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Reference Cutting Velocity given Minimum Production Cost Formula

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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. Check FAQs

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

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

Reference Cutting Velocity given Minimum Production Cost Example

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Here is how the Reference Cutting Velocity given Minimum Production Cost equation looks like with Values.

Here is how the Reference Cutting Velocity given Minimum Production Cost equation looks like with Units.

Here is how the Reference Cutting Velocity given Minimum Production Cost equation looks like.

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

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

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

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Reference Cutting Velocity given Minimum Production Cost Solution

Follow our step by step solution on how to calculate Reference Cutting Velocity given Minimum Production Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 0.759999999999999m/s

LAST Step Rounding Answer

∴

V = 0.76m/s

Reference Cutting Velocity given Minimum Production Cost Formula Elements

Variables

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

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

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

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

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 Reference Cutting Velocity given Minimum Production Cost?

Reference Cutting Velocity given Minimum Production Cost evaluator uses Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time)) to evaluate the Reference Cutting Velocity, The Reference Cutting Velocity given Minimum Production Cost is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Cost is minimum. Reference Cutting Velocity is denoted by V symbol.

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

FAQs on Reference Cutting Velocity given Minimum Production Cost

What is the formula to find Reference Cutting Velocity given Minimum Production Cost?

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

How to calculate Reference Cutting Velocity given Minimum Production Cost?

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

Can the Reference Cutting Velocity given Minimum Production Cost be negative?

No, the Reference Cutting Velocity given Minimum Production Cost, measured in Speed cannot be negative.

Which unit is used to measure Reference Cutting Velocity given Minimum Production Cost?

Reference Cutting Velocity given Minimum Production Cost is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Reference Cutting Velocity given Minimum Production Cost can be measured.

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Reference Cutting Velocity given Minimum Production Cost Formula

Reference Cutting Velocity given Minimum Production Cost Example

Reference Cutting Velocity given Minimum Production Cost Solution

Reference Cutting Velocity given Minimum Production Cost Formula Elements

Other formulas in Minimum Machining Cost category

How to Evaluate Reference Cutting Velocity given Minimum Production Cost?

FAQs on Reference Cutting Velocity given Minimum Production Cost

Variable Name