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 Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
V = ((Tref/(T*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 is the Tool Life of the tool obtained in the reference Machining Condition.
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.
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
STEP 1: Convert Input(s) to Base Unit
Reference Tool Life: 5 Minute --> 300 Second (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required
Taylor's Tool Life Exponent: 0.5 --> 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/(T*Q))^n)*Vref --> ((300/(4500*0.4))^0.5)*0.0833333333333333
Evaluating ... ...
V = 0.0340206908719886
STEP 3: Convert Result to Output's Unit
0.0340206908719886 Meter per Second -->2041.24145231931 Millimeter per Minute (Check conversion here)
FINAL ANSWER
2041.24145231931 2041.241 Millimeter per Minute <-- Cutting Velocity
(Calculation completed in 00.020 seconds)

Credits

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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7 Cutting Velocity Calculators

Reference Cutting Velocity given Optimum Spindle Speed
Go Reference Cutting Velocity = Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/((((1+Taylor's Tool Life Exponent)*Cost of a Tool*Reference Tool Life*(1-Workpiece Radius Ratio))/((1-Taylor's Tool Life Exponent)*(Cost of a Tool*Time to Change One Tool+Cost of a Tool)*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))))^Taylor's Tool Life Exponent)
Instantaneous Cutting Speed given Feed
Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
Reference Cutting Velocity given Rate of Increase of Wear-Land Width
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
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)
Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation
Go Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)
Cutting Speed for Constant-Cutting-Speed Operation
Go Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
Instantaneous Cutting Speed
Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Cutting Speed for Constant-Cutting-Speed Operation Formula

Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
V = ((Tref/(T*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 Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity to calculate the Cutting Velocity, The Cutting Speed for Constant-Cutting-Speed Operation refers to the cutting speed of the tool in a process where there is almost no variation is allowed during machining. 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 (T), Time Proportion of Cutting Edge Engagement (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 -> 1.2E+8 = ((300/(4500*0.4))^0.5)*0.0833333333333333.

FAQ

What is Cutting Speed for Constant-Cutting-Speed Operation?
The Cutting Speed for Constant-Cutting-Speed Operation refers to the cutting speed of the tool in a process where there is almost no variation is allowed during machining and is represented as V = ((Tref/(T*Q))^n)*Vref or Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity. Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, 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, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
How to calculate Cutting Speed for Constant-Cutting-Speed Operation?
The Cutting Speed for Constant-Cutting-Speed Operation refers to the cutting speed of the tool in a process where there is almost no variation is allowed during machining is calculated using Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^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 (T), Time Proportion of Cutting Edge Engagement (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 Engagement, 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 Engagement, 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*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
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