✖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 "Meter".ⓘ Constant For Machining Condition [K]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.ⓘ Reference Tool Life [L]			+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%
✖Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.ⓘ Production Cost of Each Component [C_p]			+10% -10%
✖Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate [R]			+10% -10%
✖Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.ⓘ Setup Time [t_s]			+10% -10%

✖Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.ⓘ Reference Cutting Velocity given Minimum Production Cost [V]

⎘ Copy

👎

Formula

✖

Reference Cutting Velocity given Minimum Production Cost

Formula

`"V" = "K"*(("T"/"L")^"n")/((1-"n")*("C"_{"p"}/"R"-"t"_{"s"}))`

Example

`"0.76m/s"="168.946948749017m"*(("3000s"/"60s")^"0.125")/((1-"0.125")*("5000"/"7"-"300s"))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Reference Cutting Velocity given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time))
V = K*((T/L)^n)/((1-n)*(C_p/R-t_s))
This formula uses 8 Variables

Variables Used

Reference Cutting Velocity - (Measured in Meter per Second) - Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining 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 "Meter".
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Reference Tool Life - (Measured in Second) - Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Production Cost of Each Component - Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.

STEP 1: Convert Input(s) to Base Unit

Constant For Machining Condition: 168.946948749017 Meter --> 168.946948749017 Meter No Conversion Required
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Production Cost of Each Component: 5000 --> No Conversion Required
Machining and Operating Rate: 7 --> No Conversion Required
Setup Time: 300 Second --> 300 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = K*((T/L)^n)/((1-n)*(C_p/R-t_s)) --> 168.946948749017*((3000/60)^0.125)/((1-0.125)*(5000/7-300))

Evaluating ... ...

V = 0.759999999999999

STEP 3: Convert Result to Output's Unit

0.759999999999999 Meter per Second --> No Conversion Required

FINAL ANSWER

0.759999999999999 ≈ 0.76 Meter per Second <-- Reference Cutting Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Minimum Machining Cost » Reference Cutting Velocity given Minimum Production Cost

Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Minimum Machining Cost Calculators

Taylor's Exponent for Minimum Machining Cost given Tool Life

Go Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion))

Tool Life for minimum cost given Minimum Production Cost

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

Machining and Operating Rate given Minimum Production Cost

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

Reference Tool Life given Minimum Production Cost

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

Minimum Production Cost per Component

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

Non-Productive Time per component given Minimum Production Cost

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

Reference Cutting Velocity given Minimum Production Cost

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

Constant for Machining Operation given Minimum Production Cost

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

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Go Tool Life = Time Proportion*(Cost of Changing Each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)

Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost

Go Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

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

Tool Life of One Tool for Minimum Machining Cost

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

Taylor's Exponent for Minimum Machining Cost per component

Go Taylor's Tool Life Exponent = 1-(Machining Time for Minimum Cost*Machining and Operating Rate/Machining and Operating Cost of Each Product)

Machining Time per component for Minimum Machining Cost

Go Machining Time for Minimum Cost = Machining and Operating Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining and Operating Rate

Reference Cutting Velocity given Minimum Production Cost Formula

What is Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate Reference Cutting Velocity given Minimum Production Cost?

Reference Cutting Velocity given Minimum Production Cost calculator uses Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time)) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity given Minimum Production Cost is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Cost is minimum. Reference Cutting Velocity is denoted by V symbol.

How to calculate Reference Cutting Velocity given Minimum Production Cost using this online calculator? To use this online calculator for Reference Cutting Velocity given Minimum Production Cost, enter Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n), Production Cost of Each Component (C_p), Machining and Operating Rate (R) & Setup Time (t_s) and hit the calculate button. Here is how the Reference Cutting Velocity given Minimum Production Cost calculation can be explained with given input values -> 0.76 = 168.946948749017*((3000/60)^0.125)/((1-0.125)*(5000/7-300)).

FAQ

What is Reference Cutting Velocity given Minimum Production Cost?

The Reference Cutting Velocity given Minimum Production Cost is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Cost is minimum and is represented as V = K*((T/L)^n)/((1-n)*(C_p/R-t_s)) or Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time)). 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 "Meter", Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads & Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.

How to calculate Reference Cutting Velocity given Minimum Production Cost?

The Reference Cutting Velocity given Minimum Production Cost is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Cost is minimum is calculated using Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time)). To calculate Reference Cutting Velocity given Minimum Production Cost, you need Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n), Production Cost of Each Component (C_p), Machining and Operating Rate (R) & Setup Time (t_s). With our tool, you need to enter the respective value for Constant For Machining Condition, Tool Life, Reference Tool Life, Taylor's Tool Life Exponent, Production Cost of Each Component, Machining and Operating Rate & Setup Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search