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Taylor's Tool Life Exponent given Production Batch and Machining Conditions Formula

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Taylor's 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 (\frac{L ref \cdot N t}{N b \cdot t b})}

n - Taylor's Tool Life Exponent?V - Cutting Velocity?V_ref - Reference Cutting Velocity?L_ref - Reference Tool Life?N_t - Number of Tools Used?N_b - Batch Size?t_b - Machining Time For Tool Life Production?

Taylor's Tool Life Exponent given Production Batch and Machining Conditions Example

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Here is how the Taylor's Tool Life Exponent given Production Batch and Machining Conditions equation looks like with Values.

Here is how the Taylor's Tool Life Exponent given Production Batch and Machining Conditions equation looks like with Units.

Here is how the Taylor's Tool Life Exponent given Production Batch and Machining Conditions equation looks like.

0.55 = \frac{\ln (\frac{9.167}{0.083})}{\ln (\frac{103716.2 \cdot 3}{2 \cdot 30})}

0.55 = \frac{\ln (\frac{9.167m/s}{0.083m/s})}{\ln (\frac{103716.2s \cdot 3}{2 \cdot 30s})}

0.55 = \frac{\ln (\frac{9.167}{0.083})}{\ln (\frac{103716.2 \cdot 3}{2 \cdot 30})}

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Taylor's Tool Life Exponent given Production Batch and Machining Conditions Solution

Follow our step by step solution on how to calculate Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

FIRST Step Consider the formula

n = \frac{\ln (\frac{V}{V ref})}{\ln (\frac{L ref \cdot N t}{N b \cdot t b})}

Next Step Substitute values of Variables

∴

n = \frac{\ln (\frac{9.167m/s}{0.083m/s})}{\ln (\frac{103716.2s \cdot 3}{2 \cdot 30s})}

Next Step Prepare to Evaluate

∴

n = \frac{\ln (\frac{9.167}{0.083})}{\ln (\frac{103716.2 \cdot 3}{2 \cdot 30})}

Next Step Evaluate

∴

n = 0.550000002289659

LAST Step Rounding Answer

∴

n = 0.55

Taylor's Tool Life Exponent given Production Batch and Machining Conditions Formula Elements

Variables

Functions

Taylor's Tool Life Exponent

Taylor's 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 less than 1.

Formulas to find Taylor's Tool Life Exponent

Open Variable

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

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Open Variable

Reference Cutting Velocity

Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.

Symbol: V_ref

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Open Variable

Reference Tool Life

Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.

Symbol: L_ref

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Open Variable

Number of Tools Used

The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Tools Used

Open Variable

Batch Size

Batch Size is the count of similar kinds of products to be manufactured.

Symbol: N_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Batch Size

Open Variable

Machining Time For Tool Life Production

Machining Time For Tool Life Production is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

Symbol: t_b

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time For Tool Life Production

Open Variable

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)

Other formulas in Batch Processing Time category

Go Number of Tools Used given Tool Life

N t = t b \cdot \frac{N b}{L}

Go Machining Time of One Product using Tool Life

t b = N t \cdot \frac{L}{N b}

See More

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How to Evaluate Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

Taylor's Tool Life Exponent given Production Batch and Machining Conditions evaluator uses Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production)) to evaluate the Taylor's Tool Life Exponent, The Taylor's Tool Life Exponent given Production Batch and Machining Conditions is a method to determine the experimental exponent after practical data of tool machining have been tabulated when comparing with a reference condition to optimally manufacture a given batch of components. Taylor's Tool Life Exponent is denoted by n symbol.

How to evaluate Taylor's Tool Life Exponent given Production Batch and Machining Conditions using this online evaluator? To use this online evaluator for Taylor's Tool Life Exponent given Production Batch and Machining Conditions, enter Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (L_ref), Number of Tools Used (N_t), Batch Size (N_b) & Machining Time For Tool Life Production (t_b) and hit the calculate button.

FAQs on Taylor's Tool Life Exponent given Production Batch and Machining Conditions

What is the formula to find Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

The formula of Taylor's Tool Life Exponent given Production Batch and Machining Conditions is expressed as Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production)). Here is an example- 0.55 = ln(9.167/0.083)/ln((103716.2*3)/(2*30)).

How to calculate Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

With Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (L_ref), Number of Tools Used (N_t), Batch Size (N_b) & Machining Time For Tool Life Production (t_b) we can find Taylor's Tool Life Exponent given Production Batch and Machining Conditions using the formula - Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production)). This formula also uses Natural Logarithm (ln) function(s).

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