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Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Formula

GoMachining and Operating Rate given Tool Changing Cost and Tool Life Formula

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

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

M_min - Machining And Operating Rate in Minimum Time?V_p - Cutting Velocity For Minimum Production Time?V_ref - Reference Cutting Velocity?n_mpt - Taylor's Exponent For Minimum Production Time?C_ct - Cost of Changing Each Tool?L_ref - Reference Tool Life?

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Example

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Here is how the Machining and Operating Rate given Tool Changing Cost and Cutting Velocity equation looks like with Values.

Here is how the Machining and Operating Rate given Tool Changing Cost and Cutting Velocity equation looks like with Units.

Here is how the Machining and Operating Rate given Tool Changing Cost and Cutting Velocity equation looks like.

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

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

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

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Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Solution

Follow our step by step solution on how to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

M min = 0.349999979757818

LAST Step Rounding Answer

∴

M min = 0.35

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Formula Elements

Variables

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

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

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

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

Other Formulas to find Machining And Operating Rate in Minimum Time

Go Machining and Operating Rate given Tool Changing Cost and Tool Life

M min = C ct \cdot \frac{1 - n mpt}{n mpt \cdot L}

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 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}}}

How to Evaluate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity evaluator uses Machining And Operating Rate in Minimum Time = ((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)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life) to evaluate the Machining And Operating Rate in Minimum Time, The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool. Machining And Operating Rate in Minimum Time is denoted by M_min symbol.

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

FAQs on Machining and Operating Rate given Tool Changing Cost and Cutting Velocity

What is the formula to find Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

The formula of Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is expressed as Machining And Operating Rate in Minimum Time = ((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)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life). Here is an example- 193.3213 = ((5.977043/0.083)^(1/0.5))*(1-0.5)*7/(0.5*103716.2).

How to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

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

What are the other ways to Calculate Machining And Operating Rate in Minimum Time?

Here are the different ways to Calculate Machining And Operating Rate in Minimum Time-

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

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Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Formula

​GoMachining and Operating Rate given Tool Changing Cost and Tool Life Formula

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Example

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Solution

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Formula Elements

Other Formulas to find Machining And Operating Rate in Minimum Time

Other formulas in Minimum Production Time category

How to Evaluate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

FAQs on Machining and Operating Rate given Tool Changing Cost and Cutting Velocity

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GoMachining and Operating Rate given Tool Changing Cost and Tool Life Formula