Reference Tool Life given Min Production time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time
Lref = (Vp/Vref)^(1/nmpt)*(1-nmpt)*tct/nmpt
This formula uses 5 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 For Minimum Production Time - (Measured in Meter per Second) - Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum.
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 Exponent For Minimum Production Time - Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.
Time to Change Tool For Minimum Production Time - (Measured in Second) - Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.
STEP 1: Convert Input(s) to Base Unit
Cutting Velocity For Minimum Production Time: 5.977043 Meter per Second --> 5.977043 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Time to Change Tool For Minimum Production Time: 20 Second --> 20 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lref = (Vp/Vref)^(1/nmpt)*(1-nmpt)*tct/nmpt --> (5.977043/0.083)^(1/0.5)*(1-0.5)*20/0.5
Evaluating ... ...
Lref = 103716.194001594
STEP 3: Convert Result to Output's Unit
103716.194001594 Second --> No Conversion Required
FINAL ANSWER
103716.194001594 103716.2 Second <-- Reference Tool Life
(Calculation completed in 00.010 seconds)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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Minimum Production Time Calculators

Tool Changing Time for each Tool given min production time
​ LaTeX ​ Go Time to Change Tool For Minimum Production Time = (Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))
Reference Cutting Velocity using Minimum Production Time
​ LaTeX ​ Go Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)
Reference Tool Life given Min Production time
​ LaTeX ​ Go Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time
Cutting Velocity for Minimum Production Time
​ LaTeX ​ Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Reference Tool Life given Min Production time Formula

​LaTeX ​Go
Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time
Lref = (Vp/Vref)^(1/nmpt)*(1-nmpt)*tct/nmpt

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 Min Production time?

Reference Tool Life given Min Production time calculator uses Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time to calculate the Reference Tool Life, The Reference Tool Life given Min Production time 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 Time is minimum. Reference Tool Life is denoted by Lref symbol.

How to calculate Reference Tool Life given Min Production time using this online calculator? To use this online calculator for Reference Tool Life given Min Production time, enter Cutting Velocity For Minimum Production Time (Vp), Reference Cutting Velocity (Vref), Taylor's Exponent For Minimum Production Time (nmpt) & Time to Change Tool For Minimum Production Time (tct) and hit the calculate button. Here is how the Reference Tool Life given Min Production time calculation can be explained with given input values -> 103716.2 = (5.977043/0.083)^(1/0.5)*(1-0.5)*20/0.5.

FAQ

What is Reference Tool Life given Min Production time?
The Reference Tool Life given Min Production time 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 Time is minimum and is represented as Lref = (Vp/Vref)^(1/nmpt)*(1-nmpt)*tct/nmpt or Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time. Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear & Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.
How to calculate Reference Tool Life given Min Production time?
The Reference Tool Life given Min Production time 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 Time is minimum is calculated using Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time. To calculate Reference Tool Life given Min Production time, you need Cutting Velocity For Minimum Production Time (Vp), Reference Cutting Velocity (Vref), Taylor's Exponent For Minimum Production Time (nmpt) & Time to Change Tool For Minimum Production Time (tct). With our tool, you need to enter the respective value for Cutting Velocity For Minimum Production Time, Reference Cutting Velocity, Taylor's Exponent For Minimum Production Time & Time to Change Tool For Minimum Production Time 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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