Reference Tool Life given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Lref = tb*Nb*((V/Vref)^(1/n))/Nt
This formula uses 7 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.
Machining Time For Tool Life Production - (Measured in Second) - Machining Time For Tool Life Production is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
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.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
STEP 1: Convert Input(s) to Base Unit
Machining Time For Tool Life Production: 30 Second --> 30 Second No Conversion Required
Batch Size: 2 --> No Conversion Required
Cutting Velocity: 9.167 Meter per Second --> 9.167 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Number of Tools Used: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lref = tb*Nb*((V/Vref)^(1/n))/Nt --> 30*2*((9.167/0.083)^(1/0.55))/3
Evaluating ... ...
Lref = 103716.203693242
STEP 3: Convert Result to Output's Unit
103716.203693242 Second --> No Conversion Required
FINAL ANSWER
103716.203693242 103716.2 Second <-- Reference Tool Life
(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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​ LaTeX ​ Go Tool Life = Machining Time For Tool Life Production*Batch Size/Number of Tools Used
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Batch Size using Tool Life and Machining Time
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Number of Tools Used given Tool Life
​ LaTeX ​ Go Number of Tools Used = Machining Time For Tool Life Production*Batch Size/Tool Life

Reference Tool Life given Production Batch and Machining Conditions Formula

​LaTeX ​Go
Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Lref = tb*Nb*((V/Vref)^(1/n))/Nt

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 Production Batch and Machining Conditions?

Reference Tool Life given Production Batch and Machining Conditions calculator uses Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used to calculate the Reference Tool Life, The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components. Reference Tool Life is denoted by Lref symbol.

How to calculate Reference Tool Life given Production Batch and Machining Conditions using this online calculator? To use this online calculator for Reference Tool Life given Production Batch and Machining Conditions, enter Machining Time For Tool Life Production (tb), Batch Size (Nb), Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n) & Number of Tools Used (Nt) and hit the calculate button. Here is how the Reference Tool Life given Production Batch and Machining Conditions calculation can be explained with given input values -> 103716.2 = 30*2*((9.167/0.083)^(1/0.55))/3.

FAQ

What is Reference Tool Life given Production Batch and Machining Conditions?
The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components and is represented as Lref = tb*Nb*((V/Vref)^(1/n))/Nt or Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used. Machining Time For Tool Life Production is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material, Batch Size is the count of similar kinds of products to be manufactured, 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 & The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
How to calculate Reference Tool Life given Production Batch and Machining Conditions?
The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components is calculated using Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used. To calculate Reference Tool Life given Production Batch and Machining Conditions, you need Machining Time For Tool Life Production (tb), Batch Size (Nb), Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n) & Number of Tools Used (Nt). With our tool, you need to enter the respective value for Machining Time For Tool Life Production, Batch Size, Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent & Number of Tools Used 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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