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Machining and Operating Rate using Minimum Production Cost and Minimum Production time Formula

GoMachining and Operating Rate using Minimum Production Cost Formula

GoMachining and Operating Rate given Tool Changing 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 for minimum production cost. Check FAQs

M = (\frac{C t}{t c}) \cdot (\frac{1 - n}{2 \cdot n - 1})

M - Machining And Operating Rate?C_t - Cost of A Tool?t_c - Time to Change One Tool?n - Taylor's Tool Life Exponent?

Machining and Operating Rate using Minimum Production Cost and Minimum Production time Example

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

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

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

4.9998 = (\frac{48}{0.9}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

4.9998 = (\frac{48}{0.9min}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

4.9998 = (\frac{48}{0.9}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

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Machining and Operating Rate using Minimum Production Cost and Minimum Production time Solution

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

FIRST Step Consider the formula

M = (\frac{C t}{t c}) \cdot (\frac{1 - n}{2 \cdot n - 1})

Next Step Substitute values of Variables

∴

M = (\frac{48}{0.9min}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

Next Step Convert Units

∴

M = (\frac{48}{54s}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

Next Step Prepare to Evaluate

∴

M = (\frac{48}{54}) \cdot (\frac{1 - 0.5408}{2 \cdot 0.5408 - 1})

Next Step Evaluate

∴

M = 4.99977678692951

LAST Step Rounding Answer

∴

M = 4.9998

Machining and Operating Rate using Minimum Production Cost and Minimum Production time 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 for minimum production cost.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

Cost of A Tool

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

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

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

Other Formulas to find Machining And Operating Rate

Go Machining and Operating Rate using Minimum Production Cost

M = (\frac{C t}{(L ref \cdot (\frac{n h}{n h - 1}) \cdot {(\frac{V ref}{V})}^{\frac{1}{n h}}) - t c})

Go Machining and Operating Rate given Tool Changing Cost

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

Other formulas in Minimum Production Cost category

Go Cutting Velocity for Minimum Production Cost

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

Go Reference Cutting Velocity given Cutting Velocity

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

Go Reference Tool Life given Cutting Velocity

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

Go Tool Changing Time for each Tool given Cutting Velocity

t c = \frac{(C t \cdot \frac{L ref}{{(\frac{V}{V ref})}^{\frac{1}{n}} \cdot \frac{1 - n}{n}}) - C t}{C t}

How to Evaluate Machining and Operating Rate using Minimum Production Cost and Minimum Production time?

Machining and Operating Rate using Minimum Production Cost and Minimum Production time evaluator uses Machining And Operating Rate = (Cost of A Tool/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)) to evaluate the Machining And Operating Rate, Machining and Operating Rate using Minimum Production Cost and Minimum Production time is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expenses it took to manufacture a complete batch of components, such that the Total Production Cost is Minimum. Machining And Operating Rate is denoted by M symbol.

How to evaluate Machining and Operating Rate using Minimum Production Cost and Minimum Production time using this online evaluator? To use this online evaluator for Machining and Operating Rate using Minimum Production Cost and Minimum Production time, enter Cost of A Tool (C_t), Time to Change One Tool (t_c) & Taylor's Tool Life Exponent (n) and hit the calculate button.

FAQs on Machining and Operating Rate using Minimum Production Cost and Minimum Production time

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

The formula of Machining and Operating Rate using Minimum Production Cost and Minimum Production time is expressed as Machining And Operating Rate = (Cost of A Tool/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)). Here is an example- 4.999777 = (48/54)*((1-0.540818)/(2*0.540818-1)).

How to calculate Machining and Operating Rate using Minimum Production Cost and Minimum Production time?

With Cost of A Tool (C_t), Time to Change One Tool (t_c) & Taylor's Tool Life Exponent (n) we can find Machining and Operating Rate using Minimum Production Cost and Minimum Production time using the formula - Machining And Operating Rate = (Cost of A Tool/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)).

What are the other ways to Calculate Machining And Operating Rate?

Here are the different ways to Calculate Machining And Operating Rate-

Machining And Operating Rate=(Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))
Machining And Operating Rate=((Cost of A Tool+Cost of Changing Each Tool)/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))

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Machining and Operating Rate using Minimum Production Cost and Minimum Production time Formula

​GoMachining and Operating Rate using Minimum Production Cost Formula

​GoMachining and Operating Rate given Tool Changing Cost Formula

Machining and Operating Rate using Minimum Production Cost and Minimum Production time Example

Machining and Operating Rate using Minimum Production Cost and Minimum Production time Solution

Machining and Operating Rate using Minimum Production Cost and Minimum Production time Formula Elements

Other Formulas to find Machining And Operating Rate

Other formulas in Minimum Production Cost category

How to Evaluate Machining and Operating Rate using Minimum Production Cost and Minimum Production time?

FAQs on Machining and Operating Rate using Minimum Production Cost and Minimum Production time

Variable Name

GoMachining and Operating Rate using Minimum Production Cost Formula

GoMachining and Operating Rate given Tool Changing Cost Formula