Specific Heat of Work from Tool Temperature Calculator

✖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 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 Velocity [V]			+10% -10%
✖Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.ⓘ Cutting Area [A]			+10% -10%
✖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 of Work from Tool Temperature [c]

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Formula

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Specific Heat of Work from Tool Temperature

Formula

`"c" = (("C"_{"0"}*"U"_{"s"}*"V"^0.44*"A"^0.22)/("θ"*"k"^0.44))^(100/56)`

Example

`"104.4024kJ/kg*K"=(("0.29"*"200kJ/kg"*("120m/s")^0.44*("26.4493m²")^0.22)/("273°C"*("10.18W/(m*K)")^0.44))^(100/56)`

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Specific Heat of Work from Tool Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
c = ((C₀*U_s*V^0.44*A^0.22)/(θ*k^0.44))^(100/56)
This formula uses 7 Variables

Variables Used

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) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

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 Second --> 120 Meter per Second No Conversion Required
Cutting Area: 26.4493 Square Meter --> 26.4493 Square Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = ((C₀*U_s*V^0.44*A^0.22)/(θ*k^0.44))^(100/56) --> ((0.29*200000*120^0.44*26.4493^0.22)/(546.15*10.18^0.44))^(100/56)

Evaluating ... ...

c = 104402.413556745

STEP 3: Convert Result to Output's Unit

104402.413556745 Joule per Kilogram per K -->104.402413556745 Kilojoule per Kilogram per K (Check conversion here)

FINAL ANSWER

104.402413556745 ≈ 104.4024 Kilojoule per Kilogram per K <-- Specific Heat Capacity

(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/Feed Constraint

Surface Finish Constraint

Go Feed Constraint = 0.0321/Nose Radius

Specific Heat of Work 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 Heat of Work from Tool Temperature?

Specific Heat of Work from Tool Temperature calculator uses 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) to calculate the Specific Heat Capacity, The Specific heat of work from tool temperature formula is defined as the heat required to raise the temperature of unit mass of the work material by a unit. Specific Heat Capacity is denoted by c symbol.

How to calculate Specific Heat of Work from Tool Temperature using this online calculator? To use this online calculator for Specific Heat of Work from Tool Temperature, enter Tool Temperature Constant (C₀), Specific Cutting Energy (U_s), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Thermal Conductivity (k) and hit the calculate button. Here is how the Specific Heat of Work from Tool Temperature calculation can be explained with given input values -> 0.004184 = ((0.29*200000*2^0.44*26.4493^0.22)/(546.15*10.18^0.44))^(100/56).

FAQ

What is Specific Heat of Work from Tool Temperature?

The Specific heat of work from tool temperature formula is defined as the heat required to raise the temperature of unit mass of the work material by a unit and is represented as c = ((C₀*U_s*V^0.44*A^0.22)/(θ*k^0.44))^(100/56) or 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). 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 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, 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.

How to calculate Specific Heat of Work from Tool Temperature?

The Specific heat of work from tool temperature formula is defined as the heat required to raise the temperature of unit mass of the work material by a unit is calculated using 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). To calculate Specific Heat of Work from Tool Temperature, you need Tool Temperature Constant (C₀), Specific Cutting Energy (U_s), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Thermal Conductivity (k). With our tool, you need to enter the respective value for Tool Temperature Constant, Specific Cutting Energy, Cutting Velocity, Cutting Area, Tool Temperature & Thermal Conductivity 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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