Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Us = (θ*c^0.56*k^0.44)/(C0*V^0.44*A^0.22)
This formula uses 7 Variables
Variables Used
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.
Tool Temperature - (Measured in Kelvin) - Tool Temperature is the temperature reached during cutting for tool.
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.
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.
Tool Temperature Constant - Tool Temperature Constant is a Constant for tool temperature determination.
Cutting Velocity - (Measured in Meter per Second) - Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process.
Cutting Area - (Measured in Square Meter) - Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.
STEP 1: Convert Input(s) to Base Unit
Tool Temperature: 273 Celsius --> 546.15 Kelvin (Check conversion ​here)
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion ​here)
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Tool Temperature Constant: 0.29 --> No Conversion Required
Cutting Velocity: 120 Meter per Second --> 120 Meter per Second No Conversion Required
Cutting Area: 26.4493 Square Meter --> 26.4493 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Us = (θ*c^0.56*k^0.44)/(C0*V^0.44*A^0.22) --> (546.15*4184^0.56*10.18^0.44)/(0.29*120^0.44*26.4493^0.22)
Evaluating ... ...
Us = 33009.8410006893
STEP 3: Convert Result to Output's Unit
33009.8410006893 Joule per Kilogram -->33.0098410006893 Kilojoule per Kilogram (Check conversion ​here)
FINAL ANSWER
33.0098410006893 33.00984 Kilojoule per Kilogram <-- Specific Cutting Energy
(Calculation completed in 00.020 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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Mechanics of Orthogonal Cutting Calculators

Machining Time given Cutting Speed
​ LaTeX ​ Go Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)
Machining Time given Spindle Speed
​ LaTeX ​ Go Machining Time = Length of Bar/(Feed Rate*Spindle Speed)
Cutting Speed given Spindle Speed
​ LaTeX ​ Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
Surface Finish Constraint
​ LaTeX ​ Go Feed Constraint = 0.0321/Nose Radius

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Formula

​LaTeX ​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)
Us = (θ*c^0.56*k^0.44)/(C0*V^0.44*A^0.22)

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 Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature calculator uses 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) to calculate the Specific Cutting Energy, The specific cutting energy per unit cutting force from tool temperature formula is defined as the specific cutting energy per unit cutting force required to perform the cutting operation under given conditions. Specific Cutting Energy is denoted by Us symbol.

How to calculate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature using this online calculator? To use this online calculator for Specific Cutting Energy Per Unit Cutting Force from Tool Temperature, enter Tool Temperature (θ), Specific Heat Capacity (c), Thermal Conductivity (k), Tool Temperature Constant (C0), Cutting Velocity (V) & Cutting Area (A) and hit the calculate button. Here is how the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature calculation can be explained with given input values -> 0.2 = (546.15*4184^0.56*10.18^0.44)/(0.29*2^0.44*26.4493^0.22).

FAQ

What is Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?
The specific cutting energy per unit cutting force from tool temperature formula is defined as the specific cutting energy per unit cutting force required to perform the cutting operation under given conditions and is represented as Us = (θ*c^0.56*k^0.44)/(C0*V^0.44*A^0.22) or 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). Tool Temperature is the temperature reached during cutting for tool, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, 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, Tool Temperature Constant is a Constant for tool temperature determination, Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process & Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.
How to calculate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?
The specific cutting energy per unit cutting force from tool temperature formula is defined as the specific cutting energy per unit cutting force required to perform the cutting operation under given conditions is calculated using 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). To calculate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature, you need Tool Temperature (θ), Specific Heat Capacity (c), Thermal Conductivity (k), Tool Temperature Constant (C0), Cutting Velocity (V) & Cutting Area (A). With our tool, you need to enter the respective value for Tool Temperature, Specific Heat Capacity, Thermal Conductivity, Tool Temperature Constant, Cutting Velocity & Cutting Area 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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