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Reference Tool Life given Min Production time 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 = {(\frac{V p}{V ref})}^{\frac{1}{n mpt}} \cdot (1 - n mpt) \cdot \frac{t ct}{n mpt}

L_ref - Reference Tool Life?V_p - Cutting Velocity For Minimum Production Time?V_ref - Reference Cutting Velocity?n_mpt - Taylor's Exponent For Minimum Production Time?t_ct - Time to Change Tool For Minimum Production Time?

Reference Tool Life given Min Production time Example

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Here is how the Reference Tool Life given Min Production time equation looks like with Values.

Here is how the Reference Tool Life given Min Production time equation looks like with Units.

Here is how the Reference Tool Life given Min Production time equation looks like.

103716.194 = {(\frac{5.977}{0.083})}^{\frac{1}{0.5}} \cdot (1 - 0.5) \cdot \frac{20}{0.5}

103716.194s = {(\frac{5.977m/s}{0.083m/s})}^{\frac{1}{0.5}} \cdot (1 - 0.5) \cdot \frac{20s}{0.5}

103716.194 = {(\frac{5.977}{0.083})}^{\frac{1}{0.5}} \cdot (1 - 0.5) \cdot \frac{20}{0.5}

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Reference Tool Life given Min Production time Solution

Follow our step by step solution on how to calculate Reference Tool Life given Min Production time?

FIRST Step Consider the formula

L ref = {(\frac{V p}{V ref})}^{\frac{1}{n mpt}} \cdot (1 - n mpt) \cdot \frac{t ct}{n mpt}

Next Step Substitute values of Variables

∴

L ref = {(\frac{5.977m/s}{0.083m/s})}^{\frac{1}{0.5}} \cdot (1 - 0.5) \cdot \frac{20s}{0.5}

Next Step Prepare to Evaluate

∴

L ref = {(\frac{5.977}{0.083})}^{\frac{1}{0.5}} \cdot (1 - 0.5) \cdot \frac{20}{0.5}

Next Step Evaluate

∴

L ref = 103716.194001594s

LAST Step Rounding Answer

∴

L ref = 103716.194s

Reference Tool Life given Min Production time 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

Cutting Velocity For Minimum Production Time

Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum.

Symbol: V_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity For Minimum Production Time

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 Exponent For Minimum Production Time

Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.

Symbol: n_mpt

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Exponent For Minimum Production Time

Time to Change Tool For Minimum Production Time

Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.

Symbol: t_ct

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time to Change Tool For Minimum Production Time

Other formulas in Minimum Production Time category

Go Cutting Velocity for Minimum Production Time

V p = V ref \cdot ({(n mpt \cdot \frac{L ref}{(1 - n mpt) \cdot t ct})}^{n mpt})

Go Reference Cutting Velocity using Minimum Production Time

V ref = \frac{V p}{{(n mpt \cdot \frac{L ref}{(1 - n mpt) \cdot t ct})}^{n mpt}}

Go Tool Changing Time for each Tool given min production time

t ct = \frac{L ref \cdot \frac{n mpt}{1 - n mpt}}{{(\frac{V p}{V ref})}^{\frac{1}{n mpt}}}

Go Cost to change One Tool given min production time

C ct = M min \cdot \frac{L ref \cdot \frac{n mpt}{1 - n mpt}}{{(\frac{V p}{V ref})}^{\frac{1}{n mpt}}}

How to Evaluate Reference Tool Life given Min Production time?

Reference Tool Life given Min Production time evaluator uses Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time to evaluate the Reference Tool Life, The Reference Tool Life given Min Production time is a method to determine the optimal Tool Sharpening period required in reference machining condition to manufacture a given batch of components such that The Total Production Time is minimum. Reference Tool Life is denoted by L_ref symbol.

How to evaluate Reference Tool Life given Min Production time using this online evaluator? To use this online evaluator for Reference Tool Life given Min Production time, enter Cutting Velocity For Minimum Production Time (V_p), Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt) & Time to Change Tool For Minimum Production Time (t_ct) and hit the calculate button.

FAQs on Reference Tool Life given Min Production time

What is the formula to find Reference Tool Life given Min Production time?

The formula of Reference Tool Life given Min Production time is expressed as Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time. Here is an example- 103716.2 = (5.977043/0.083)^(1/0.5)*(1-0.5)*20/0.5.

How to calculate Reference Tool Life given Min Production time?

With Cutting Velocity For Minimum Production Time (V_p), Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt) & Time to Change Tool For Minimum Production Time (t_ct) we can find Reference Tool Life given Min Production time using the formula - Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time.

Can the Reference Tool Life given Min Production time be negative?

No, the Reference Tool Life given Min Production time, measured in Time cannot be negative.

Which unit is used to measure Reference Tool Life given Min Production time?

Reference Tool Life given Min Production time 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 Min Production time can be measured.

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Reference Tool Life given Min Production time Formula

Reference Tool Life given Min Production time Example

Reference Tool Life given Min Production time Solution

Reference Tool Life given Min Production time Formula Elements

Other formulas in Minimum Production Time category

How to Evaluate Reference Tool Life given Min Production time?

FAQs on Reference Tool Life given Min Production time

Variable Name