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Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Formula

GoCutting Speed using Average Temperature Rise of Chip from Secondary Deformation Formula

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Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Check FAQs

V cut = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot θ avg \cdot a c \cdot d cut}

V_cut - Cutting Speed?Γ - Fraction of Heat Conducted into The Workpiece?P_s - Rate of Heat Generation in Primary Shear Zone?ρ_wp - Density of Work Piece?C - Specific Heat Capacity of Workpiece?θ_avg - Average Temperature Rise?a_c - Undeformed Chip Thickness?d_cut - Depth of Cut?

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Example

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Here is how the Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone equation looks like with Values.

Here is how the Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone equation looks like with Units.

Here is how the Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone equation looks like.

2 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 274.9 \cdot 0.25 \cdot 2.5}

2m/s = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 274.9°C \cdot 0.25mm \cdot 2.5mm}

2 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 274.9 \cdot 0.25 \cdot 2.5}

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Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Solution

Follow our step by step solution on how to calculate Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

FIRST Step Consider the formula

V cut = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot θ avg \cdot a c \cdot d cut}

Next Step Substitute values of Variables

∴

V cut = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 274.9°C \cdot 0.25mm \cdot 2.5mm}

Next Step Convert Units

∴

V cut = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 274.9K \cdot 0.0002m \cdot 0.0025m}

Next Step Prepare to Evaluate

∴

V cut = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 274.9 \cdot 0.0002 \cdot 0.0025}

Next Step Evaluate

∴

V cut = 2.00000289855493m/s

LAST Step Rounding Answer

∴

V cut = 2m/s

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Formula Elements

Variables

Cutting Speed

Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).

Symbol: V_cut

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Speed

Fraction of Heat Conducted into The Workpiece

Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.

Symbol: Γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction of Heat Conducted into The Workpiece

Rate of Heat Generation in Primary Shear Zone

The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.

Symbol: P_s

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Rate of Heat Generation in Primary Shear Zone

Density of Work Piece

Density of Work Piece is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ_wp

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Work Piece

Specific Heat Capacity of Workpiece

The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: C

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity of Workpiece

Average Temperature Rise

Average Temperature Rise is defined as the actual amount of increase in the temperature.

Symbol: θ_avg

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Average Temperature Rise

Undeformed Chip Thickness

Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.

Symbol: a_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Undeformed Chip Thickness

Depth of Cut

Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

Symbol: d_cut

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut

Other Formulas to find Cutting Speed

Go Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation

V cut = \frac{P f}{C \cdot ρ wp \cdot θ f \cdot a c \cdot d cut}

Other formulas in Temperature Rise category

Go Average Temperature Rise of Material under Primary Deformation Zone

θ avg = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot a c \cdot d cut}

Go Density of Material using Average Temperature Rise of material under Primary Shear Zone

ρ wp = \frac{(1 - Γ) \cdot P s}{θ avg \cdot C \cdot V cut \cdot a c \cdot d cut}

How to Evaluate Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone evaluator uses Cutting Speed = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of Work Piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut) to evaluate the Cutting Speed, The Cutting speed given Average Temperature rise of material under Primary Shear Zone is defined as the speed (usually in feet per minute) of a tool when it is cutting the work. Cutting Speed is denoted by V_cut symbol.

How to evaluate Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone using this online evaluator? To use this online evaluator for Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Average Temperature Rise (θ_avg), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) and hit the calculate button.

FAQs on Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone

What is the formula to find Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

The formula of Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone is expressed as Cutting Speed = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of Work Piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut). Here is an example- 1.999218 = ((1-0.1)*1380)/(7200*502*274.9*0.00025*0.0025).

How to calculate Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

With Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Average Temperature Rise (θ_avg), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) we can find Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone using the formula - Cutting Speed = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of Work Piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut).

What are the other ways to Calculate Cutting Speed?

Here are the different ways to Calculate Cutting Speed-

Cutting Speed=Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Average Temp Rise of Chip in Secondary Shear Zone*Undeformed Chip Thickness*Depth of Cut)

Can the Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone be negative?

No, the Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone, measured in Speed cannot be negative.

Which unit is used to measure Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone can be measured.

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Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Formula

​GoCutting Speed using Average Temperature Rise of Chip from Secondary Deformation Formula

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Example

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Solution

Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone Formula Elements

Other Formulas to find Cutting Speed

Other formulas in Temperature Rise category

How to Evaluate Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone?

FAQs on Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone

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GoCutting Speed using Average Temperature Rise of Chip from Secondary Deformation Formula