Cutting Speed for Constant-Cutting-Speed Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity
V = (Tref/(L*Q))^n*Vref
This formula uses 6 Variables
Variables Used
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 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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Reference Tool Life: 5 Minute --> 300 Second (Check conversion ​here)
Tool Life: 50 Minute --> 3000 Second (Check conversion ​here)
Time Proportion of Cutting Edge: 0.04 --> No Conversion Required
Taylor's Tool Life Exponent: 0.512942 --> No Conversion Required
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (Tref/(L*Q))^n*Vref --> (300/(3000*0.04))^0.512942*0.0833333333333333
Evaluating ... ...
V = 0.133333382845777
STEP 3: Convert Result to Output's Unit
0.133333382845777 Meter per Second -->8000.00297074661 Millimeter per Minute (Check conversion ​here)
FINAL ANSWER
8000.00297074661 8000.003 Millimeter per Minute <-- Cutting Velocity
(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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Cutting Speed Calculators

Time for Facing given Instantaneous Cutting Speed
​ LaTeX ​ Go Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
Reference Cutting Velocity given Rate of Increase of Wear-Land Width
​ 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

Cutting Speed for Constant-Cutting-Speed Operation Formula

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

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 Cutting Speed for Constant-Cutting-Speed Operation?

Cutting Speed for Constant-Cutting-Speed Operation calculator uses Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity to calculate the Cutting Velocity, The Cutting Speed for Constant-Cutting-Speed Operation refers to a machining process where the cutting speed remains consistent throughout the entire operation. This is in contrast to variable cutting speed operations where the cutting speed may change during machining, such as in ramping, profiling, or adaptive machining strategies. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Cutting Speed for Constant-Cutting-Speed Operation, enter Reference Tool Life (Tref), Tool Life (L), Time Proportion of Cutting Edge (Q), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (Vref) and hit the calculate button. Here is how the Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 2E+10 = (300/(3000*0.04))^0.512942*0.0833333333333333.

FAQ

What is Cutting Speed for Constant-Cutting-Speed Operation?
The Cutting Speed for Constant-Cutting-Speed Operation refers to a machining process where the cutting speed remains consistent throughout the entire operation. This is in contrast to variable cutting speed operations where the cutting speed may change during machining, such as in ramping, profiling, or adaptive machining strategies and is represented as V = (Tref/(L*Q))^n*Vref or Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity. 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, 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, 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, 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 & 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.
How to calculate Cutting Speed for Constant-Cutting-Speed Operation?
The Cutting Speed for Constant-Cutting-Speed Operation refers to a machining process where the cutting speed remains consistent throughout the entire operation. This is in contrast to variable cutting speed operations where the cutting speed may change during machining, such as in ramping, profiling, or adaptive machining strategies is calculated using Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity. To calculate Cutting Speed for Constant-Cutting-Speed Operation, you need Reference Tool Life (Tref), Tool Life (L), Time Proportion of Cutting Edge (Q), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (Vref). With our tool, you need to enter the respective value for Reference Tool Life, Tool Life, Time Proportion of Cutting Edge, Taylor's Tool Life Exponent & Reference Cutting Velocity 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 Cutting Velocity?
In this formula, Cutting Velocity uses Reference Tool Life, Tool Life, Time Proportion of Cutting Edge, Taylor's Tool Life Exponent & Reference Cutting Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
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