Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)
Vref = V/((Tref/(T*Q))^n)
This formula uses 6 Variables
Variables Used
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).
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.
STEP 1: Convert Input(s) to Base Unit
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vref = V/((Tref/(T*Q))^n) --> 0.133333333333333/((300/(4500*0.4))^0.5)
Evaluating ... ...
Vref = 0.32659863237109
STEP 3: Convert Result to Output's Unit
0.32659863237109 Meter per Second -->19595.9179422654 Millimeter per Minute (Check conversion here)
FINAL ANSWER
19595.9179422654 19595.92 Millimeter per Minute <-- Reference Cutting Velocity
(Calculation completed in 00.004 seconds)

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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

Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation Formula

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

What is Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation?

Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent) to calculate the Reference Cutting Velocity, The Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the Cutting Velocity for the reference condition when operated in a Constant Surface Speed condition. Reference Cutting Velocity is denoted by Vref symbol.

How to calculate Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation, enter Cutting Velocity (V), Reference Tool Life (Tref), Tool Life (T), Time Proportion of Cutting Edge Engagement (Q) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 1.2E+9 = 0.133333333333333/((300/(4500*0.4))^0.5) .

FAQ

What is Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation?
The Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the Cutting Velocity for the reference condition when operated in a Constant Surface Speed condition and is represented as Vref = V/((Tref/(T*Q))^n) or Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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.
How to calculate Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation?
The Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the Cutting Velocity for the reference condition when operated in a Constant Surface Speed condition is calculated using Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent). To calculate Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation, you need Cutting Velocity (V), Reference Tool Life (Tref), Tool Life (T), Time Proportion of Cutting Edge Engagement (Q) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cutting Velocity, Reference Tool Life, Tool Life, Time Proportion of Cutting Edge Engagement & Taylor's Tool Life Exponent 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 Reference Cutting Velocity?
In this formula, Reference Cutting Velocity uses Cutting Velocity, Reference Tool Life, Tool Life, Time Proportion of Cutting Edge Engagement & Taylor's Tool Life Exponent. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
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