Tool Life given Rate of Increase of Wear-Land Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component
T = tm*dVBdtratio*Tref*((Vref/V)^(1/n))/VBo
This formula uses 8 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.
Rate of Increase of Wear Land Width - (Measured in Meter per Second) - Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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 - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Increase in Wear Land Width per Component - (Measured in Meter) - Increase in Wear Land Width per Component is the increase in the width of the region where wear occurs in a tool.
STEP 1: Convert Input(s) to Base Unit
Machining Time: 0.75 Minute --> 45 Second (Check conversion here)
Rate of Increase of Wear Land Width: 0.16 Millimeter per Minute --> 2.66666666666667E-06 Meter per Second (Check conversion here)
Reference Tool Life: 5 Minute --> 300 Second (Check conversion here)
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required
Increase in Wear Land Width per Component: 0.2 Millimeter --> 0.0002 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = tm*dVBdtratio*Tref*((Vref/V)^(1/n))/VBo --> 45*2.66666666666667E-06*300*((0.0833333333333333/0.133333333333333)^(1/0.5))/0.0002
Evaluating ... ...
T = 70.3125000000004
STEP 3: Convert Result to Output's Unit
70.3125000000004 Second -->1.17187500000001 Minute (Check conversion here)
FINAL ANSWER
1.17187500000001 1.171875 Minute <-- Tool Life
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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4 Tool Life Calculators

Tool Life given Rate of Increase of Wear-Land Width
Go Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component
Tool Life Exponent given Rate of Increase of Wear-Land Width
Go Taylor's Tool Life Exponent = ln(Reference Cutting Velocity/Cutting Velocity)/ln(Maximum Wear Land Width/(Rate of Increase of Wear Land Width*Reference Tool Life))
Tool Life given Cutting Speed for Constant-Cutting-Speed Operation
Go Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement
Tool Life given Maximum Wear-Land Width
Go Tool Life = Maximum Wear Land Width*Machining Time/Increase in Wear Land Width per Component

Tool Life given Rate of Increase of Wear-Land Width Formula

Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component
T = tm*dVBdtratio*Tref*((Vref/V)^(1/n))/VBo

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 Rate of Increase of Wear-Land Width?

Tool Life given Rate of Increase of Wear-Land Width calculator uses Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component to calculate the Tool Life, The Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life to be used such that the maximum limit of Rate of Increase of Wear-Land Width is not exceeded. Tool Life is denoted by T symbol.

How to calculate Tool Life given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Tool Life given Rate of Increase of Wear-Land Width, enter Machining Time (tm), Rate of Increase of Wear Land Width (dVBdtratio), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Increase in Wear Land Width per Component (VBo) and hit the calculate button. Here is how the Tool Life given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 0.019531 = 45*2.66666666666667E-06*300*((0.0833333333333333/0.133333333333333)^(1/0.5))/0.0002 .

FAQ

What is Tool Life given Rate of Increase of Wear-Land Width?
The Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life to be used such that the maximum limit of Rate of Increase of Wear-Land Width is not exceeded and is represented as T = tm*dVBdtratio*Tref*((Vref/V)^(1/n))/VBo or Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component. 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, Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Increase in Wear Land Width per Component is the increase in the width of the region where wear occurs in a tool.
How to calculate Tool Life given Rate of Increase of Wear-Land Width?
The Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life to be used such that the maximum limit of Rate of Increase of Wear-Land Width is not exceeded is calculated using Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component. To calculate Tool Life given Rate of Increase of Wear-Land Width, you need Machining Time (tm), Rate of Increase of Wear Land Width (dVBdtratio), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Increase in Wear Land Width per Component (VBo). With our tool, you need to enter the respective value for Machining Time, Rate of Increase of Wear Land Width, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Increase in Wear Land Width per Component and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Tool Life?
In this formula, Tool Life uses Machining Time, Rate of Increase of Wear Land Width, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Increase in Wear Land Width per Component. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement
  • Tool Life = Maximum Wear Land Width*Machining Time/Increase in Wear Land Width per Component
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