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

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

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

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

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

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Here is how the Density of Material using Average Temperature Rise of material under Primary Shear Zone equation looks like with Values.

Here is how the Density of Material using Average Temperature Rise of material under Primary Shear Zone equation looks like with Units.

Here is how the Density of Material using Average Temperature Rise of material under Primary Shear Zone equation looks like.

7200.0104 = \frac{(1 - 0.1) \cdot 1380}{274.9 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}

7200.0104kg/m³ = \frac{(1 - 0.1) \cdot 1380W}{274.9°C \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.25mm \cdot 2.5mm}

7200.0104 = \frac{(1 - 0.1) \cdot 1380}{274.9 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}

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

Follow our step by step solution on how to calculate Density of Material using Average Temperature Rise of material under Primary Shear Zone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ρ wp = \frac{(1 - 0.1) \cdot 1380W}{274.9K \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.0002m \cdot 0.0025m}

Next Step Prepare to Evaluate

∴

ρ wp = \frac{(1 - 0.1) \cdot 1380}{274.9 \cdot 502 \cdot 2 \cdot 0.0002 \cdot 0.0025}

Next Step Evaluate

∴

ρ wp = 7200.01043479773kg/m³

LAST Step Rounding Answer

∴

ρ wp = 7200.0104kg/m³

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

Variables

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

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

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

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

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

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 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 Specific Heat given Average Temperature Rise of Material under Primary Shear Zone

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

How to Evaluate Density of Material using Average Temperature Rise of material under Primary Shear Zone?

Density of Material using Average Temperature Rise of material under Primary Shear Zone evaluator uses Density of Work Piece = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut) to evaluate the Density of Work Piece, The Density of Material using Average Temperature rise of material under Primary Shear Zone is defined as the ratio of mass per unit volume of the workpiece. Density of Work Piece is denoted by ρ_wp symbol.

How to evaluate Density of Material using Average Temperature Rise of material under Primary Shear Zone using this online evaluator? To use this online evaluator for Density of Material using 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), Average Temperature Rise (θ_avg), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) and hit the calculate button.

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

What is the formula to find Density of Material using Average Temperature Rise of material under Primary Shear Zone?

The formula of Density of Material using Average Temperature Rise of material under Primary Shear Zone is expressed as Density of Work Piece = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut). Here is an example- 7200.01 = ((1-0.1)*1380)/(274.9*502*2*0.00025*0.0025).

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

Can the Density of Material using Average Temperature Rise of material under Primary Shear Zone be negative?

No, the Density of Material using Average Temperature Rise of material under Primary Shear Zone, measured in Density cannot be negative.

Which unit is used to measure Density of Material using Average Temperature Rise of material under Primary Shear Zone?

Density of Material using Average Temperature Rise of material under Primary Shear Zone is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Material using Average Temperature Rise of material under Primary Shear Zone can be measured.

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

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

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

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

Other formulas in Temperature Rise category

How to Evaluate Density of Material using Average Temperature Rise of material under Primary Shear Zone?

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

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