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

✖Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life given Cutting Velocity [L_ref]

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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)
L_ref = (V/V_ref)^(1/n)*(1-n)*(C_t*t_c+C_t)/(n*C_t)
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

L_ref = (V/V_ref)^(1/n)*(1-n)*(C_t*t_c+C_t)/(n*C_t) --> (7/0.0499342666666667)^(1/0.540818)*(1-0.540818)*(48*54+48)/(0.540818*48)

Evaluating ... ...

L_ref = 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)

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

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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

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< 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

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 L_ref 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 (V_ref), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t) & Time to Change One Tool (t_c) 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 L_ref = (V/V_ref)^(1/n)*(1-n)*(C_t*t_c+C_t)/(n*C_t) 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 (V_ref), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t) & Time to Change One Tool (t_c). 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.

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