Tool temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56)
θ = (C0*Us*V^0.44*A^0.22)/(k^0.44*c^0.56)
This formula uses 7 Variables
Variables Used
Tool Temperature - (Measured in Kelvin) - Tool Temperature is the temperature reached during cutting for tool.
Constant For Tool Temperature - Constant For Tool Temperature is a constant for the tool temperature determination.
Specific Cutting Energy Per Unit Cutting Force - (Measured in Joule per Kilogram) - Specific Cutting Energy Per Unit Cutting Force is a crucial parameter in machining processes. It quantifies the energy required to remove a unit volume of material during cutting operations.
Cutting Velocity in Tool Life - (Measured in Meter per Second) - The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Area of Cut - (Measured in Square Meter) - Area of Cut is the area which is to be cut using cutting tool.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is the rate of heat flow through a material, expressed as the amount of heat flow per unit time through a unit area with a temperature gradient of one degree per unit distance.
Specific Heat Capacity of Work - (Measured in Joule per Kilogram per K) - Specific Heat Capacity of Work is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
STEP 1: Convert Input(s) to Base Unit
Constant For Tool Temperature: 0.29 --> No Conversion Required
Specific Cutting Energy Per Unit Cutting Force: 200 Kilojoule per Kilogram --> 200000 Joule per Kilogram (Check conversion ​here)
Cutting Velocity in Tool Life: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Area of Cut: 45 Square Meter --> 45 Square Meter No Conversion Required
Thermal Conductivity: 48 Watt per Meter per K --> 48 Watt per Meter per K No Conversion Required
Specific Heat Capacity of Work: 510 Joule per Kilogram per K --> 510 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = (C0*Us*V^0.44*A^0.22)/(k^0.44*c^0.56) --> (0.29*200000*0.833333^0.44*45^0.22)/(48^0.44*510^0.56)
Evaluating ... ...
θ = 685.976880379248
STEP 3: Convert Result to Output's Unit
685.976880379248 Kelvin -->412.826880379248 Celsius (Check conversion ​here)
FINAL ANSWER
412.826880379248 412.8269 Celsius <-- Tool Temperature
(Calculation completed in 00.004 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

Tool Life Calculators

Tool temperature
​ LaTeX ​ Go Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56)
Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed
​ LaTeX ​ Go Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life)
Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed
​ LaTeX ​ Go Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth)
Volume of Metal removed given Cutting Velocity and Tool Life
​ LaTeX ​ Go Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth

Tool temperature Formula

​LaTeX ​Go
Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56)
θ = (C0*Us*V^0.44*A^0.22)/(k^0.44*c^0.56)

What is tool life?

Tool life represents the useful life of the tool, generally expressed in time units from the start of a cut to an end point defined by a failure criterion. A tool that no longer performs the desired function is said to have failed and hence reached the end of its useful life. At such an end point the tool is not necessarily unable to cut the work piece but is merely unsatisfactory for the purpose . The tool may be re-sharpened and used again.

How to Calculate Tool temperature?

Tool temperature calculator uses Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56) to calculate the Tool Temperature, The Tool temperature formula is defined as the increase in temperature because of machining heat. This is calculated using specific energy per unit of cutting force used. Tool Temperature is denoted by θ symbol.

How to calculate Tool temperature using this online calculator? To use this online calculator for Tool temperature, enter Constant For Tool Temperature (C0), Specific Cutting Energy Per Unit Cutting Force (Us), Cutting Velocity in Tool Life (V), Area of Cut (A), Thermal Conductivity (k) & Specific Heat Capacity of Work (c) and hit the calculate button. Here is how the Tool temperature calculation can be explained with given input values -> 139.677 = (0.29*200000*0.833333^0.44*45^0.22)/(48^0.44*510^0.56).

FAQ

What is Tool temperature?
The Tool temperature formula is defined as the increase in temperature because of machining heat. This is calculated using specific energy per unit of cutting force used and is represented as θ = (C0*Us*V^0.44*A^0.22)/(k^0.44*c^0.56) or Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56). Constant For Tool Temperature is a constant for the tool temperature determination, Specific Cutting Energy Per Unit Cutting Force is a crucial parameter in machining processes. It quantifies the energy required to remove a unit volume of material during cutting operations, The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Area of Cut is the area which is to be cut using cutting tool, Thermal Conductivity is the rate of heat flow through a material, expressed as the amount of heat flow per unit time through a unit area with a temperature gradient of one degree per unit distance & Specific Heat Capacity of Work is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
How to calculate Tool temperature?
The Tool temperature formula is defined as the increase in temperature because of machining heat. This is calculated using specific energy per unit of cutting force used is calculated using Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56). To calculate Tool temperature, you need Constant For Tool Temperature (C0), Specific Cutting Energy Per Unit Cutting Force (Us), Cutting Velocity in Tool Life (V), Area of Cut (A), Thermal Conductivity (k) & Specific Heat Capacity of Work (c). With our tool, you need to enter the respective value for Constant For Tool Temperature, Specific Cutting Energy Per Unit Cutting Force, Cutting Velocity in Tool Life, Area of Cut, Thermal Conductivity & Specific Heat Capacity of Work 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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