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Machining and Operating Rate given Minimum Production Cost Formula

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

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

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

Machining and Operating Rate given Minimum Production Cost Example

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Here is how the Machining and Operating Rate given Minimum Production Cost equation looks like with Values.

Here is how the Machining and Operating Rate given Minimum Production Cost equation looks like with Units.

Here is how the Machining and Operating Rate given Minimum Production Cost equation looks like.

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

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

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

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Machining and Operating Rate given Minimum Production Cost Solution

Follow our step by step solution on how to calculate Machining and Operating Rate given Minimum Production Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R = 7.00000000000001

LAST Step Rounding Answer

∴

R = 7

Machining and Operating Rate given Minimum Production Cost Formula Elements

Variables

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

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

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

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 Non-Productive Time per component given Minimum Production Cost

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

How to Evaluate Machining and Operating Rate given Minimum Production Cost?

Machining and Operating Rate given Minimum Production Cost evaluator uses Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(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 Machining and Operating Rate, The Machining and Operating Rate given Minimum Production Cost is a method to determine the maximum amount that can be spent on Machining and Operating when the resources to be used are strictly bounded. Machining and Operating Rate is denoted by R symbol.

How to evaluate Machining and Operating Rate given Minimum Production Cost using this online evaluator? To use this online evaluator for Machining and Operating Rate given Minimum Production Cost, enter Production Cost of Each Component (C_p), Setup Time (t_s), 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 Machining and Operating Rate given Minimum Production Cost

What is the formula to find Machining and Operating Rate given Minimum Production Cost?

The formula of Machining and Operating Rate given Minimum Production Cost is expressed as Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(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- 7.000001 = 5000/(300+(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125)))).

How to calculate Machining and Operating Rate given Minimum Production Cost?

With Production Cost of Each Component (C_p), Setup Time (t_s), 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 Machining and Operating Rate given Minimum Production Cost using the formula - Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))).

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Machining and Operating Rate given Minimum Production Cost Formula

Machining and Operating Rate given Minimum Production Cost Example

Machining and Operating Rate given Minimum Production Cost Solution

Machining and Operating Rate given Minimum Production Cost Formula Elements

Other formulas in Minimum Machining Cost category

How to Evaluate Machining and Operating Rate given Minimum Production Cost?

FAQs on Machining and Operating Rate given Minimum Production Cost

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