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

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

n' cut = \frac{\ln (\frac{C}{V})}{L}

n'_cut - Taylor's Tool Life Exponent in Taylors Theory?C - Taylor's Constant?V - Cutting Velocity?L - Tool Life in Taylors Theory?

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

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

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

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

0.0011 = \frac{\ln (\frac{85.1306}{0.8333})}{1.18}

0.0011 = \frac{\ln (\frac{85.1306}{0.8333m/s})}{1.18h}

0.0011 = \frac{\ln (\frac{85.1306}{0.8333})}{1.18}

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

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

FIRST Step Consider the formula

n' cut = \frac{\ln (\frac{C}{V})}{L}

Next Step Substitute values of Variables

∴

n' cut = \frac{\ln (\frac{85.1306}{0.8333m/s})}{1.18h}

Next Step Convert Units

∴

n' cut = \frac{\ln (\frac{85.1306}{0.8333m/s})}{4248s}

Next Step Prepare to Evaluate

∴

n' cut = \frac{\ln (\frac{85.1306}{0.8333})}{4248}

Next Step Evaluate

∴

n' cut = 0.00108910272769368

LAST Step Rounding Answer

∴

n' cut = 0.0011

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

Variables

Functions

Taylor's Tool Life Exponent in Taylors Theory

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

Symbol: n'_cut

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylor's Tool Life Exponent in Taylors Theory

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.

Formulas to find Taylor's Constant

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.

Formulas to find Cutting Velocity

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.

Formulas to find Tool Life in Taylors Theory

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

Syntax: ln(Number)

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 Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions

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

Go Taylor's Intercept given Cutting Velocity and Tool Life

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

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

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

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

Taylor's Tool Life Exponent given Cutting Velocity and Tool Life evaluator uses Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory to evaluate the Taylor's Tool Life Exponent in Taylors Theory, The Taylor's Tool Life Exponent given Cutting Velocity and Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated. Taylor's Tool Life Exponent in Taylors Theory is denoted by n'_cut symbol.

How to evaluate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life using this online evaluator? To use this online evaluator for Taylor's Tool Life Exponent given Cutting Velocity and Tool Life, enter Taylor's Constant (C), Cutting Velocity (V) & Tool Life in Taylors Theory (L) and hit the calculate button.

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

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

The formula of Taylor's Tool Life Exponent given Cutting Velocity and Tool Life is expressed as Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory. Here is an example- 0.001086 = ln(85.13059/0.833333)/4248.

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

With Taylor's Constant (C), Cutting Velocity (V) & Tool Life in Taylors Theory (L) we can find Taylor's Tool Life Exponent given Cutting Velocity and Tool Life using the formula - Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory. This formula also uses Natural Logarithm (ln) function(s).

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

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

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

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

Other formulas in Taylor's Theory category

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

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

Variable Name