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Taylor's Tool Life Constant given Production Cost per Component Formula

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

n = \frac{\ln (\frac{V}{V ref})}{\ln (L ref \cdot V \cdot \frac{C p - M \cdot (NPT + \frac{K}{V})}{K \cdot (M \cdot t c + C t)})}

n - Taylors Tool Life Exponent?V - Cutting Velocity?V_ref - Reference Cutting Velocity?L_ref - Reference Tool Life?C_p - Production Cost of Each Component?M - Machining And Operating Rate?NPT - Non-Productive Time?K - Constant For Machining Condition?t_c - Time to Change One Tool?C_t - Cost of A Tool?

Taylor's Tool Life Constant given Production Cost per Component Example

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Here is how the Taylor's Tool Life Constant given Production Cost per Component equation looks like with Values.

Here is how the Taylor's Tool Life Constant given Production Cost per Component equation looks like with Units.

Here is how the Taylor's Tool Life Constant given Production Cost per Component equation looks like.

0.125 = \frac{\ln (\frac{0.28}{0.76})}{\ln (2 \cdot 0.28 \cdot \frac{5.6553 - 0.0028 \cdot (20 + \frac{203.0681}{0.28})}{203.0681 \cdot (0.0028 \cdot 5 + 100)})}

0.125 = \frac{\ln (\frac{0.28m/s}{0.76m/s})}{\ln (2min \cdot 0.28m/s \cdot \frac{5.6553 - 0.0028 \cdot (20min + \frac{203.0681m}{0.28m/s})}{203.0681m \cdot (0.0028 \cdot 5min + 100)})}

0.125 = \frac{\ln (\frac{0.28}{0.76})}{\ln (2 \cdot 0.28 \cdot \frac{5.6553 - 0.0028 \cdot (20 + \frac{203.0681}{0.28})}{203.0681 \cdot (0.0028 \cdot 5 + 100)})}

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Taylor's Tool Life Constant given Production Cost per Component Solution

Follow our step by step solution on how to calculate Taylor's Tool Life Constant given Production Cost per Component?

FIRST Step Consider the formula

n = \frac{\ln (\frac{V}{V ref})}{\ln (L ref \cdot V \cdot \frac{C p - M \cdot (NPT + \frac{K}{V})}{K \cdot (M \cdot t c + C t)})}

Next Step Substitute values of Variables

∴

n = \frac{\ln (\frac{0.28m/s}{0.76m/s})}{\ln (2min \cdot 0.28m/s \cdot \frac{5.6553 - 0.0028 \cdot (20min + \frac{203.0681m}{0.28m/s})}{203.0681m \cdot (0.0028 \cdot 5min + 100)})}

Next Step Convert Units

∴

n = \frac{\ln (\frac{0.28m/s}{0.76m/s})}{\ln (120s \cdot 0.28m/s \cdot \frac{5.6553 - 0.0028 \cdot (1200s + \frac{203.0681m}{0.28m/s})}{203.0681m \cdot (0.0028 \cdot 300s + 100)})}

Next Step Prepare to Evaluate

∴

n = \frac{\ln (\frac{0.28}{0.76})}{\ln (120 \cdot 0.28 \cdot \frac{5.6553 - 0.0028 \cdot (1200 + \frac{203.0681}{0.28})}{203.0681 \cdot (0.0028 \cdot 300 + 100)})}

Next Step Evaluate

∴

n = 0.1249999583761

LAST Step Rounding Answer

∴

n = 0.125

Taylor's Tool Life Constant given Production Cost per Component Formula Elements

Variables

Functions

Taylors Tool Life Exponent

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

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylors Tool Life Exponent

Cutting Velocity

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

Symbol: V

Measurement: SpeedUnit: m/s