FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Constant for Machining Operation given Minimum Production Cost Formula

Fx Copy

LaTeX Copy

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". Check FAQs

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

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

Constant for Machining Operation given Minimum Production Cost Example

With values

With units

Only example

Here is how the Constant for Machining Operation given Minimum Production Cost equation looks like with Values.

Here is how the Constant for Machining Operation given Minimum Production Cost equation looks like with Units.

Here is how the Constant for Machining Operation given Minimum Production Cost equation looks like.

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Constant for Machining Operation given Minimum Production Cost

Constant for Machining Operation given Minimum Production Cost Solution

Follow our step by step solution on how to calculate Constant for Machining Operation given Minimum Production Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

K = 168.946948749017m

LAST Step Rounding Answer

∴

K = 168.9469m

Constant for Machining Operation given Minimum Production Cost Formula Elements

Variables

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

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

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

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

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

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 Constant for Machining Operation given Minimum Production Cost?

Constant for Machining Operation given Minimum Production Cost evaluator uses Constant For Machining Condition = (Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent) to evaluate the Constant For Machining Condition, The Constant for Machining Operation given Minimum Production Cost is a method to determine the actual length for which the cutting tool is engaged with the workpiece when the production cost of a component is minimum. Constant For Machining Condition is denoted by K symbol.

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

FAQs on Constant for Machining Operation given Minimum Production Cost

What is the formula to find Constant for Machining Operation given Minimum Production Cost?

The formula of Constant for Machining Operation given Minimum Production Cost is expressed as Constant For Machining Condition = (Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent). Here is an example- 168.9469 = (5000/7-300)*0.76*(1-0.125)/((3000/60)^0.125).

How to calculate Constant for Machining Operation given Minimum Production Cost?

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

Can the Constant for Machining Operation given Minimum Production Cost be negative?

No, the Constant for Machining Operation given Minimum Production Cost, measured in Length cannot be negative.

Which unit is used to measure Constant for Machining Operation given Minimum Production Cost?

Constant for Machining Operation given Minimum Production Cost is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Constant for Machining Operation given Minimum Production Cost can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Constant for Machining Operation given Minimum Production Cost Formula

Constant for Machining Operation given Minimum Production Cost Example

Constant for Machining Operation given Minimum Production Cost Solution

Constant for Machining Operation given Minimum Production Cost Formula Elements

Other formulas in Minimum Machining Cost category

How to Evaluate Constant for Machining Operation given Minimum Production Cost?

FAQs on Constant for Machining Operation given Minimum Production Cost

Variable Name