Tool Life given Batch Size and Number of Tools Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tool Life = Machining Time*Batch Size/Number of Tools Used
T = tm*Nb/Nt
This formula uses 4 Variables
Variables Used
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.
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.
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
Number of Tools Used: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = tm*Nb/Nt --> 30*2/3
Evaluating ... ...
T = 20
STEP 3: Convert Result to Output's Unit
20 Second -->0.333333333333333 Minute (Check conversion here)
FINAL ANSWER
0.333333333333333 0.333333 Minute <-- Tool Life
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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

Tool Life given Batch Size and Number of Tools Formula

Tool Life = Machining Time*Batch Size/Number of Tools Used
T = tm*Nb/Nt

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Tool Life given Batch Size and Number of Tools?

Tool Life given Batch Size and Number of Tools calculator uses Tool Life = Machining Time*Batch Size/Number of Tools Used to calculate the Tool Life, The Tool Life given Batch Size and Number of Tools is a method to determine the minimum Tool Life that is required to manufacture a batch of components using the given Number of Tools. Tool Life is denoted by T symbol.

How to calculate Tool Life given Batch Size and Number of Tools using this online calculator? To use this online calculator for Tool Life given Batch Size and Number of Tools, enter Machining Time (tm), Batch Size (Nb) & Number of Tools Used (Nt) and hit the calculate button. Here is how the Tool Life given Batch Size and Number of Tools calculation can be explained with given input values -> 0.005556 = 30*2/3.

FAQ

What is Tool Life given Batch Size and Number of Tools?
The Tool Life given Batch Size and Number of Tools is a method to determine the minimum Tool Life that is required to manufacture a batch of components using the given Number of Tools and is represented as T = tm*Nb/Nt or Tool Life = Machining Time*Batch Size/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 Number of Tools Used is the total number of tools used for manufacturing a batch of products.
How to calculate Tool Life given Batch Size and Number of Tools?
The Tool Life given Batch Size and Number of Tools is a method to determine the minimum Tool Life that is required to manufacture a batch of components using the given Number of Tools is calculated using Tool Life = Machining Time*Batch Size/Number of Tools Used. To calculate Tool Life given Batch Size and Number of Tools, you need Machining Time (tm), Batch Size (Nb) & Number of Tools Used (Nt). With our tool, you need to enter the respective value for Machining Time, Batch Size & 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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