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

✖Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.ⓘ Fraction of Heat Conducted into The Workpiece [Γ]			+10% -10%
✖The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.ⓘ Rate of Heat Generation in Primary Shear Zone [P_s]			+10% -10%
✖Average Temperature Rise is defined as the actual amount of increase in the temperature.ⓘ Average Temperature Rise [θ_avg]			+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%
✖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_cut]			+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%

✖Density of Work Piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Material using Average Temperature Rise of material under Primary Shear Zone [ρ_wp]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
ρ_wp = ((1-Γ)*P_s)/(θ_avg*C*V_cut*a_c*d_cut)
This formula uses 8 Variables

Variables Used

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.
Fraction of Heat Conducted into The Workpiece - Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.
Rate of Heat Generation in Primary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.
Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
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.
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

Fraction of Heat Conducted into The Workpiece: 0.1 --> No Conversion Required
Rate of Heat Generation in Primary Shear Zone: 1380 Watt --> 1380 Watt No Conversion Required
Average Temperature Rise: 274.9 Degree Celsius --> 274.9 Kelvin (Check conversion here)
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
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_wp = ((1-Γ)*P_s)/(θ_avg*C*V_cut*a_c*d_cut) --> ((1-0.1)*1380)/(274.9*502*2*0.00025*0.0025)

Evaluating ... ...

ρ_wp = 7200.01043479773

STEP 3: Convert Result to Output's Unit

7200.01043479773 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7200.01043479773 ≈ 7200.01 Kilogram per Cubic Meter <-- Density of Work Piece

(Calculation completed in 00.020 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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)

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

LaTeX Go

what is Density?

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 material under Primary Shear Zone?

Density of Material using Average Temperature Rise of material under Primary Shear Zone calculator uses 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) to calculate the Density of Work Piece, The Density of Material using Average Temperature rise of material under Primary Shear Zone is defined as the ratio of mass per unit volume of the workpiece. Density of Work Piece is denoted by ρ_wp symbol.

How to calculate Density of Material using Average Temperature Rise of material under Primary Shear Zone using this online calculator? To use this online calculator for Density of Material using Average Temperature Rise of material under Primary Shear Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Average Temperature Rise (θ_avg), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), 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 material under Primary Shear Zone calculation can be explained with given input values -> 7200.01 = ((1-0.1)*1380)/(274.9*502*2*0.00025*0.0025).

FAQ

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

The Density of Material using Average Temperature rise of material under Primary Shear Zone is defined as the ratio of mass per unit volume of the workpiece and is represented as ρ_wp = ((1-Γ)*P_s)/(θ_avg*C*V_cut*a_c*d_cut) or 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). Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip, The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining, Average Temperature Rise is defined as the actual amount of increase in the temperature, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, 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 material under Primary Shear Zone?

The Density of Material using Average Temperature rise of material under Primary Shear Zone is defined as the ratio of mass per unit volume of the workpiece is calculated using 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). To calculate Density of Material using Average Temperature Rise of material under Primary Shear Zone, you need Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Average Temperature Rise (θ_avg), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut). With our tool, you need to enter the respective value for 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 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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