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Reference Tool Life given Production Batch and Machining Conditions Formula

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

L ref = t b \cdot N b \cdot \frac{{(\frac{V}{V ref})}^{\frac{1}{n}}}{N t}

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

Reference Tool Life given Production Batch and Machining Conditions Example

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Here is how the Reference Tool Life given Production Batch and Machining Conditions equation looks like with Values.

Here is how the Reference Tool Life given Production Batch and Machining Conditions equation looks like with Units.

Here is how the Reference Tool Life given Production Batch and Machining Conditions equation looks like.

103716.2037 = 30 \cdot 2 \cdot \frac{{(\frac{9.167}{0.083})}^{\frac{1}{0.55}}}{3}

103716.2037s = 30s \cdot 2 \cdot \frac{{(\frac{9.167m/s}{0.083m/s})}^{\frac{1}{0.55}}}{3}

103716.2037 = 30 \cdot 2 \cdot \frac{{(\frac{9.167}{0.083})}^{\frac{1}{0.55}}}{3}

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Reference Tool Life given Production Batch and Machining Conditions Solution

Follow our step by step solution on how to calculate Reference Tool Life given Production Batch and Machining Conditions?

FIRST Step Consider the formula

L ref = t b \cdot N b \cdot \frac{{(\frac{V}{V ref})}^{\frac{1}{n}}}{N t}

Next Step Substitute values of Variables

∴

L ref = 30s \cdot 2 \cdot \frac{{(\frac{9.167m/s}{0.083m/s})}^{\frac{1}{0.55}}}{3}

Next Step Prepare to Evaluate

∴

L ref = 30 \cdot 2 \cdot \frac{{(\frac{9.167}{0.083})}^{\frac{1}{0.55}}}{3}

Next Step Evaluate

∴

L ref = 103716.203693242s

LAST Step Rounding Answer

∴

L ref = 103716.2037s

Reference Tool Life given Production Batch and Machining Conditions Formula Elements

Variables

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

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

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

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

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

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

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

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}

How to Evaluate Reference Tool Life given Production Batch and Machining Conditions?

Reference Tool Life given Production Batch and Machining Conditions evaluator uses Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used to evaluate the Reference Tool Life, The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components. Reference Tool Life is denoted by L_ref symbol.

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

FAQs on Reference Tool Life given Production Batch and Machining Conditions

What is the formula to find Reference Tool Life given Production Batch and Machining Conditions?

The formula of Reference Tool Life given Production Batch and Machining Conditions is expressed as Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used. Here is an example- 103716.2 = 30*2*((9.167/0.083)^(1/0.55))/3.

How to calculate Reference Tool Life given Production Batch and Machining Conditions?

With Machining Time For Tool Life Production (t_b), Batch Size (N_b), Cutting Velocity (V), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n) & Number of Tools Used (N_t) we can find Reference Tool Life given Production Batch and Machining Conditions using the formula - Reference Tool Life = Machining Time For Tool Life Production*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used.

Can the Reference Tool Life given Production Batch and Machining Conditions be negative?

No, the Reference Tool Life given Production Batch and Machining Conditions, measured in Time cannot be negative.

Which unit is used to measure Reference Tool Life given Production Batch and Machining Conditions?

Reference Tool Life given Production Batch and Machining Conditions is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Reference Tool Life given Production Batch and Machining Conditions can be measured.

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Reference Tool Life given Production Batch and Machining Conditions Formula

Reference Tool Life given Production Batch and Machining Conditions Example

Reference Tool Life given Production Batch and Machining Conditions Solution

Reference Tool Life given Production Batch and Machining Conditions Formula Elements

Other formulas in Batch Processing Time category

How to Evaluate Reference Tool Life given Production Batch and Machining Conditions?

FAQs on Reference Tool Life given Production Batch and Machining Conditions

Variable Name