Reference Tool Life given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Lref = (V/Vref)^(1/n)*(1-n)*(Ct*tc+Ct)/(n*Ct)
This formula uses 6 Variables
Variables Used
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.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
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.
STEP 1: Convert Input(s) to Base Unit
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
Cost of A Tool: 48 --> No Conversion Required
Time to Change One Tool: 0.9 Minute --> 54 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lref = (V/Vref)^(1/n)*(1-n)*(Ct*tc+Ct)/(n*Ct) --> (7/0.0499342666666667)^(1/0.540818)*(1-0.540818)*(48*54+48)/(0.540818*48)
Evaluating ... ...
Lref = 435163.798940782
STEP 3: Convert Result to Output's Unit
435163.798940782 Second -->7252.72998234637 Minute (Check conversion ​here)
FINAL ANSWER
7252.72998234637 7252.73 Minute <-- Reference Tool Life
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
Verifier Image
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

Reference Tool Life given Cutting Velocity Formula

​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)
Lref = (V/Vref)^(1/n)*(1-n)*(Ct*tc+Ct)/(n*Ct)

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 Tool Life given Cutting Velocity?

Reference Tool Life given Cutting Velocity calculator uses 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) to calculate the Reference Tool Life, The Reference Tool Life given Cutting Velocity is a method to determine the optimal Tool Sharpening period required in reference machining condition to manufacture a given batch of components such that The Total Production Cost is minimum. Reference Tool Life is denoted by Lref symbol.

How to calculate Reference Tool Life given Cutting Velocity using this online calculator? To use this online calculator for Reference Tool Life given Cutting Velocity, enter Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Cost of A Tool (Ct) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Reference Tool Life given Cutting Velocity calculation can be explained with given input values -> 120.8788 = (7/0.0499342666666667)^(1/0.540818)*(1-0.540818)*(48*54+48)/(0.540818*48).

FAQ

What is Reference Tool Life given Cutting Velocity?
The Reference Tool Life given Cutting Velocity is a method to determine the optimal Tool Sharpening period required in reference machining condition to manufacture a given batch of components such that The Total Production Cost is minimum and is represented as Lref = (V/Vref)^(1/n)*(1-n)*(Ct*tc+Ct)/(n*Ct) or 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). 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, Cost of A Tool is simply the cost of one tool being used for machining & Time to Change One Tool is the measure of time it takes to change one tool during machining.
How to calculate Reference Tool Life given Cutting Velocity?
The Reference Tool Life given Cutting Velocity is a method to determine the optimal Tool Sharpening period required in reference machining condition to manufacture a given batch of components such that The Total Production Cost is minimum is calculated using 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). To calculate Reference Tool Life given Cutting Velocity, you need Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Cost of A Tool (Ct) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of A Tool & Time to Change One Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!