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Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Formula

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

x = (- 1) \cdot \frac{\ln (\frac{V cut}{V rf})}{\ln (\frac{T v}{T rf})}

x - Taylors Tool Life Exponent in Cutting Velocity?V_cut - Cut Velocity?V_rf - Reference Cutting Velocity in Cutting Velocity?T_v - Tool Life in Cutting Velocity?T_rf - Reference Tool Life in Cutting Velocity?

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Example

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Here is how the Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions equation looks like with Values.

Here is how the Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions equation looks like with Units.

Here is how the Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions equation looks like.

0.8463 = (- 1) \cdot \frac{\ln (\frac{0.8317}{0.0241})}{\ln (\frac{4499.4}{295896.06})}

0.8463 = (- 1) \cdot \frac{\ln (\frac{0.8317m/s}{0.0241m/s})}{\ln (\frac{4499.4s}{295896.06s})}

0.8463 = (- 1) \cdot \frac{\ln (\frac{0.8317}{0.0241})}{\ln (\frac{4499.4}{295896.06})}

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Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Solution

Follow our step by step solution on how to calculate Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions?

FIRST Step Consider the formula

x = (- 1) \cdot \frac{\ln (\frac{V cut}{V rf})}{\ln (\frac{T v}{T rf})}

Next Step Substitute values of Variables

∴

x = (- 1) \cdot \frac{\ln (\frac{0.8317m/s}{0.0241m/s})}{\ln (\frac{4499.4s}{295896.06s})}

Next Step Prepare to Evaluate

∴

x = (- 1) \cdot \frac{\ln (\frac{0.8317}{0.0241})}{\ln (\frac{4499.4}{295896.06})}

Next Step Evaluate

∴

x = 0.846285147218067

LAST Step Rounding Answer

∴

x = 0.8463

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Formula Elements

Variables

Functions

Taylors Tool Life Exponent in Cutting Velocity

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

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylors Tool Life Exponent in Cutting Velocity

Cut Velocity

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

Symbol: V_cut

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cut Velocity

Reference Cutting Velocity in Cutting Velocity

Reference Cutting Velocity in Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition.

Symbol: V_rf

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity in Cutting Velocity

Tool Life in Cutting Velocity

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

Symbol: T_v

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Tool Life in Cutting Velocity

Reference Tool Life in Cutting Velocity

Reference Tool Life in Cutting Velocity is the tool life of the tool obtained in the reference to machining condition.

Symbol: T_rf

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life in Cutting Velocity

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 Cutting Velocity category

Go Resultant Cutting Velocity

V r = \frac{v c}{\cos ((η))}

Go Crater Depth for Sintered-Carbide Tools

K t = 0.06 + 0.3 \cdot f r

Go Feed for Sintered-Carbide Tools using Crater Depth

f r = \frac{K t - 0.06}{0.3}

Go Cutting Velocity using Taylor's Tool Life and Intercept

V' cut = \frac{X}{{T v}^{x}}

How to Evaluate Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions?

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions evaluator uses Taylors Tool Life Exponent in Cutting Velocity = (-1)*ln(Cut Velocity/Reference Cutting Velocity in Cutting Velocity)/ln(Tool Life in Cutting Velocity/Reference Tool Life in Cutting Velocity) to evaluate the Taylors Tool Life Exponent in Cutting Velocity, The Taylor's Exponent given Cutting Velocities, Tool Lives for two machining conditions is a method to determine the Taylor's Tool Life Exponent when comparison has been made between two Machining Conditions with the same tool. Taylors Tool Life Exponent in Cutting Velocity is denoted by x symbol.

How to evaluate Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions using this online evaluator? To use this online evaluator for Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions, enter Cut Velocity (V_cut), Reference Cutting Velocity in Cutting Velocity (V_rf), Tool Life in Cutting Velocity (T_v) & Reference Tool Life in Cutting Velocity (T_rf) and hit the calculate button.

FAQs on Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions

What is the formula to find Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions?

The formula of Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions is expressed as Taylors Tool Life Exponent in Cutting Velocity = (-1)*ln(Cut Velocity/Reference Cutting Velocity in Cutting Velocity)/ln(Tool Life in Cutting Velocity/Reference Tool Life in Cutting Velocity). Here is an example- 0.846285 = (-1)*ln(0.831666667/0.024066667)/ln(4499.4/295896.06).

How to calculate Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions?

With Cut Velocity (V_cut), Reference Cutting Velocity in Cutting Velocity (V_rf), Tool Life in Cutting Velocity (T_v) & Reference Tool Life in Cutting Velocity (T_rf) we can find Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions using the formula - Taylors Tool Life Exponent in Cutting Velocity = (-1)*ln(Cut Velocity/Reference Cutting Velocity in Cutting Velocity)/ln(Tool Life in Cutting Velocity/Reference Tool Life in Cutting Velocity). This formula also uses Natural Logarithm (ln) function(s).

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Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Formula

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Example

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Solution

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions Formula Elements

Other formulas in Cutting Velocity category

How to Evaluate Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions?

FAQs on Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions

Variable Name