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Constant for Machining Operation given Production Cost per Component Formula

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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. Check FAQs

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

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

Constant for Machining Operation given Production Cost per Component Example

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

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

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

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

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

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

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Constant for Machining Operation given Production Cost per Component Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

K = \frac{5.6553 - 0.0028 \cdot 1200s}{0.0028 \cdot \frac{1}{0.28m/s} + (\frac{1}{120s \cdot {0.76m/s}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 300s + 100) \cdot ({0.28m/s}^{\frac{1 - 0.125}{0.125}})}

Next Step Prepare to Evaluate

∴

K = \frac{5.6553 - 0.0028 \cdot 1200}{0.0028 \cdot \frac{1}{0.28} + (\frac{1}{120 \cdot {0.76}^{\frac{1}{0.125}}}) \cdot (0.0028 \cdot 300 + 100) \cdot ({0.28}^{\frac{1 - 0.125}{0.125}})}

Next Step Evaluate

∴

K = 203.068050537538m

LAST Step Rounding Answer

∴

K = 203.0681m

Constant for Machining Operation given Production Cost per Component 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 Metre.

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 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

Non-Productive Time

Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.

Symbol: NPT

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Non-Productive Time

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 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

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

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 Constant for Machining Operation given Production Cost per Component?

Constant for Machining Operation given Production Cost per Component evaluator uses Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))) to evaluate the Constant For Machining Condition, The Constant for Machining Operation given Production Cost per Component is a method to determine the actual length for which the cutting tool is engaged with the workpiece in terms of cost it took to produce one component. Constant For Machining Condition is denoted by K symbol.

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

FAQs on Constant for Machining Operation given Production Cost per Component

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

The formula of Constant for Machining Operation given Production Cost per Component is expressed as Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))). Here is an example- 203.0681 = (5.655323-0.00283*1200)/(0.00283*1/0.28+(1/(120*0.76^(1/0.125)))*(0.00283*300+100)*(0.28^((1-0.125)/0.125))).

How to calculate Constant for Machining Operation given Production Cost per Component?

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

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

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

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

Constant for Machining Operation given Production Cost per Component 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 Production Cost per Component can be measured.

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Constant for Machining Operation given Production Cost per Component Formula

Constant for Machining Operation given Production Cost per Component Example

Constant for Machining Operation given Production Cost per Component Solution

Constant for Machining Operation given Production Cost per Component Formula Elements

Other formulas in Production Cost per Component category

How to Evaluate Constant for Machining Operation given Production Cost per Component?

FAQs on Constant for Machining Operation given Production Cost per Component

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