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Cutting Velocity for Minimum Production Time given Tool Changing Cost Formula

GoCutting Velocity for Minimum Production Time 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 M min \cdot \frac{L ref}{(1 - n mpt) \cdot C 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?M_min - Machining And Operating Rate in Minimum Time?L_ref - Reference Tool Life?C_ct - Cost of Changing Each Tool?

Cutting Velocity for Minimum Production Time given Tool Changing Cost Example

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

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

Here is how the Cutting Velocity for Minimum Production Time given Tool Changing Cost equation looks like.

5.977 = 0.083 \cdot ({(0.5 \cdot 0.35 \cdot \frac{103716.2}{(1 - 0.5) \cdot 7})}^{0.5})

5.977m/s = 0.083m/s \cdot ({(0.5 \cdot 0.35 \cdot \frac{103716.2s}{(1 - 0.5) \cdot 7})}^{0.5})

5.977 = 0.083 \cdot ({(0.5 \cdot 0.35 \cdot \frac{103716.2}{(1 - 0.5) \cdot 7})}^{0.5})

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Cutting Velocity for Minimum Production Time given Tool Changing Cost Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V p = 0.083m/s \cdot ({(0.5 \cdot 0.35 \cdot \frac{103716.2s}{(1 - 0.5) \cdot 7})}^{0.5})

Next Step Prepare to Evaluate

∴

V p = 0.083 \cdot ({(0.5 \cdot 0.35 \cdot \frac{103716.2}{(1 - 0.5) \cdot 7})}^{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 given Tool Changing Cost 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

Machining And Operating Rate in Minimum Time

Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.

Symbol: M_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate in Minimum 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

Cost of Changing Each Tool

Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.

Symbol: C_ct

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of Changing Each Tool

Other Formulas to find Cutting Velocity For Minimum Production Time

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})

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 given Tool Changing Cost?

Cutting Velocity for Minimum Production Time given Tool Changing Cost evaluator uses 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) to evaluate the Cutting Velocity For Minimum Production Time, The Cutting Velocity for Minimum Production Time given Tool Changing Cost 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 given Tool Changing Cost using this online evaluator? To use this online evaluator for Cutting Velocity for Minimum Production Time given Tool Changing Cost, enter Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref) & Cost of Changing Each Tool (C_ct) and hit the calculate button.

FAQs on Cutting Velocity for Minimum Production Time given Tool Changing Cost

What is the formula to find Cutting Velocity for Minimum Production Time given Tool Changing Cost?

The formula of Cutting Velocity for Minimum Production Time given Tool Changing Cost is expressed as 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). Here is an example- 0.25432 = 0.083*((0.5*0.35*103716.2/((1-0.5)*7))^0.5).

How to calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost?

With Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref) & Cost of Changing Each Tool (C_ct) we can find Cutting Velocity for Minimum Production Time given Tool Changing Cost using the formula - 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).

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*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)

Can the Cutting Velocity for Minimum Production Time given Tool Changing Cost be negative?

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

Which unit is used to measure Cutting Velocity for Minimum Production Time given Tool Changing Cost?

Cutting Velocity for Minimum Production Time given Tool Changing Cost 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 given Tool Changing Cost can be measured.

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Cutting Velocity for Minimum Production Time given Tool Changing Cost Formula

​GoCutting Velocity for Minimum Production Time Formula

Cutting Velocity for Minimum Production Time given Tool Changing Cost Example

Cutting Velocity for Minimum Production Time given Tool Changing Cost Solution

Cutting Velocity for Minimum Production Time given Tool Changing Cost 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 given Tool Changing Cost?

FAQs on Cutting Velocity for Minimum Production Time given Tool Changing Cost

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GoCutting Velocity for Minimum Production Time Formula