Tool Changing Time for each Tool given Cutting Velocity Calculator

✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+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%
✖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%
✖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%

✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Tool Changing Time for each Tool given Cutting Velocity [t_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Tool Changing Time for each Tool given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time to Change One Tool = ((Cost of A Tool*Reference Tool Life/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of A Tool)/Cost of A Tool
t_c = ((C_t*L_ref/((V/V_ref)^(1/n)*(1-n)/n))-C_t)/C_t
This formula uses 6 Variables

Variables Used

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 - Cost of A Tool is simply the cost of one tool being used for machining.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition.
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

STEP 1: Convert Input(s) to Base Unit

Cost of A Tool: 48 --> No Conversion Required
Reference Tool Life: 8400 Minute --> 504000 Second (Check conversion here)
Cutting Velocity: 420 Meter per Minute --> 7 Meter per Second (Check conversion here)
Reference Cutting Velocity: 2.996056 Meter per Minute --> 0.0499342666666667 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.540818 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = ((C_t*L_ref/((V/V_ref)^(1/n)*(1-n)/n))-C_t)/C_t --> ((48*504000/((7/0.0499342666666667)^(1/0.540818)*(1-0.540818)/0.540818))-48)/48

Evaluating ... ...

t_c = 62.7001516841988

STEP 3: Convert Result to Output's Unit

62.7001516841988 Second -->1.04500252806998 Minute (Check conversion here)

FINAL ANSWER

1.04500252806998 ≈ 1.045003 Minute <-- Time to Change One Tool

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Economics » Production Cost » Minimum Production Cost » Tool Changing Time for each Tool given Cutting Velocity

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!

< Minimum Production Cost Calculators

Machining and Operating Rate using Minimum Production Cost

LaTeX Go Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))

Reference Cutting Velocity given Cutting Velocity

LaTeX Go Reference Cutting Velocity = Cutting Velocity/(((Taylor's Tool Life Exponent*Cost of A Tool*Reference Tool Life)/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)))^Taylor's Tool Life Exponent)

Reference Tool Life given Cutting Velocity

LaTeX Go Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)/(Taylor's Tool Life Exponent*Cost of A Tool)

Cutting Velocity for Minimum Production Cost

LaTeX Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Cost of A Tool*Reference Tool Life)/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)))^Taylor's Tool Life Exponent

Tool Changing Time for each Tool given Cutting Velocity Formula

LaTeX Go

Tool Changing Time and its effect on Production.

Every time a tool has certain life within which it can perform satisfactorily, and thus replacement or re-sharpening is required to perform once tool life exceeds. Cutting or machining action is also required to pause for a certain time. An increase in cutting speed or feed rate will reduce tool life and thus frequent tool changing will be desired. This unplanned and frequent interruption in machining will impose loss to the industry.

How to Calculate Tool Changing Time for each Tool given Cutting Velocity?

Tool Changing Time for each Tool given Cutting Velocity calculator uses Time to Change One Tool = ((Cost of A Tool*Reference Tool Life/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of A Tool)/Cost of A Tool to calculate the Time to Change One Tool, The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production. Time to Change One Tool is denoted by t_c symbol.

How to calculate Tool Changing Time for each Tool given Cutting Velocity using this online calculator? To use this online calculator for Tool Changing Time for each Tool given Cutting Velocity, enter Cost of A Tool (C_t), Reference Tool Life (L_ref), Cutting Velocity (V), Reference Cutting Velocity (V_ref) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Tool Changing Time for each Tool given Cutting Velocity calculation can be explained with given input values -> 0.017417 = ((48*504000/((7/0.0499342666666667)^(1/0.540818)*(1-0.540818)/0.540818))-48)/48.

FAQ

What is Tool Changing Time for each Tool given Cutting Velocity?

The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production and is represented as t_c = ((C_t*L_ref/((V/V_ref)^(1/n)*(1-n)/n))-C_t)/C_t or Time to Change One Tool = ((Cost of A Tool*Reference Tool Life/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of A Tool)/Cost of A Tool. Cost of A Tool is simply the cost of one tool being used for machining, Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition, 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 & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

How to calculate Tool Changing Time for each Tool given Cutting Velocity?

The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production is calculated using Time to Change One Tool = ((Cost of A Tool*Reference Tool Life/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of A Tool)/Cost of A Tool. To calculate Tool Changing Time for each Tool given Cutting Velocity, you need Cost of A Tool (C_t), Reference Tool Life (L_ref), Cutting Velocity (V), Reference Cutting Velocity (V_ref) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cost of A Tool, Reference Tool Life, Cutting Velocity, Reference Cutting Velocity & Taylor's Tool Life Exponent 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