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Cutting Velocity for Minimum Production Time Formula

GoCutting Velocity for Minimum Production Time given Tool Changing Cost Formula

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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. Check FAQs

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

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

Cutting Velocity for Minimum Production Time Example

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Here is how the Cutting Velocity for Minimum Production Time equation looks like with Values.

Here is how the Cutting Velocity for Minimum Production Time equation looks like with Units.

Here is how the Cutting Velocity for Minimum Production Time equation looks like.

5.977 = 0.083 \cdot ({(0.5 \cdot \frac{103716.2}{(1 - 0.5) \cdot 20})}^{0.5})

5.977m/s = 0.083m/s \cdot ({(0.5 \cdot \frac{103716.2s}{(1 - 0.5) \cdot 20s})}^{0.5})

5.977 = 0.083 \cdot ({(0.5 \cdot \frac{103716.2}{(1 - 0.5) \cdot 20})}^{0.5})

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Cutting Velocity for Minimum Production Time Solution

Follow our step by step solution on how to calculate Cutting Velocity for Minimum Production Time?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V p = 0.083m/s \cdot ({(0.5 \cdot \frac{103716.2s}{(1 - 0.5) \cdot 20s})}^{0.5})

Next Step Prepare to Evaluate

∴

V p = 0.083 \cdot ({(0.5 \cdot \frac{103716.2}{(1 - 0.5) \cdot 20})}^{0.5})

Next Step Evaluate

∴

V p = 5.97704317284056m/s

LAST Step Rounding Answer

∴

V p = 5.977m/s

Cutting Velocity for Minimum Production Time Formula Elements

Variables

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

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

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 to find Cutting Velocity For Minimum Production Time

Go Cutting Velocity for Minimum Production Time given Tool Changing Cost

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

Other formulas in Minimum Production Time category

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 Reference Tool Life given Min Production time

L ref = {(\frac{V p}{V ref})}^{\frac{1}{n mpt}} \cdot (1 - n mpt) \cdot \frac{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 Cutting Velocity for Minimum Production Time?

Cutting Velocity for Minimum Production Time evaluator uses Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((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 Cutting Velocity For Minimum Production Time, The Cutting Velocity for Minimum Production Time is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum. Cutting Velocity For Minimum Production Time is denoted by V_p symbol.

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

FAQs on Cutting Velocity for Minimum Production Time

What is the formula to find Cutting Velocity for Minimum Production Time?

The formula of Cutting Velocity for Minimum Production Time is expressed as Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((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- 5.977043 = 0.083*((0.5*103716.2/((1-0.5)*20))^0.5).

How to calculate Cutting Velocity for Minimum Production Time?

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

What are the other ways to Calculate Cutting Velocity For Minimum Production Time?

Here are the different ways to Calculate Cutting Velocity For Minimum Production Time-

Cutting Velocity For Minimum Production Time=Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool))^Taylor's Exponent For Minimum Production Time)

Can the Cutting Velocity for Minimum Production Time be negative?

No, the Cutting Velocity for Minimum Production Time, measured in Speed cannot be negative.

Which unit is used to measure Cutting Velocity for Minimum Production Time?

Cutting Velocity for Minimum Production Time is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cutting Velocity for Minimum Production Time can be measured.

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Cutting Velocity for Minimum Production Time Formula

​GoCutting Velocity for Minimum Production Time given Tool Changing Cost Formula

Cutting Velocity for Minimum Production Time Example

Cutting Velocity for Minimum Production Time Solution

Cutting Velocity for Minimum Production Time Formula Elements

Other Formulas to find Cutting Velocity For Minimum Production Time

Other formulas in Minimum Production Time category

How to Evaluate Cutting Velocity for Minimum Production Time?

FAQs on Cutting Velocity for Minimum Production Time

Variable Name

GoCutting Velocity for Minimum Production Time given Tool Changing Cost Formula