Taylor's Tool Life Exponent given Tool Life Solution

STEP 0: Pre-Calculation Summary
Formula Used
Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life)
n = tc/(tc+T)
This formula uses 3 Variables
Variables Used
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Time to Change One Tool: 1.6 Minute --> 96 Second (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = tc/(tc+T) --> 96/(96+4500)
Evaluating ... ...
n = 0.02088772845953
STEP 3: Convert Result to Output's Unit
0.02088772845953 --> No Conversion Required
FINAL ANSWER
0.02088772845953 0.020888 <-- Taylor's Tool Life Exponent
(Calculation completed in 00.004 seconds)

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
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12 Minimum Production Time Criteria Calculators

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity
Go Machining and Operating Rate = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)*Cost of changing each Tool /(Taylor's Tool Life Exponent*Reference Tool Life)
Cost to change One Tool given min production time
Go Cost of changing each Tool = Machining and Operating Rate*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
Cutting Velocity for Minimum Production Time given Tool Changing Cost
Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Machining and Operating Rate*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Cost of changing each Tool))^Taylor's Tool Life Exponent)
Tool Changing Time for each Tool given min production time
Go Time to Change One Tool = (Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
Reference Cutting Velocity using Minimum Production Time
Go Reference Cutting Velocity = Cutting Velocity/((Taylor's Tool Life Exponent*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Time to Change One Tool))^Taylor's Tool Life Exponent)
Reference Tool Life given Min Production time
Go Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)*Time to Change One Tool/Taylor's Tool Life Exponent
Cutting Velocity for Minimum Production Time
Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Time to Change One Tool))^Taylor's Tool Life Exponent)
Machining and Operating Rate given Tool Changing Cost and Tool Life
Go Machining and Operating Rate = Cost of changing each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Tool Life)
Tool Life for Minimum Production Time given Tool Changing Cost
Go Tool Life = Cost of changing each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
Tool Changing Time for each Tool given Tool Life
Go Time to Change One Tool = Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent)
Tool Life for Minimum Production Time
Go Tool Life = Time to Change One Tool*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent
Taylor's Tool Life Exponent given Tool Life
Go Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life)

Taylor's Tool Life Exponent given Tool Life Formula

Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life)
n = tc/(tc+T)

Taylor's Tool Life Equation

This relationship is credited to F. W. Taylor (~1900). It gives the relation between cutting speed and tool life. VTn = C where V= Cutting Velocity, T= Tool Life, n and C are Taylor's Constant.

How to Calculate Taylor's Tool Life Exponent given Tool Life?

Taylor's Tool Life Exponent given Tool Life calculator uses Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life) to calculate the Taylor's Tool Life Exponent, The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time. Taylor's Tool Life Exponent is denoted by n symbol.

How to calculate Taylor's Tool Life Exponent given Tool Life using this online calculator? To use this online calculator for Taylor's Tool Life Exponent given Tool Life, enter Time to Change One Tool (tc) & Tool Life (T) and hit the calculate button. Here is how the Taylor's Tool Life Exponent given Tool Life calculation can be explained with given input values -> 0.020888 = 96/(96+4500).

FAQ

What is Taylor's Tool Life Exponent given Tool Life?
The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time and is represented as n = tc/(tc+T) or Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life). Time to Change One Tool is the measure of time it takes to change one tool during machining & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
How to calculate Taylor's Tool Life Exponent given Tool Life?
The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time is calculated using Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life). To calculate Taylor's Tool Life Exponent given Tool Life, you need Time to Change One Tool (tc) & Tool Life (T). With our tool, you need to enter the respective value for Time to Change One Tool & Tool Life 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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