5*0.00025*0.0025).

FAQ

What is Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation?
The Cutting Speed using Average Temperature rise of chip from Secondary Deformation is defined as the speed (usually in feet per minute) of a tool when it is cutting the work and is represented as Vcut = Pf/(C*ρwpf*ac*dcut) or Cutting Speed = Rate of Heat Generation 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). The Rate of Heat Generation 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, Density of Work Piece is the mass per unit volume ratio of the material of workpiece, The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone, 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 Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation?
The Cutting Speed using Average Temperature rise of chip from Secondary Deformation is defined as the speed (usually in feet per minute) of a tool when it is cutting the work is calculated using Cutting Speed = Rate of Heat Generation 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). To calculate Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation, you need Rate of Heat Generation in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of Work Piece wp), Average Temp Rise of Chip in Secondary Shear Zone f), Undeformed Chip Thickness (ac) & Depth of Cut (dcut). With our tool, you need to enter the respective value for Rate of Heat Generation 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 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 Cutting Speed?
In this formula, Cutting Speed uses Rate of Heat Generation 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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