Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement
T = Tref*((Vref/V)^(1/n))/Q
This formula uses 6 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.
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.
Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
STEP 1: Convert Input(s) to Base Unit
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
Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = Tref*((Vref/V)^(1/n))/Q --> 300*((0.0833333333333333/0.133333333333333)^(1/0.5))/0.4
Evaluating ... ...
T = 292.968750000001
STEP 3: Convert Result to Output's Unit
292.968750000001 Second -->4.88281250000002 Minute (Check conversion here)
FINAL ANSWER
4.88281250000002 4.882813 Minute <-- Tool Life
(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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 Cutting Speed for Constant-Cutting-Speed Operation Formula

Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement
T = Tref*((Vref/V)^(1/n))/Q

Advantages of Constant-Cutting-Speed Operation

Constant Surface Speed provides at least four advantages:
1. It simplifies programming.
2. It provides a consistent workpiece finish.
3. It optimizes Tool Life - Tools will always machine at the appropriate speed.
4. It optimizes Machining Time - Cutting conditions will always be properly set, which translates to minimal machining time.

How to Calculate Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?

Tool Life given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement to calculate the Tool Life, The Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time for which a too can last when machining under a Constant Surface Speed condition. Tool Life is denoted by T symbol.

How to calculate Tool Life given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Tool Life given Cutting Speed for Constant-Cutting-Speed Operation, enter Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Time Proportion of Cutting Edge Engagement (Q) and hit the calculate button. Here is how the Tool Life given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 0.08138 = 300*((0.0833333333333333/0.133333333333333)^(1/0.5))/0.4.

FAQ

What is Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?
The Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time for which a too can last when machining under a Constant Surface Speed condition and is represented as T = Tref*((Vref/V)^(1/n))/Q or Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement. 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 & Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
How to calculate Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?
The Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time for which a too can last when machining under a Constant Surface Speed condition is calculated using Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge Engagement. To calculate Tool Life given Cutting Speed for Constant-Cutting-Speed Operation, you need Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Time Proportion of Cutting Edge Engagement (Q). With our tool, you need to enter the respective value for Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Time Proportion of Cutting Edge Engagement 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 Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Time Proportion of Cutting Edge Engagement. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tool Life = Maximum Wear Land Width*Machining Time/Increase in Wear Land Width per Component
  • 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
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