Taylor's Tool Life Constant given Production Cost per Component Calculator

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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%
✖Reference Tool Life is the tool life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.ⓘ 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 [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%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+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%

✖Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor's Tool Life Constant given Production Cost per Component [n]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Metal Machining Formula PDF PDF Image

Taylor's Tool Life Constant given Production Cost per Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylors 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)))
n = ln(V/V_ref)/ln(L_ref*V*(C_p-M*(NPT+K/V))/(K*(M*t_c+C_t)))
This formula uses 1 Functions, 10 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Taylors Tool Life Exponent - Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
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 Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the tool life of the tool obtained in the reference machining condition.
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.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
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

Cutting Velocity: 0.28 Meter per Second --> 0.28 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
Reference Tool Life: 2 Minute --> 120 Second (Check conversion here)
Production Cost of Each Component: 5.655323 --> No Conversion Required
Machining And Operating Rate: 0.00283 --> No Conversion Required
Non-Productive Time: 20 Minute --> 1200 Second (Check conversion here)
Constant For Machining Condition: 203.0681 Meter --> 203.0681 Meter No Conversion Required
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
Cost of A Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = ln(V/V_ref)/ln(L_ref*V*(C_p-M*(NPT+K/V))/(K*(M*t_c+C_t))) --> ln(0.28/0.76)/ln(120*0.28*(5.655323-0.00283*(1200+203.0681/0.28))/(203.0681*(0.00283*300+100)))

Evaluating ... ...

n = 0.1249999583761

STEP 3: Convert Result to Output's Unit

0.1249999583761 --> No Conversion Required

FINAL ANSWER

0.1249999583761 ≈ 0.125 <-- Taylors Tool Life Exponent

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Economics » Production Cost » Production Cost per Component » Taylor's Tool Life Constant given Production Cost per Component

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!

< Production Cost per Component Calculators

Machining and Operating Rate given Production Cost per Component

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

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

LaTeX 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/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))

Nonproductive Time given Production Cost per Component

LaTeX 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/Taylors 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

LaTeX 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/Taylors Tool Life Exponent)))*(Cost of Changing Each Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))

Taylor's Tool Life Constant given Production Cost per Component Formula

LaTeX Go

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Taylor's Tool Life Constant given Production Cost per Component?

Taylor's Tool Life Constant given Production Cost per Component calculator uses Taylors 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))) to calculate the Taylors Tool Life Exponent, The Taylor's Tool Life Constant given Production Cost per Component is a method to determine the experimental exponent of Tool Life for the Machining Tool when it is used under a Constant Surface Speed Condition. Taylors Tool Life Exponent is denoted by n symbol.

How to calculate Taylor's Tool Life Constant given Production Cost per Component using this online calculator? To use this online calculator for Taylor's Tool Life Constant given Production Cost per Component, enter Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (L_ref), Production Cost of Each Component (C_p), Machining And Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Time to Change One Tool (t_c) & Cost of A Tool (C_t) and hit the calculate button. Here is how the Taylor's Tool Life Constant given Production Cost per Component calculation can be explained with given input values -> 0.125 = ln(0.28/0.76)/ln(120*0.28*(5.655323-0.00283*(1200+203.0681/0.28))/(203.0681*(0.00283*300+100))).

FAQ

What is Taylor's Tool Life Constant given Production Cost per Component?

The Taylor's Tool Life Constant given Production Cost per Component is a method to determine the experimental exponent of Tool Life for the Machining Tool when it is used under a Constant Surface Speed Condition and is represented as n = ln(V/V_ref)/ln(L_ref*V*(C_p-M*(NPT+K/V))/(K*(M*t_c+C_t))) or Taylors 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))). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition, Reference Tool Life is the tool life of the tool obtained in the reference machining condition, Production Cost of Each Component is the total amount that it takes to produce a single component from scratch, 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, Time to Change One Tool is the measure of time it takes to change one tool during machining & The Cost of A Tool is simply the cost of one tool being used for machining.

How to calculate Taylor's Tool Life Constant given Production Cost per Component?

The Taylor's Tool Life Constant given Production Cost per Component is a method to determine the experimental exponent of Tool Life for the Machining Tool when it is used under a Constant Surface Speed Condition is calculated using Taylors 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))). To calculate Taylor's Tool Life Constant given Production Cost per Component, you need Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (L_ref), Production Cost of Each Component (C_p), Machining And Operating Rate (M), Non-Productive Time (NPT), Constant For Machining Condition (K), Time to Change One Tool (t_c) & Cost of A Tool (C_t). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Reference Tool Life, Production Cost of Each Component, Machining And Operating Rate, Non-Productive Time, Constant For Machining Condition, Time to Change One 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.

Home

FREE PDFs

🔍 Search