Reference Tool Life given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Tref = tm*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 - (Measured in Second) - Machining Time 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: 0.5 Minute --> 30 Second (Check conversion here)
Batch Size: 2 --> No Conversion Required
Cutting Velocity: 550 Meter per Minute --> 9.16666666666667 Meter per Second (Check conversion here)
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
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
Tref = tm*Nb*((V/Vref)^(1/n))/Nt --> 30*2*((9.16666666666667/0.0833333333333333)^(1/0.55))/3
Evaluating ... ...
Tref = 102956.331506696
STEP 3: Convert Result to Output's Unit
102956.331506696 Second -->1715.93885844493 Minute (Check conversion here)
FINAL ANSWER
1715.93885844493 โ‰ˆ 1715.939 Minute <-- Reference Tool Life
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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18 Tool Life and Production Batch Calculators

Taylor's Tool Life Exponent given Production Batch and Machining Conditions
Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))
Machining Time of one product given Production Batch and Machining Conditions
Go Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size
Number of Tools Used given Machining Time and Conditions
Go Number of Tools Used = Machining Time*Batch Size/(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))
Batch Size given Machining Time and Conditions
Go Batch Size = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Machining Time
Reference Cutting Velocity given Production Batch and Machining Conditions
Go Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent)
Reference Tool Life given Production Batch and Machining Conditions
Go Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Cutting Velocity given Production Batch and Machining Conditions
Go Cutting Velocity = Reference Cutting Velocity*(((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))^Taylor's Tool Life Exponent)
Diameter of workpiece given Constant for Cylindrical Turning
Go Diameter of Workpiece = Constant For Machining Condition*Feed/(pi*Length of Cut)
Turning Length given Constant for Cylindrical Turning
Go Length of Cut = Constant For Machining Condition*Feed/(pi*Diameter of Workpiece)
Feed given Constant for Cylindrical Turning
Go Feed = pi*Diameter of Workpiece*Length of Cut/Constant For Machining Condition
Constant for given Cylindrical Turning
Go Constant For Machining Condition = pi*Diameter of Workpiece*Length of Cut/Feed
Tool Life given Batch Size and Number of Tools
Go Tool Life = Machining Time*Batch Size/Number of Tools Used
Machining Time of One Product using Tool Life
Go Machining Time = Number of Tools Used*Tool Life/Batch Size
Batch Size using Tool Life and Machining Time
Go Batch Size = Number of Tools Used*Tool Life/Machining Time
Number of Tools Used given Tool Life
Go Number of Tools Used = Machining Time*Batch Size/Tool Life
Cutting Velocity of one product given Constant for Machining Operation
Go Cutting Velocity = Constant For Machining Condition/Machining Time
Constant for Machining Operation of one product given Machining Condition
Go Constant For Machining Condition = Machining Time*Cutting Velocity
Machining Time of one product given Constant for Machining Operation
Go Machining Time = Constant For Machining Condition/Cutting Velocity

Reference Tool Life given Production Batch and Machining Conditions Formula

Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Tref = tm*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*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 Tref 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 (tm), 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 -> 28.59898 = 30*2*((9.16666666666667/0.0833333333333333)^(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 Tref = tm*Nb*((V/Vref)^(1/n))/Nt or Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used. Machining Time 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*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 (tm), 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, 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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