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Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Formula

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GoTaylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions Formula

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Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear. Check FAQs

y = \frac{\ln (\frac{C}{V \cdot (f^{a}) \cdot (d^{b})})}{\ln (L)}

y - Taylor Tool Life Exponent?C - Taylor's Constant?V - Cutting Velocity?f - Feed Rate?a - Taylor's Exponent for Feed Rate in Taylors Theory?d - Depth of Cut?b - Taylor's Exponent for Depth of Cut?L - Tool Life in Taylors Theory?

Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Example

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Here is how the Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life equation looks like with Values.

Here is how the Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life equation looks like with Units.

Here is how the Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life equation looks like.

0.8525 = \frac{\ln (\frac{85.1306}{0.8333 \cdot ({0.7}^{0.2}) \cdot ({0.013}^{0.24})})}{\ln (1.18)}

0.8525 = \frac{\ln (\frac{85.1306}{0.8333m/s \cdot ({0.7mm/rev}^{0.2}) \cdot ({0.013m}^{0.24})})}{\ln (1.18h)}

0.8525 = \frac{\ln (\frac{85.1306}{0.8333 \cdot ({0.7}^{0.2}) \cdot ({0.013}^{0.24})})}{\ln (1.18)}

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Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Solution

Follow our step by step solution on how to calculate Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life?

FIRST Step Consider the formula

y = \frac{\ln (\frac{C}{V \cdot (f^{a}) \cdot (d^{b})})}{\ln (L)}

Next Step Substitute values of Variables

∴

y = \frac{\ln (\frac{85.1306}{0.8333m/s \cdot ({0.7mm/rev}^{0.2}) \cdot ({0.013m}^{0.24})})}{\ln (1.18h)}

Next Step Convert Units

∴

y = \frac{\ln (\frac{85.1306}{0.8333m/s \cdot ({0.0007m/rev}^{0.2}) \cdot ({0.013m}^{0.24})})}{\ln (4248s)}

Next Step Prepare to Evaluate

∴

y = \frac{\ln (\frac{85.1306}{0.8333 \cdot ({0.0007}^{0.2}) \cdot ({0.013}^{0.24})})}{\ln (4248)}

Next Step Evaluate

∴

y = 0.852465205013649

LAST Step Rounding Answer

∴

y = 0.8525

Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Formula Elements

Variables

Functions

Taylor Tool Life Exponent

Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Taylor's Constant

Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Cutting Velocity

Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Feed Rate

Feed Rate is defined as the tool's distance travelled during one spindle revolution.

Symbol: f

Measurement: FeedUnit: mm/rev

Note: Value should be greater than 0.

Taylor's Exponent for Feed Rate in Taylors Theory

Taylor's Exponent for Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Depth of Cut

Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Taylor's Exponent for Depth of Cut

Taylor's Exponent for Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Tool Life in Taylors Theory

Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: L

Measurement: TimeUnit: h

Note: Value should be greater than 0.

ln

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Credits

Creator Image

Created by Kumar Siddhant

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

Kumar Siddhant has created this Formula and 400+ more formulas!

Verifier Image

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Formula and 400+ more formulas!

Other Formulas to find Taylor Tool Life Exponent

Go Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions

y = (- 1) \cdot \frac{\ln (R v)}{\ln (R l)}

Other formulas in Taylor's Theory category

Go Taylor's Tool Life given Cutting Velocity and Intercept

T tl = {(\frac{C}{V})}^{\frac{1}{y}}

Go Taylor's Intercept given Cutting Velocity and Tool Life

C = V \cdot (L^{y}) \cdot (f^{a}) \cdot (d^{b})

See More

How to Evaluate Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life?

Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life evaluator uses Taylor Tool Life Exponent = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)))/ln(Tool Life in Taylors Theory) to evaluate the Taylor Tool Life Exponent, The Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated. Taylor Tool Life Exponent is denoted by y symbol.

How to evaluate Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life using this online evaluator? To use this online evaluator for Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life, enter Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Depth of Cut (d), Taylor's Exponent for Depth of Cut (b) & Tool Life in Taylors Theory (L) and hit the calculate button.

FAQs on Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life

What is the formula to find Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life?

The formula of Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life is expressed as Taylor Tool Life Exponent = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)))/ln(Tool Life in Taylors Theory). Here is an example- 0.852465 = ln(85.13059/(0.833333*(0.0007^0.2)*(0.013^0.24)))/ln(4248).

How to calculate Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life?

With Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Depth of Cut (d), Taylor's Exponent for Depth of Cut (b) & Tool Life in Taylors Theory (L) we can find Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life using the formula - Taylor Tool Life Exponent = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)))/ln(Tool Life in Taylors Theory). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Taylor Tool Life Exponent?

Here are the different ways to Calculate Taylor Tool Life Exponent-

Taylor Tool Life Exponent=(-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)

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