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

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖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.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖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 Tool Life [T_ref]			+10% -10%
✖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.ⓘ Tool Life [L]			+10% -10%
✖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.ⓘ Time Proportion of Cutting Edge [Q]			+10% -10%

✖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.ⓘ Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation [n]

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Formula

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

Formula

n = \frac{\ln (\frac{V}{V ref})}{\ln (\frac{T ref}{L \cdot Q})}

Example

0.512942 = \frac{\ln (\frac{8000 mm/min}{5000 mm/min})}{\ln (\frac{5 min}{50 min \cdot 0.04})}

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

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))
n = ln(V/V_ref)/ln(T_ref/(L*Q))
This formula uses 1 Functions, 6 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = ln(V/V_ref)/ln(T_ref/(L*Q)) --> ln(0.133333333333333/0.0833333333333333)/ln(300/(3000*0.04))

Evaluating ... ...

n = 0.512941594732058

STEP 3: Convert Result to Output's Unit

0.512941594732058 --> No Conversion Required

FINAL ANSWER

0.512941594732058 ≈ 0.512942 <-- Taylor's Tool Life Exponent

(Calculation completed in 00.020 seconds)

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

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< Cutting Speed Calculators

Time for Facing given Instantaneous Cutting Speed

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

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

Instantaneous Cutting Speed

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

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

Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))
n = ln(V/V_ref)/ln(T_ref/(L*Q))

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation?

Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge)) to calculate the Taylor's Tool Life Exponent, The Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation also known as Taylor's tool life exponent, is a parameter used in tool life equations to model the relationship between tool life and cutting speed for a constant-cutting-speed operation. Taylor's exponent is typically determined experimentally for a specific combination of cutting parameters, tooling, and material being machined. Taylor's Tool Life Exponent is denoted by n symbol.

How to calculate Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation, enter Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (T_ref), Tool Life (L) & Time Proportion of Cutting Edge (Q) and hit the calculate button. Here is how the Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 0.057595 = ln(0.133333333333333/0.0833333333333333)/ln(300/(3000*0.04)).

FAQ

What is Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation?

The Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation also known as Taylor's tool life exponent, is a parameter used in tool life equations to model the relationship between tool life and cutting speed for a constant-cutting-speed operation. Taylor's exponent is typically determined experimentally for a specific combination of cutting parameters, tooling, and material being machined and is represented as n = ln(V/V_ref)/ln(T_ref/(L*Q)) or Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge)). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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, 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.

How to calculate Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation?

The Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation also known as Taylor's tool life exponent, is a parameter used in tool life equations to model the relationship between tool life and cutting speed for a constant-cutting-speed operation. Taylor's exponent is typically determined experimentally for a specific combination of cutting parameters, tooling, and material being machined is calculated using Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge)). To calculate Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation, you need Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (T_ref), Tool Life (L) & Time Proportion of Cutting Edge (Q). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Reference Tool Life, Tool Life & Time Proportion of Cutting Edge 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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