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Area of Cut from Tool Temperature Formula

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Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining. Check FAQs

A = {(\frac{θ \cdot k^{0.44} \cdot c^{0.56}}{C 0 \cdot U s \cdot V^{0.44}})}^{\frac{100}{22}}

A - Cutting Area?θ - Tool Temperature?k - Thermal Conductivity?c - Specific Heat Capacity?C₀ - Tool Temperature Constant?U_s - Specific Cutting Energy?V - Cutting Velocity?

Area of Cut from Tool Temperature Example

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Here is how the Area of Cut from Tool Temperature equation looks like with Values.

Here is how the Area of Cut from Tool Temperature equation looks like with Units.

Here is how the Area of Cut from Tool Temperature equation looks like.

0.0073 = {(\frac{273 \cdot {10.18}^{0.44} \cdot {4.184}^{0.56}}{0.29 \cdot 200 \cdot 120^{0.44}})}^{\frac{100}{22}}

0.0073m² = {(\frac{273°C \cdot {10.18W/(m*K)}^{0.44} \cdot {4.184kJ/kg*K}^{0.56}}{0.29 \cdot 200kJ/kg \cdot {120m/s}^{0.44}})}^{\frac{100}{22}}

0.0073 = {(\frac{273 \cdot {10.18}^{0.44} \cdot {4.184}^{0.56}}{0.29 \cdot 200 \cdot 120^{0.44}})}^{\frac{100}{22}}

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Area of Cut from Tool Temperature Solution

Follow our step by step solution on how to calculate Area of Cut from Tool Temperature?

FIRST Step Consider the formula

A = {(\frac{θ \cdot k^{0.44} \cdot c^{0.56}}{C 0 \cdot U s \cdot V^{0.44}})}^{\frac{100}{22}}

Next Step Substitute values of Variables

∴

A = {(\frac{273°C \cdot {10.18W/(m*K)}^{0.44} \cdot {4.184kJ/kg*K}^{0.56}}{0.29 \cdot 200kJ/kg \cdot {120m/s}^{0.44}})}^{\frac{100}{22}}

Next Step Convert Units

∴

A = {(\frac{546.15K \cdot {10.18W/(m*K)}^{0.44} \cdot {4184J/(kg*K)}^{0.56}}{0.29 \cdot 200000J/kg \cdot {120m/s}^{0.44}})}^{\frac{100}{22}}

Next Step Prepare to Evaluate

∴

A = {(\frac{546.15 \cdot {10.18}^{0.44} \cdot 4184^{0.56}}{0.29 \cdot 200000 \cdot 120^{0.44}})}^{\frac{100}{22}}

Next Step Evaluate

∴

A = 0.00734702677530484m²

LAST Step Rounding Answer

∴

A = 0.0073m²

Area of Cut from Tool Temperature Formula Elements

Variables

Cutting Area

Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cutting Area

Tool Temperature

Tool Temperature is the temperature reached during cutting for tool.

Symbol: θ

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Tool Temperature

Thermal Conductivity

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.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Tool Temperature Constant

Tool Temperature Constant is a Constant for tool temperature determination.

Symbol: C₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tool Temperature Constant

Specific Cutting Energy

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.

Symbol: U_s

Measurement: Specific EnergyUnit: kJ/kg

Note: Value should be greater than 0.

Formulas to find Specific Cutting Energy

Cutting Velocity

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.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Other formulas in Mechanics of Orthogonal Cutting category

Go Cutting Speed given Spindle Speed

V = π \cdot D \cdot N

Go Machining Time given Spindle Speed

t = \frac{L}{f \cdot N}

How to Evaluate Area of Cut from Tool Temperature?

Area of Cut from Tool Temperature evaluator 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 evaluate 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 evaluate Area of Cut from Tool Temperature using this online evaluator? To use this online evaluator 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 (U_s) & Cutting Velocity (V) and hit the calculate button.

FAQs on Area of Cut from Tool Temperature

What is the formula to find Area of Cut from Tool Temperature?

The formula of Area of Cut from Tool Temperature is expressed as 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). Here is an example- 26.4493 = ((546.15*10.18^0.44*4184^0.56)/(0.29*200000*2^0.44))^(100/22).

How to calculate Area of Cut from Tool Temperature?

With Tool Temperature (θ), Thermal Conductivity (k), Specific Heat Capacity (c), Tool Temperature Constant (C₀), Specific Cutting Energy (U_s) & Cutting Velocity (V) we can find Area of Cut from Tool Temperature using the 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).

Can the Area of Cut from Tool Temperature be negative?

No, the Area of Cut from Tool Temperature, measured in Area cannot be negative.

Which unit is used to measure Area of Cut from Tool Temperature?

Area of Cut from Tool Temperature is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cut from Tool Temperature can be measured.

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Area of Cut from Tool Temperature Formula

Area of Cut from Tool Temperature Example

Area of Cut from Tool Temperature Solution

Area of Cut from Tool Temperature Formula Elements

Other formulas in Mechanics of Orthogonal Cutting category

How to Evaluate Area of Cut from Tool Temperature?

FAQs on Area of Cut from Tool Temperature

Variable Name