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Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Formula

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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. Check FAQs

U s = \frac{θ \cdot c^{0.56} \cdot k^{0.44}}{C 0 \cdot V^{0.44} \cdot A^{0.22}}

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

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Example

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Here is how the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature equation looks like with Values.

Here is how the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature equation looks like with Units.

Here is how the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature equation looks like.

33.0098 = \frac{273 \cdot {4.184}^{0.56} \cdot {10.18}^{0.44}}{0.29 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}

33.0098kJ/kg = \frac{273°C \cdot {4.184kJ/kg*K}^{0.56} \cdot {10.18W/(m*K)}^{0.44}}{0.29 \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}

33.0098 = \frac{273 \cdot {4.184}^{0.56} \cdot {10.18}^{0.44}}{0.29 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}

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Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Solution

Follow our step by step solution on how to calculate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

FIRST Step Consider the formula

U s = \frac{θ \cdot c^{0.56} \cdot k^{0.44}}{C 0 \cdot V^{0.44} \cdot A^{0.22}}

Next Step Substitute values of Variables

∴

U s = \frac{273°C \cdot {4.184kJ/kg*K}^{0.56} \cdot {10.18W/(m*K)}^{0.44}}{0.29 \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}

Next Step Convert Units

∴

U s = \frac{546.15K \cdot {4184J/(kg*K)}^{0.56} \cdot {10.18W/(m*K)}^{0.44}}{0.29 \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}

Next Step Prepare to Evaluate

∴

U s = \frac{546.15 \cdot 4184^{0.56} \cdot {10.18}^{0.44}}{0.29 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}

Next Step Evaluate

∴

U s = 33009.8410006893J/kg

Next Step Convert to Output's Unit

∴

U s = 33.0098410006893kJ/kg

LAST Step Rounding Answer

∴

U s = 33.0098kJ/kg

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Formula Elements

Variables

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

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

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

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

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

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

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

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 Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature evaluator 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 evaluate 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 evaluate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature using this online evaluator? To use this online evaluator 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.

FAQs on Specific Cutting Energy Per Unit Cutting Force from Tool Temperature

What is the formula to find Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

The formula of Specific Cutting Energy Per Unit Cutting Force from Tool Temperature is expressed as 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). Here is an example- 0.2 = (546.15*4184^0.56*10.18^0.44)/(0.29*2^0.44*26.4493^0.22).

How to calculate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

With Tool Temperature (θ), Specific Heat Capacity (c), Thermal Conductivity (k), Tool Temperature Constant (C₀), Cutting Velocity (V) & Cutting Area (A) we can find Specific Cutting Energy Per Unit Cutting Force from Tool Temperature using the formula - 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).

Can the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature be negative?

No, the Specific Cutting Energy Per Unit Cutting Force from Tool Temperature, measured in Specific Energy cannot be negative.

Which unit is used to measure Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature is usually measured using the Kilojoule per Kilogram[kJ/kg] for Specific Energy. Joule per Kilogram[kJ/kg], Joule per Gram[kJ/kg], Joule per Centigram[kJ/kg] are the few other units in which Specific Cutting Energy Per Unit Cutting Force from Tool Temperature can be measured.

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Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Formula

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Example

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Solution

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature Formula Elements

Other formulas in Mechanics of Orthogonal Cutting category

How to Evaluate Specific Cutting Energy Per Unit Cutting Force from Tool Temperature?

FAQs on Specific Cutting Energy Per Unit Cutting Force from Tool Temperature

Variable Name