Tool temperature Calculator

✖Constant for Tool Temperature is a Constant for tool temperature determination.ⓘ Constant for Tool Temperature [C₀]			+10% -10%
✖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.ⓘ Specific Cutting Energy per unit Cutting Force [U_s]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Area of Cut is the area which is to be cut using cutting tool.ⓘ Area of Cut [A]			+10% -10%
✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖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.ⓘ Specific Heat Capacity of work [c]			+10% -10%

✖Tool Temperature is the temperature reached during cutting for tool.ⓘ Tool temperature [θ]

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Formula

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Tool temperature

Formula

`"θ" = ("C"_{"0"}*"U"_{"s"}*"V"^0.44*"A"^0.22)/("k"^0.44*"c"^0.56)`

Example

`"412.827°C"=("0.29"*"200kJ/kg"*("50m/min")^0.44*("45m²")^0.22)/(("48W/(m*K)")^0.44*("510J/(kg*K)")^0.56)`

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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^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of work^0.56)
θ = (C₀*U_s*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 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 - (Measured in Meter per Second) - The Cutting Velocity 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: 50 Meter per Minute --> 0.833333333333333 Meter per Second (Check conversion here)
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*U_s*V^0.44*A^0.22)/(k^0.44*c^0.56) --> (0.29*200000*0.833333333333333^0.44*45^0.22)/(48^0.44*510^0.56)

Evaluating ... ...

θ = 685.977001111214

STEP 3: Convert Result to Output's Unit

685.977001111214 Kelvin -->412.827001111214 Celsius (Check conversion here)

FINAL ANSWER

412.827001111214 ≈ 412.827 Celsius <-- Tool Temperature

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Tool Life and Tool Wear » Tool Life » Tool temperature

Credits

Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

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!

< 10+ Tool Life Calculators

Tool temperature

Go Tool Temperature = (Constant for Tool Temperature*Specific Cutting Energy per unit Cutting Force*Cutting Velocity^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of work^0.56)

Reference tool life given distance moved by tool corner

Go Reference Tool Life = Tool Life/((Cutting Speed*Machining Time/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Tool life given distance moved by tool corner

Go Tool Life = Reference Tool Life*(Cutting Speed*Machining Time/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent)

Reference cutting speed given tool life and distance moved by tool corner

Go Cutting Speed = ((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)*Constant For Machining Condition/Machining Time

Machining time given tool life and distance moved by tool corner

Go Machining Time = ((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)*Constant For Machining Condition/Cutting Speed

Distance moved by tool corner given tool life and machining time

Go Constant For Machining Condition = ((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent)*Machining Time*Cutting Speed

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition

Go Tool Life = Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)

Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed

Go Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity)

Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed

Go Feed Rate = Volume of Metal Removed/(Tool Life*Cutting Velocity*Depth of Cut)

Volume of Metal removed given Cutting Velocity and Tool Life

Go Volume of Metal Removed = Tool Life*Cutting Velocity*Feed Rate*Depth of Cut

Tool temperature Formula

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^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 (U_s), Cutting Velocity (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 -> 1510.104 = (0.29*200000*0.833333333333333^0.44*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*U_s*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^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 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 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^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 (U_s), Cutting Velocity (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, 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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