Cutting Speed from Tool Temperature Calculator

✖Tool Temperature is the temperature reached during cutting for tool.ⓘ Tool Temperature [θ]			+10% -10%
✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows 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 is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [c]			+10% -10%
✖Tool Temperature Constant is a Constant for tool temperature determination.ⓘ Tool Temperature Constant [C₀]			+10% -10%
✖Specific cutting energy, often denoted as "specific cutting energy per unit cutting force"is a measure of the amount of energy required to remove a unit volume of material during a cutting process.ⓘ Specific Cutting Energy [U_s]			+10% -10%
✖Cutting Area is the area which is to be cut using cutting tool.ⓘ Cutting Area [A]			+10% -10%

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Speed from Tool Temperature [V]

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Formula

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Cutting Speed from Tool Temperature

Formula

`"V" = (("θ"*"k"^0.44*"c"^0.56)/("C"_{"0"}*"U"_{"s"}*"A"^0.22))^(100/44)`

Example

`"120m/min"=(("273°C"*("10.18W/(m*K)")^0.44*("4.184kJ/kg*K")^0.56)/("0.29"*"200kJ/kg"*("26.4493m²")^0.22))^(100/44)`

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Cutting Speed from Tool Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44)
V = ((θ*k^0.44*c^0.56)/(C₀*U_s*A^0.22))^(100/44)
This formula uses 7 Variables

Variables Used

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).
Tool Temperature - (Measured in Kelvin) - Tool Temperature is the temperature reached during cutting for tool.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Tool Temperature Constant - Tool Temperature Constant is a Constant for tool temperature determination.
Specific Cutting Energy - (Measured in Joule per Kilogram) - Specific cutting energy, often denoted as "specific cutting energy per unit cutting force"is a measure of the amount of energy required to remove a unit volume of material during a cutting process.
Cutting Area - (Measured in Square Meter) - Cutting Area is the area which is to be cut using cutting tool.

STEP 1: Convert Input(s) to Base Unit

Tool Temperature: 273 Celsius --> 546.15 Kelvin (Check conversion here)
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Tool Temperature Constant: 0.29 --> No Conversion Required
Specific Cutting Energy: 200 Kilojoule per Kilogram --> 200000 Joule per Kilogram (Check conversion here)
Cutting Area: 26.4493 Square Meter --> 26.4493 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((θ*k^0.44*c^0.56)/(C₀*U_s*A^0.22))^(100/44) --> ((546.15*10.18^0.44*4184^0.56)/(0.29*200000*26.4493^0.22))^(100/44)

Evaluating ... ...

V = 1.99999986355394

STEP 3: Convert Result to Output's Unit

1.99999986355394 Meter per Second -->119.999991813237 Meter per Minute (Check conversion here)

FINAL ANSWER

119.999991813237 ≈ 120 Meter per Minute <-- Cutting Velocity

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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< 10+ Mechanics of Orthogonal Cutting Calculators

Thermal Conductivity of Work from Tool Temperature

Go Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44)

Specific Heat of Work from Tool Temperature

Go Specific Heat Capacity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Thermal Conductivity^0.44))^(100/56)

Cutting Speed from Tool Temperature

Go Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44)

Area of Cut from Tool Temperature

Go Cutting Area = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44))^(100/22)

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature

Go Specific Cutting Energy = (Tool Temperature*Specific Heat Capacity^0.56*Thermal Conductivity^0.44)/(Tool Temperature Constant*Cutting Velocity^0.44*Cutting Area^0.22)

Machining Time given Cutting Speed

Go Machining Time = (pi*Workpiece Diameter*Length Of Bar)/(Feed Rate*Cutting Velocity)

Machining Time given Spindle Speed

Go Machining Time = Length Of Bar/(Feed Rate*Spindle Speed)

Cutting Speed given Spindle Speed

Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed

Nose Radius of Tool from Surface Finish Constraint

Go Nose Radius = 0.0321/Constraint on Feed

Surface Finish Constraint

Go Constraint on Feed = 0.0321/Nose Radius

Cutting Speed from 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 Cutting Speed from Tool Temperature?

Cutting Speed from Tool Temperature calculator uses Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44) to calculate the Cutting Velocity, The Cutting speed from tool temperature formula is defined as the speed employed for cutting a particular material using tool. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Speed from Tool Temperature using this online calculator? To use this online calculator for Cutting Speed from Tool Temperature, enter Tool Temperature (θ), Thermal Conductivity (k), Specific Heat Capacity (c), Tool Temperature Constant (C₀), Specific Cutting Energy (U_s) & Cutting Area (A) and hit the calculate button. Here is how the Cutting Speed from Tool Temperature calculation can be explained with given input values -> 5519.927 = ((546.15*10.18^0.44*4184^0.56)/(0.29*200000*26.4493^0.22))^(100/44).

FAQ

What is Cutting Speed from Tool Temperature?

The Cutting speed from tool temperature formula is defined as the speed employed for cutting a particular material using tool and is represented as V = ((θ*k^0.44*c^0.56)/(C₀*U_s*A^0.22))^(100/44) or Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44). Tool Temperature is the temperature reached during cutting for tool, Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, Tool Temperature Constant is a Constant for tool temperature determination, Specific cutting energy, often denoted as "specific cutting energy per unit cutting force"is a measure of the amount of energy required to remove a unit volume of material during a cutting process & Cutting Area is the area which is to be cut using cutting tool.

How to calculate Cutting Speed from Tool Temperature?

The Cutting speed from tool temperature formula is defined as the speed employed for cutting a particular material using tool is calculated using Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44). To calculate Cutting Speed from Tool Temperature, you need Tool Temperature (θ), Thermal Conductivity (k), Specific Heat Capacity (c), Tool Temperature Constant (C₀), Specific Cutting Energy (U_s) & Cutting Area (A). With our tool, you need to enter the respective value for Tool Temperature, Thermal Conductivity, Specific Heat Capacity, Tool Temperature Constant, Specific Cutting Energy & Cutting Area 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 Velocity?

In this formula, Cutting Velocity uses Tool Temperature, Thermal Conductivity, Specific Heat Capacity, Tool Temperature Constant, Specific Cutting Energy & Cutting Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cutting Velocity = pi*Workpiece Diameter*Spindle Speed

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