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Reference Cutting Velocity using Minimum Production Time Formula

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

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

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

Reference Cutting Velocity using Minimum Production Time Example

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

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

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

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

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

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

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Reference Cutting Velocity using Minimum Production Time Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V ref = 0.0829999975998556m/s

LAST Step Rounding Answer

∴

V ref = 0.083m/s

Reference Cutting Velocity using Minimum Production Time Formula Elements

Variables

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

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

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 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 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 Reference Cutting Velocity using Minimum Production Time?

Reference Cutting Velocity using Minimum Production Time evaluator uses Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((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 Reference Cutting Velocity, The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum. Reference Cutting Velocity is denoted by V_ref symbol.

How to evaluate Reference Cutting Velocity using Minimum Production Time using this online evaluator? To use this online evaluator for Reference Cutting Velocity using Minimum Production Time, enter Cutting Velocity For Minimum Production Time (V_p), 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 Reference Cutting Velocity using Minimum Production Time

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

The formula of Reference Cutting Velocity using Minimum Production Time is expressed as Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((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- 0.003532 = 5.977043/((0.5*103716.2/((1-0.5)*20))^0.5).

How to calculate Reference Cutting Velocity using Minimum Production Time?

With Cutting Velocity For Minimum Production Time (V_p), 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 Reference Cutting Velocity using Minimum Production Time using the formula - Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((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 Reference Cutting Velocity using Minimum Production Time be negative?

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

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

Reference Cutting Velocity using 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 Reference Cutting Velocity using Minimum Production Time can be measured.

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Reference Cutting Velocity using Minimum Production Time Formula

Reference Cutting Velocity using Minimum Production Time Example

Reference Cutting Velocity using Minimum Production Time Solution

Reference Cutting Velocity using Minimum Production Time Formula Elements

Other formulas in Minimum Production Time category

How to Evaluate Reference Cutting Velocity using Minimum Production Time?

FAQs on Reference Cutting Velocity using Minimum Production Time

Variable Name