Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Calculator

✖Tool Temperature is the temperature reached during cutting for tool.ⓘ Tool Temperature [θ]			+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%
✖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%
✖Tool Temperature Constant is a Constant for tool temperature determination.ⓘ Tool Temperature Constant [C₀]			+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%
✖Cutting Area is the area which is to be cut using cutting tool.ⓘ Cutting Area [A]			+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 Per Unit Cutting Force from Tool Temperature [U_s]

⎘ Copy

👎

Formula

✖

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature

Formula

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

Example

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

Calculator

LaTeX

Reset

👍

Download Mechanics of Orthogonal Cutting Formulas PDF

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)
U_s = (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) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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)
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 Minute --> 2 Meter per Second (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

U_s = (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*2^0.44*26.4493^0.22)

Evaluating ... ...

U_s = 199999.993996373

STEP 3: Convert Result to Output's Unit

199999.993996373 Joule per Kilogram -->199.999993996373 Kilojoule per Kilogram (Check conversion here)

FINAL ANSWER

199.999993996373 ≈ 200 Kilojoule per Kilogram <-- Specific Cutting Energy

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Cutting » Mechanics of Orthogonal Cutting » Specific Cutting Energy Per Unit Cutting Force from 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+ 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

Specific Cutting Energy Per Unit Cutting Force 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 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 U_s 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 -> 0.177932 = (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 U_s = (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, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Cutting Area is the area which is to be cut using cutting tool.

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.

Home

FREE PDFs

🔍 Search