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Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Formula

GoProduction Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost Formula

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Production Cost of Each Component is the total amount that it takes to produce a single component from scratch. Check FAQs

C p = M \cdot (NPT + \frac{K}{V}) + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (M \cdot t c + C t) \cdot (V^{\frac{1 - n}{n}})

C_p - Production Cost of Each Component?M - Machining And Operating Rate?NPT - Non-Productive Time?K - Constant For Machining Condition?V - Cutting Velocity?L_ref - Reference Tool Life?V_ref - Reference Cutting Velocity?n - Taylors Tool Life Exponent?t_c - Time to Change One Tool?C_t - Cost of A Tool?

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Example

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Here is how the Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation equation looks like with Values.

Here is how the Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation equation looks like with Units.

Here is how the Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation equation looks like.

5.6553 = 0.0028 \cdot (20 + \frac{203.0681}{0.28}) + (\frac{203.0681}{2 \cdot {0.76}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 5 + 100) \cdot ({0.28}^{\frac{1 - 0.125}{0.125}})

5.6553 = 0.0028 \cdot (20min + \frac{203.0681m}{0.28m/s}) + (\frac{203.0681m}{2min \cdot {0.76m/s}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 5min + 100) \cdot ({0.28m/s}^{\frac{1 - 0.125}{0.125}})

5.6553 = 0.0028 \cdot (20 + \frac{203.0681}{0.28}) + (\frac{203.0681}{2 \cdot {0.76}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 5 + 100) \cdot ({0.28}^{\frac{1 - 0.125}{0.125}})

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Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Solution

Follow our step by step solution on how to calculate Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation?

FIRST Step Consider the formula

C p = M \cdot (NPT + \frac{K}{V}) + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (M \cdot t c + C t) \cdot (V^{\frac{1 - n}{n}})

Next Step Substitute values of Variables

∴

C p = 0.0028 \cdot (20min + \frac{203.0681m}{0.28m/s}) + (\frac{203.0681m}{2min \cdot {0.76m/s}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 5min + 100) \cdot ({0.28m/s}^{\frac{1 - 0.125}{0.125}})

Next Step Convert Units

∴

C p = 0.0028 \cdot (1200s + \frac{203.0681m}{0.28m/s}) + (\frac{203.0681m}{120s \cdot {0.76m/s}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 300s + 100) \cdot ({0.28m/s}^{\frac{1 - 0.125}{0.125}})

Next Step Prepare to Evaluate

∴

C p = 0.0028 \cdot (1200 + \frac{203.0681}{0.28}) + (\frac{203.0681}{120 \cdot {0.76}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 300 + 100) \cdot ({0.28}^{\frac{1 - 0.125}{0.125}})

Next Step Evaluate

∴

C p = 5.65532355031639

LAST Step Rounding Answer

∴

C p = 5.6553

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Formula Elements

Variables

Production Cost of Each Component

Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Production Cost of Each Component

Machining And Operating Rate

Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

Non-Productive Time

Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.

Symbol: NPT

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Non-Productive Time

Constant For Machining Condition

Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in Metre.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Constant For Machining Condition

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Reference Tool Life

Reference Tool Life is the tool life of the tool obtained in the reference machining condition.

Symbol: L_ref

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Reference Cutting Velocity

Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition.

Symbol: V_ref

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Taylors Tool Life Exponent

Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylors Tool Life Exponent

Time to Change One Tool

Time to Change One Tool is the measure of time it takes to change one tool during machining.

Symbol: t_c

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Cost of A Tool

The Cost of A Tool is simply the cost of one tool being used for machining.

Symbol: C_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of A Tool

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Formula and 400+ more formulas!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Formula and 400+ more formulas!

Other Formulas to find Production Cost of Each Component

Go Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost

C p = M \cdot (NPT + \frac{K}{V}) + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (C ct + C t) \cdot (V^{\frac{1 - n}{n}})

Other formulas in Production Cost per Component category

Go Nonproductive Time given Production Cost per Component

t s = \frac{C p - ((M \cdot \frac{K}{V}) + (K \cdot ({(\frac{V}{V ref})}^{\frac{1}{n}}) \cdot \frac{M \cdot t c + C t}{L ref \cdot V}))}{M}

Go Machining and Operating Rate given Production Cost per Component

M = \frac{C p - ((\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (C t) \cdot (V^{\frac{1 - n}{n}}))}{NPT + \frac{K}{V} + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot t c \cdot (V^{\frac{1 - n}{n}})}

How to Evaluate Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation?

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation evaluator uses Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)) to evaluate the Production Cost of Each Component, The Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation is defined as the total cost of producing a single component from scratch including all necessary operations and processes. Production Cost of Each Component is denoted by C_p symbol.

How to evaluate Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation using this online evaluator? To use this online evaluator for Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation, enter Machining And Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Cutting Velocity (V), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Taylors Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t) and hit the calculate button.

FAQs on Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation

What is the formula to find Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation?

The formula of Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation is expressed as Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)). Here is an example- 5.655324 = 0.00283*(1200+203.0681/0.28)+(203.0681/(120*0.76^(1/0.125)))*(0.00283*300+100)*(0.28^((1-0.125)/0.125)).

How to calculate Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation?

With Machining And Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Cutting Velocity (V), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Taylors Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t) we can find Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation using the formula - Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)).

What are the other ways to Calculate Production Cost of Each Component?

Here are the different ways to Calculate Production Cost of Each Component-

Production Cost of Each Component=Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Cost of Changing Each Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))

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Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Formula

​GoProduction Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost Formula

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Example

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Solution

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation Formula Elements

Credits

Other Formulas to find Production Cost of Each Component

Other formulas in Production Cost per Component category

How to Evaluate Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation?

FAQs on Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation

Variable Name

GoProduction Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost Formula