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Cost to change One Tool given min production time Formula

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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. Check FAQs

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

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

Cost to change One Tool given min production time Example

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Here is how the Cost to change One Tool given min production time equation looks like with Values.

Here is how the Cost to change One Tool given min production time equation looks like with Units.

Here is how the Cost to change One Tool given min production time equation looks like.

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

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

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

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Cost to change One Tool given min production time Solution

Follow our step by step solution on how to calculate Cost to change One Tool given min production time?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

C ct = 7.00000040484365

LAST Step Rounding Answer

∴

C ct = 7

Cost to change One Tool given min production time Formula Elements

Variables

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

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

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

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

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 Cost to change One Tool given min production time?

Cost to change One Tool given min production time evaluator uses Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)) to evaluate the Cost of Changing Each Tool, Cost to change One Tool given min production time is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Time. Cost of Changing Each Tool is denoted by C_ct symbol.

How to evaluate Cost to change One Tool given min production time using this online evaluator? To use this online evaluator for Cost to change One Tool given min production time, enter Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Cutting Velocity For Minimum Production Time (V_p) & Reference Cutting Velocity (V_ref) and hit the calculate button.

FAQs on Cost to change One Tool given min production time

What is the formula to find Cost to change One Tool given min production time?

The formula of Cost to change One Tool given min production time is expressed as Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)). Here is an example- 7 = 0.35*(103716.2*0.5/(1-0.5))/((5.977043/0.083)^(1/0.5)).

How to calculate Cost to change One Tool given min production time?

With Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Cutting Velocity For Minimum Production Time (V_p) & Reference Cutting Velocity (V_ref) we can find Cost to change One Tool given min production time using the formula - Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)).

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Cost to change One Tool given min production time Formula

Cost to change One Tool given min production time Example

Cost to change One Tool given min production time Solution

Cost to change One Tool given min production time Formula Elements

Other formulas in Minimum Production Time category

How to Evaluate Cost to change One Tool given min production time?

FAQs on Cost to change One Tool given min production time

Variable Name