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

✖Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate [M]			+10% -10%
✖Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.ⓘ Non-Productive Time [NPT]			+10% -10%
✖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".ⓘ Constant For Machining Condition [K]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_ref]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.ⓘ Cost of changing each Tool [C_CT]			+10% -10%
✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of a Tool [C_t]			+10% -10%

✖Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.ⓘ Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost [C_pr]

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

Formula

`"C"_{"pr"} = "M"*("NPT"+("K"/"V"))+("K"/("T"_{"ref"}*"V"_{"ref"}^(1/"n")))*("C"_{"CT"}+"C"_{"t"})*("V"^((1-"n")/"n"))`

Example

`"5.746099"="0.00283"*("20min"+("186.0331m"/"0.28m/s"))+("186.0331m"/("60s"*("0.76m/s")^(1/"0.125")))*("25"+"100")*(("0.28m/s")^((1-"0.125")/"0.125"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))
C_pr = M*(NPT+(K/V))+(K/(T_ref*V_ref^(1/n)))*(C_CT+C_t)*(V^((1-n)/n))
This formula uses 10 Variables

Variables Used

Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Non-Productive Time - (Measured in Second) - Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.
Constant For Machining Condition - (Measured in Meter) - 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".
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Cost of changing each Tool - The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.

STEP 1: Convert Input(s) to Base Unit

Machining and Operating Rate: 0.00283 --> No Conversion Required
Non-Productive Time: 20 Minute --> 1200 Second (Check conversion here)
Constant For Machining Condition: 186.0331 Meter --> 186.0331 Meter No Conversion Required
Cutting Velocity: 0.28 Meter per Second --> 0.28 Meter per Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Cost of changing each Tool: 25 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_pr = M*(NPT+(K/V))+(K/(T_ref*V_ref^(1/n)))*(C_CT+C_t)*(V^((1-n)/n)) --> 0.00283*(1200+(186.0331/0.28))+(186.0331/(60*0.76^(1/0.125)))*(25+100)*(0.28^((1-0.125)/0.125))

Evaluating ... ...

C_pr = 5.74609930871147

STEP 3: Convert Result to Output's Unit

5.74609930871147 --> No Conversion Required

FINAL ANSWER

5.74609930871147 ≈ 5.746099 <-- Production Cost of Each Component

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

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National Institute of Technology (NIT), Srinagar

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< 10+ Production Cost per Component Calculators

Machining and Operating Rate given Production Cost per Component

Go Machining and Operating Rate = (Production Cost of Each Component-((Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))/(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*Time to Change One Tool*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))

Tool Changing Time for each Tool given Production Cost per Component

Go Time to Change One Tool = (((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/Taylor's Tool Life Exponent)))*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))-Cost of a Tool)/Machining and Operating Rate

Cost of each Tool given Production Cost per Component

Go Cost of a Tool = ((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/Taylor's Tool Life Exponent)))*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))-(Time to Change One Tool*Machining and Operating Rate)

Reference Tool Life given Production Cost per Component

Go Reference Tool Life = ((Constant For Machining Condition/(Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)))

Constant for Machining Operation given Production Cost per Component

Go Constant For Machining Condition = (Production Cost of Each Component-Machining and Operating Rate*Non-Productive Time)/(Machining and Operating Rate*(1/Cutting Velocity)+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))

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

Go 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/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))

Reference Cutting Speed given Production Cost per Component

Go Reference Cutting Velocity = (((Constant For Machining Condition/Reference Tool Life)*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity))))^Taylor's Tool Life Exponent

Taylor's Tool Life Constant given Production Cost per Component

Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life*Cutting Velocity*(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)))/(Constant For Machining Condition*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)))

Nonproductive Time given Production Cost per Component

Go Setup Time = (Production Cost of Each Component-((Machining and Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/(Reference Tool Life*Cutting Velocity))))/Machining and Operating Rate

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

Go 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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))

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

Average Production Cost of each component

The average Production Cost of each component is usually determined by taking an average over a defined batch of products. The reason for this is the extended costs such as the cost of tools and operating costs etc. This makes the Average Production Cost becomes quite higher for a single product than when measured over batch size.

How to Calculate Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost?

Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost calculator 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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)) to calculate the Production Cost of Each Component, The Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost is defined as the total cost of producing a single component from scratch including all necessary operations and processes when Tool Changing cost is known. Production Cost of Each Component is denoted by C_pr symbol.

How to calculate Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost using this online calculator? To use this online calculator for Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost, enter Machining and Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Cutting Velocity (V), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n), Cost of changing each Tool (C_CT) & Cost of a Tool (C_t) and hit the calculate button. Here is how the Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost calculation can be explained with given input values -> 5.746099 = 0.00283*(1200+(186.0331/0.28))+(186.0331/(60*0.76^(1/0.125)))*(25+100)*(0.28^((1-0.125)/0.125)).

FAQ

What is Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost?

The Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost is defined as the total cost of producing a single component from scratch including all necessary operations and processes when Tool Changing cost is known and is represented as C_pr = M*(NPT+(K/V))+(K/(T_ref*V_ref^(1/n)))*(C_CT+C_t)*(V^((1-n)/n)) or 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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)). Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process, 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", The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour & The Cost of a Tool is simply the cost of one tool being used for machining.

How to calculate Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost?

The Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost is defined as the total cost of producing a single component from scratch including all necessary operations and processes when Tool Changing cost is known is calculated using 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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)). To calculate Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost, you need Machining and Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Cutting Velocity (V), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n), Cost of changing each Tool (C_CT) & Cost of a Tool (C_t). With our tool, you need to enter the respective value for Machining and Operating Rate, Non-Productive Time, Constant For Machining Condition, Cutting Velocity, Reference Tool Life, Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of changing each Tool & Cost of a Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Production Cost of Each Component?

In this formula, Production Cost of Each Component uses Machining and Operating Rate, Non-Productive Time, Constant For Machining Condition, Cutting Velocity, Reference Tool Life, Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of changing each Tool & Cost of a Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -

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/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))

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