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Nonproductive Time given Production Cost per Component Formula

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Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component. Check FAQs

t s = \frac{C p - ((M \cdot \frac{K}{V}) + (K \cdot ({(\frac{V}{V ref})}^{\frac{1}{n}}) \cdot \frac{M \cdot t c + C t}{L ref \cdot V}))}{M}

t_s - Setup Time?C_p - Production Cost of Each Component?M - Machining And Operating Rate?K - Constant For Machining Condition?V - Cutting Velocity?V_ref - Reference Cutting Velocity?n - Taylors Tool Life Exponent?t_c - Time to Change One Tool?C_t - Cost of A Tool?L_ref - Reference Tool Life?

Nonproductive Time given Production Cost per Component Example

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Here is how the Nonproductive Time given Production Cost per Component equation looks like with Values.

Here is how the Nonproductive Time given Production Cost per Component equation looks like with Units.

Here is how the Nonproductive Time given Production Cost per Component equation looks like.

20 = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681}{0.28}) + (203.0681 \cdot ({(\frac{0.28}{0.76})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 5 + 100}{2 \cdot 0.28}))}{0.0028}

20min = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681m}{0.28m/s}) + (203.0681m \cdot ({(\frac{0.28m/s}{0.76m/s})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 5min + 100}{2min \cdot 0.28m/s}))}{0.0028}

20 = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681}{0.28}) + (203.0681 \cdot ({(\frac{0.28}{0.76})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 5 + 100}{2 \cdot 0.28}))}{0.0028}

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Nonproductive Time given Production Cost per Component Solution

Follow our step by step solution on how to calculate Nonproductive Time given Production Cost per Component?

FIRST Step Consider the formula

t s = \frac{C p - ((M \cdot \frac{K}{V}) + (K \cdot ({(\frac{V}{V ref})}^{\frac{1}{n}}) \cdot \frac{M \cdot t c + C t}{L ref \cdot V}))}{M}

Next Step Substitute values of Variables

∴

t s = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681m}{0.28m/s}) + (203.0681m \cdot ({(\frac{0.28m/s}{0.76m/s})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 5min + 100}{2min \cdot 0.28m/s}))}{0.0028}

Next Step Convert Units

∴

t s = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681m}{0.28m/s}) + (203.0681m \cdot ({(\frac{0.28m/s}{0.76m/s})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 300s + 100}{120s \cdot 0.28m/s}))}{0.0028}

Next Step Prepare to Evaluate

∴

t s = \frac{5.6553 - ((0.0028 \cdot \frac{203.0681}{0.28}) + (203.0681 \cdot ({(\frac{0.28}{0.76})}^{\frac{1}{0.125}}) \cdot \frac{0.0028 \cdot 300 + 100}{120 \cdot 0.28}))}{0.0028}

Next Step Evaluate

∴

t s = 1199.99980554191s

Next Step Convert to Output's Unit

∴

t s = 19.9999967590318min

LAST Step Rounding Answer

∴

t s = 20min

Nonproductive Time given Production Cost per Component Formula Elements

Variables

Setup Time

Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.

Symbol: t_s

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Setup Time

Production Cost of Each Component

Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Production Cost of Each Component

Machining And Operating Rate

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

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

Constant For Machining Condition

Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in Metre.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Constant For Machining Condition

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

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

Taylors Tool Life Exponent

Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylors Tool Life Exponent

Time to Change One Tool

Time to Change One Tool is the measure of time it takes to change one tool during machining.

Symbol: t_c

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Cost of A Tool

The Cost of A Tool is simply the cost of one tool being used for machining.

Symbol: C_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of A 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: min

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Other formulas in Production Cost per Component category

Go Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost

C p = M \cdot (NPT + \frac{K}{V}) + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (C ct + C t) \cdot (V^{\frac{1 - n}{n}})

Go Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation

C p = M \cdot (NPT + \frac{K}{V}) + (\frac{K}{L ref \cdot {V ref}^{\frac{1}{n}}}) \cdot (M \cdot t c + C t) \cdot (V^{\frac{1 - n}{n}})

How to Evaluate Nonproductive Time given Production Cost per Component?

Nonproductive Time given Production Cost per Component evaluator uses Setup Time = (Production Cost of Each Component-((Machining And Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylors Tool Life Exponent))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/(Reference Tool Life*Cutting Velocity))))/Machining And Operating Rate to evaluate the Setup Time, The Nonproductive Time given Production Cost per Component is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the average cost per piece. Setup Time is denoted by t_s symbol.

How to evaluate Nonproductive Time given Production Cost per Component using this online evaluator? To use this online evaluator for Nonproductive Time given Production Cost per Component, enter Production Cost of Each Component (C_p), Machining And Operating Rate (M), Constant For Machining Condition (K), Cutting Velocity (V), Reference Cutting Velocity (V_ref), Taylors Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Reference Tool Life (L_ref) and hit the calculate button.

FAQs on Nonproductive Time given Production Cost per Component

What is the formula to find Nonproductive Time given Production Cost per Component?

The formula of Nonproductive Time given Production Cost per Component is expressed as Setup Time = (Production Cost of Each Component-((Machining And Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylors Tool Life Exponent))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/(Reference Tool Life*Cutting Velocity))))/Machining And Operating Rate. Here is an example- 0.333333 = (5.655323-((0.00283*203.0681/0.28)+(203.0681*((0.28/0.76)^(1/0.125))*(0.00283*300+100)/(120*0.28))))/0.00283.

How to calculate Nonproductive Time given Production Cost per Component?

With Production Cost of Each Component (C_p), Machining And Operating Rate (M), Constant For Machining Condition (K), Cutting Velocity (V), Reference Cutting Velocity (V_ref), Taylors Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Reference Tool Life (L_ref) we can find Nonproductive Time given Production Cost per Component using the formula - Setup Time = (Production Cost of Each Component-((Machining And Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylors Tool Life Exponent))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/(Reference Tool Life*Cutting Velocity))))/Machining And Operating Rate.

Can the Nonproductive Time given Production Cost per Component be negative?

No, the Nonproductive Time given Production Cost per Component, measured in Time cannot be negative.

Which unit is used to measure Nonproductive Time given Production Cost per Component?

Nonproductive Time given Production Cost per Component is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Nonproductive Time given Production Cost per Component can be measured.

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Nonproductive Time given Production Cost per Component Formula

Nonproductive Time given Production Cost per Component Example

Nonproductive Time given Production Cost per Component Solution

Nonproductive Time given Production Cost per Component Formula Elements

Other formulas in Production Cost per Component category

How to Evaluate Nonproductive Time given Production Cost per Component?

FAQs on Nonproductive Time given Production Cost per Component

Variable Name