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

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.

Formulas to find Taylor Tool Life Exponent

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