Area of Cut from Tool Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
A = ((θ*k^0.44*c^0.56)/(C0*Us*V^0.44))^(100/22)
This formula uses 7 Variables
Variables Used
Cutting Area - (Measured in Square Meter) - Cutting Area is the area which is to be cut using cutting tool.
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 Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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 Velocity: 120 Meter per Minute --> 2 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((θ*k^0.44*c^0.56)/(C0*Us*V^0.44))^(100/22) --> ((546.15*10.18^0.44*4184^0.56)/(0.29*200000*2^0.44))^(100/22)
Evaluating ... ...
A = 26.4492963910974
STEP 3: Convert Result to Output's Unit
26.4492963910974 Square Meter --> No Conversion Required
FINAL ANSWER
26.4492963910974 26.4493 Square Meter <-- Cutting Area
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
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+ 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

Area of Cut from Tool Temperature Formula

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)
A = ((θ*k^0.44*c^0.56)/(C0*Us*V^0.44))^(100/22)

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 Area of Cut from Tool Temperature?

Area of Cut from Tool Temperature calculator uses 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) to calculate the Cutting Area, The Area of cut from tool temperature formula is defined as the area from where metal is to be removed using cutting tool. Cutting Area is denoted by A symbol.

How to calculate Area of Cut from Tool Temperature using this online calculator? To use this online calculator for Area of Cut from Tool Temperature, enter Tool Temperature (θ), Thermal Conductivity (k), Specific Heat Capacity (c), Tool Temperature Constant (C0), Specific Cutting Energy (Us) & Cutting Velocity (V) and hit the calculate button. Here is how the Area of Cut from Tool Temperature calculation can be explained with given input values -> 26.4493 = ((546.15*10.18^0.44*4184^0.56)/(0.29*200000*2^0.44))^(100/22).

FAQ

What is Area of Cut from Tool Temperature?
The Area of cut from tool temperature formula is defined as the area from where metal is to be removed using cutting tool and is represented as A = ((θ*k^0.44*c^0.56)/(C0*Us*V^0.44))^(100/22) or 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). 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 & The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
How to calculate Area of Cut from Tool Temperature?
The Area of cut from tool temperature formula is defined as the area from where metal is to be removed using cutting tool is calculated using 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). To calculate Area of Cut from Tool Temperature, you need Tool Temperature (θ), Thermal Conductivity (k), Specific Heat Capacity (c), Tool Temperature Constant (C0), Specific Cutting Energy (Us) & Cutting Velocity (V). 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 Velocity 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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