Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation Calculator

✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_ref]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%

✖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.ⓘ Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation [Q]

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Formula

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

Formula

`"Q" = "T"_{"ref"}*(("V"_{"ref"}/"V")^(1/"n"))/"T"`

Example

`"0.026042"="5min"*(("5000mm/min"/"8000mm/min")^(1/"0.5"))/"75min"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life
Q = T_ref*((V_ref/V)^(1/n))/T
This formula uses 6 Variables

Variables Used

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.
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.
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.

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
Tool Life: 75 Minute --> 4500 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = T_ref*((V_ref/V)^(1/n))/T --> 300*((0.0833333333333333/0.133333333333333)^(1/0.5))/4500

Evaluating ... ...

Q = 0.0260416666666668

STEP 3: Convert Result to Output's Unit

0.0260416666666668 --> No Conversion Required

FINAL ANSWER

0.0260416666666668 ≈ 0.026042 <-- Time Proportion of Cutting Edge Engagement

(Calculation completed in 00.004 seconds)

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< 21 Cutting Speed Calculators

Reference Tool Life given Optimum Spindle Speed

Go Reference Tool Life = (((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*((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)))))/((1+Taylor's Tool Life Exponent)*Cost of a Tool*(1-Workpiece Radius Ratio))

Optimum Spindle Speed

Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(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 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)

Machining and Operating Rate given Optimum Spindle Speed

Go Machining and Operating Rate = (Cost of a Tool/(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Reference Tool Life))))-Time to Change One Tool)

Cost of 1 Tool given Optimum Spindle Speed

Go Cost of a Tool = (Machining and Operating Rate*(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Maximum Tool Life))))-Time to Change One Tool)

Optimum Spindle Speed given Tool Changing Cost

Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(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 changing each 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)

Tool Changing Time given Optimum Spindle Speed

Go Time to Change One Tool = Reference Tool Life/((Rotational Frequency of Spindle*2*pi*Outer Radius of Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio)))-Cost of a Tool/Machining and Operating Rate

Tool Changing Cost given Optimum Spindle Speed

Go Cost of changing each Tool = (Cost of a Tool*Maximum Tool Life/(((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio))))-Cost of a Tool

Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation

Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Maximum Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))

Time for Facing given Instantaneous Cutting Speed

Go Process Time = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)

Feed given Instantaneous Cutting Speed

Go Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)

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

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

Go Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life

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)

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

Go Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*Time Proportion of Cutting Edge Engagement*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

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

Rotational Frequency of Spindle given Cutting Speed

Go Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut)

Instantaneous Cutting Speed

Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius For Cut

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

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

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 Engagement given Cutting Speed for Constant-Cutting-Speed Operation?

Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life to calculate the Time Proportion of Cutting Edge Engagement, The Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time faction for which the Cutting Edge actually removes material from the workpiece in the given MAchining Time when the Machining is done under Constant Surface Speed Condition. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation, enter Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Tool Life (T) and hit the calculate button. Here is how the Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 0.026042 = 300*((0.0833333333333333/0.133333333333333)^(1/0.5))/4500.

FAQ

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

The Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time faction for which the Cutting Edge actually removes material from the workpiece in the given MAchining Time when the Machining is done under Constant Surface Speed Condition and is represented as Q = T_ref*((V_ref/V)^(1/n))/T or Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life. 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 & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

How to calculate Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation?

The Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the time faction for which the Cutting Edge actually removes material from the workpiece in the given MAchining Time when the Machining is done under Constant Surface Speed Condition is calculated using Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life. To calculate Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation, you need Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Tool Life (T). 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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