Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life
Q = Tref*((Vref/V)^(1/n))/L
This formula uses 6 Variables
Variables Used
Time Proportion of Cutting Edge - Time Proportion of Cutting Edge is the duration during a machining operation that a specific portion of the cutting edge of the tool is actively engaged in removing material from the workpiece.
Reference Tool Life - (Measured in Second) - Reference Tool Life refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations.
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 a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining.
Tool Life - (Measured in Second) - Tool Life refers to the duration or number of components machined before a cutting tool becomes no longer capable of maintaining the desired machining quality or performance standards.
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: 0.512942 --> No Conversion Required
Tool Life: 50 Minute --> 3000 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = Tref*((Vref/V)^(1/n))/L --> 300*((0.0833333333333333/0.133333333333333)^(1/0.512942))/3000
Evaluating ... ...
Q = 0.0400000289579246
STEP 3: Convert Result to Output's Unit
0.0400000289579246 --> No Conversion Required
FINAL ANSWER
0.0400000289579246 0.04 <-- Time Proportion of Cutting Edge
(Calculation completed in 00.004 seconds)

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

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​ LaTeX ​ Go Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
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​ LaTeX ​ Go Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Cutting Velocity given Rate of Increase of Wear-Land Width
​ LaTeX ​ Go Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
Instantaneous Cutting Speed
​ LaTeX ​ Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Formula

​LaTeX ​Go
Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life
Q = Tref*((Vref/V)^(1/n))/L

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 Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life to calculate the Time Proportion of Cutting Edge, The Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation refers to the fraction of time during a machining operation that the cutting edge of the tool is actively engaged in cutting the workpiece material. This parameter is influenced by the cutting speed, feed rate, depth of cut, tool geometry, and machining conditions. Time Proportion of Cutting Edge is denoted by Q symbol.

How to calculate Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Time Proportion of Edge 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) & Tool Life (L) and hit the calculate button. Here is how the Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 56.00004 = 300*((0.0833333333333333/0.133333333333333)^(1/0.512942))/3000.

FAQ

What is Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?
The Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation refers to the fraction of time during a machining operation that the cutting edge of the tool is actively engaged in cutting the workpiece material. This parameter is influenced by the cutting speed, feed rate, depth of cut, tool geometry, and machining conditions and is represented as Q = Tref*((Vref/V)^(1/n))/L or Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life. Reference Tool Life refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions, Reference Cutting Velocity refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining & Tool Life refers to the duration or number of components machined before a cutting tool becomes no longer capable of maintaining the desired machining quality or performance standards.
How to calculate Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?
The Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation refers to the fraction of time during a machining operation that the cutting edge of the tool is actively engaged in cutting the workpiece material. This parameter is influenced by the cutting speed, feed rate, depth of cut, tool geometry, and machining conditions is calculated using Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life. To calculate Time Proportion of Edge 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) & Tool Life (L). With our tool, you need to enter the respective value for Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Tool Life 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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