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Non-Productive Time per component given Minimum Production Cost 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}{R} - (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)})

t_s - Setup Time?C_p - Production Cost of Each Component?R - Machining and Operating Rate?K - Constant For Machining Condition?T - Tool Life?L - Reference Tool Life?n - Taylor's Tool Life Exponent?V - Reference Cutting Velocity?

Non-Productive Time per component given Minimum Production Cost Example

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Here is how the Non-Productive Time per component given Minimum Production Cost equation looks like with Values.

Here is how the Non-Productive Time per component given Minimum Production Cost equation looks like with Units.

Here is how the Non-Productive Time per component given Minimum Production Cost equation looks like.

300 = \frac{5000}{7} - (168.9469 \cdot \frac{{(\frac{3000}{60})}^{0.125}}{0.76 \cdot (1 - 0.125)})

300s = \frac{5000}{7} - (168.9469m \cdot \frac{{(\frac{3000s}{60s})}^{0.125}}{0.76m/s \cdot (1 - 0.125)})

300 = \frac{5000}{7} - (168.9469 \cdot \frac{{(\frac{3000}{60})}^{0.125}}{0.76 \cdot (1 - 0.125)})

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Non-Productive Time per component given Minimum Production Cost Solution

Follow our step by step solution on how to calculate Non-Productive Time per component given Minimum Production Cost?

FIRST Step Consider the formula

t s = \frac{C p}{R} - (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)})

Next Step Substitute values of Variables

∴

t s = \frac{5000}{7} - (168.9469m \cdot \frac{{(\frac{3000s}{60s})}^{0.125}}{0.76m/s \cdot (1 - 0.125)})

Next Step Prepare to Evaluate

∴

t s = \frac{5000}{7} - (168.9469 \cdot \frac{{(\frac{3000}{60})}^{0.125}}{0.76 \cdot (1 - 0.125)})

Next Step Evaluate

∴

t s = 300.000000000001s

LAST Step Rounding Answer

∴

t s = 300s

Non-Productive Time per component given Minimum Production Cost 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: s

Note: Value should be greater than 0.

Formulas to find Setup Time

Production Cost of Each Component

Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.

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: R

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 "Meter".

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Constant For Machining Condition

Tool Life

Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Tool Life

Reference Tool Life

Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.

Symbol: L

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Taylor's Tool Life Exponent

Taylor's 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 less than 1.

Formulas to find Taylor's Tool Life Exponent

Reference Cutting Velocity

Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Other formulas in Minimum Machining Cost category

Go Minimum Production Cost per Component

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

Go Machining and Operating Rate given Minimum Production Cost

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

How to Evaluate Non-Productive Time per component given Minimum Production Cost?

Non-Productive Time per component given Minimum Production Cost evaluator uses Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))) to evaluate the Setup Time, The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum. Setup Time is denoted by t_s symbol.

How to evaluate Non-Productive Time per component given Minimum Production Cost using this online evaluator? To use this online evaluator for Non-Productive Time per component given Minimum Production Cost, enter Production Cost of Each Component (C_p), Machining and Operating Rate (R), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V) and hit the calculate button.

FAQs on Non-Productive Time per component given Minimum Production Cost

What is the formula to find Non-Productive Time per component given Minimum Production Cost?

The formula of Non-Productive Time per component given Minimum Production Cost is expressed as Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))). Here is an example- 300 = 5000/7-(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125))).

How to calculate Non-Productive Time per component given Minimum Production Cost?

With Production Cost of Each Component (C_p), Machining and Operating Rate (R), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V) we can find Non-Productive Time per component given Minimum Production Cost using the formula - Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))).

Can the Non-Productive Time per component given Minimum Production Cost be negative?

No, the Non-Productive Time per component given Minimum Production Cost, measured in Time cannot be negative.

Which unit is used to measure Non-Productive Time per component given Minimum Production Cost?

Non-Productive Time per component given Minimum Production Cost is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Non-Productive Time per component given Minimum Production Cost can be measured.

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Non-Productive Time per component given Minimum Production Cost Formula

Non-Productive Time per component given Minimum Production Cost Example

Non-Productive Time per component given Minimum Production Cost Solution

Non-Productive Time per component given Minimum Production Cost Formula Elements

Other formulas in Minimum Machining Cost category

How to Evaluate Non-Productive Time per component given Minimum Production Cost?

FAQs on Non-Productive Time per component given Minimum Production Cost

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