Reference Cutting Velocity using Minimum Production Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vref = Vp/((nmpt*Lref/((1-nmpt)*tct))^nmpt)
This formula uses 5 Variables
Variables Used
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used 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.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second 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
Vref = Vp/((nmpt*Lref/((1-nmpt)*tct))^nmpt) --> 5.977043/((0.5*103716.2/((1-0.5)*20))^0.5)
Evaluating ... ...
Vref = 0.0829999975998556
STEP 3: Convert Result to Output's Unit
0.0829999975998556 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0829999975998556 0.083 Meter per Second <-- Reference Cutting Velocity
(Calculation completed in 00.004 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 Cutting Velocity using Minimum Production Time Formula

​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)
Vref = Vp/((nmpt*Lref/((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 Cutting Velocity using Minimum Production Time?

Reference Cutting Velocity using Minimum Production Time calculator uses 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) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum. Reference Cutting Velocity is denoted by Vref symbol.

How to calculate Reference Cutting Velocity using Minimum Production Time using this online calculator? To use this online calculator for Reference Cutting Velocity using Minimum Production Time, enter Cutting Velocity For Minimum Production Time (Vp), Taylor's Exponent For Minimum Production Time (nmpt), Reference Tool Life (Lref) & Time to Change Tool For Minimum Production Time (tct) and hit the calculate button. Here is how the Reference Cutting Velocity using Minimum Production Time calculation can be explained with given input values -> 0.003532 = 5.977043/((0.5*103716.2/((1-0.5)*20))^0.5).

FAQ

What is Reference Cutting Velocity using Minimum Production Time?
The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum and is represented as Vref = Vp/((nmpt*Lref/((1-nmpt)*tct))^nmpt) or 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). 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, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition & 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 Cutting Velocity using Minimum Production Time?
The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum is calculated using 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). To calculate Reference Cutting Velocity using Minimum Production Time, you need Cutting Velocity For Minimum Production Time (Vp), Taylor's Exponent For Minimum Production Time (nmpt), Reference Tool Life (Lref) & 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, Taylor's Exponent For Minimum Production Time, Reference Tool Life & 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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