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Machining and Operating Rate given Tool Changing Cost Formula

GoMachining and Operating Rate using Minimum Production Cost Formula

GoMachining and Operating Rate using Minimum Production Cost and Minimum Production time 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 + C ct}{(L ref \cdot (\frac{n h}{n h - 1}) \cdot {(\frac{V ref}{V})}^{\frac{1}{n h}}) - t c})

M - Machining And Operating Rate?C_t - Cost of A Tool?C_ct - Cost of Changing Each Tool?L_ref - Reference Tool Life?n_h - Taylor's Tool Life Exponent For Hard Material?V_ref - Reference Cutting Velocity?V - Cutting Velocity?t_c - Time to Change One Tool?

Machining and Operating Rate given Tool Changing Cost Example

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

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

Here is how the Machining and Operating Rate given Tool Changing Cost equation looks like.

0.001 = (\frac{48 + 9.8}{(8400 \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{2.9961}{420})}^{\frac{1}{1.55}}) - 0.9})

0.001 = (\frac{48 + 9.8}{(8400min \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{2.9961m/min}{420m/min})}^{\frac{1}{1.55}}) - 0.9min})

0.001 = (\frac{48 + 9.8}{(8400 \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{2.9961}{420})}^{\frac{1}{1.55}}) - 0.9})

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Machining and Operating Rate given Tool Changing Cost Solution

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

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

M = (\frac{48 + 9.8}{(8400min \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{2.9961m/min}{420m/min})}^{\frac{1}{1.55}}) - 0.9min})

Next Step Convert Units

∴

M = (\frac{48 + 9.8}{(504000s \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{0.0499m/s}{7m/s})}^{\frac{1}{1.55}}) - 54s})

Next Step Prepare to Evaluate

∴

M = (\frac{48 + 9.8}{(504000 \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{0.0499}{7})}^{\frac{1}{1.55}}) - 54})

Next Step Evaluate

∴

M = 0.000988317400920395

LAST Step Rounding Answer

∴

M = 0.001

Machining and Operating Rate given Tool Changing 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 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

Cost of Changing Each Tool

Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.

Symbol: C_ct

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of Changing Each Tool

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

Taylor's Tool Life Exponent For Hard Material

Taylor's Tool Life Exponent For Hard Material is a parameter used in machining operations to describe the relationship between cutting speed and tool life.

Symbol: n_h

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Taylor's Tool Life Exponent For Hard Material

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/min

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

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/min

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

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

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 using Minimum Production Cost and Minimum Production time

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

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}}

How to Evaluate Machining and Operating Rate given Tool Changing Cost?

Machining and Operating Rate given Tool Changing Cost evaluator uses 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)) to evaluate the Machining And Operating Rate, The Machining and Operating Rate given Tool Changing Cost is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Cost is Minimum in reference to the Cutting Velocity of Tool. Machining And Operating Rate is denoted by M symbol.

How to evaluate Machining and Operating Rate given Tool Changing Cost using this online evaluator? To use this online evaluator for Machining and Operating Rate given Tool Changing Cost, enter Cost of A Tool (C_t), Cost of Changing Each Tool (C_ct), Reference Tool Life (L_ref), Taylor's Tool Life Exponent For Hard Material (n_h), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Time to Change One Tool (t_c) and hit the calculate button.

FAQs on Machining and Operating Rate given Tool Changing Cost

What is the formula to find Machining and Operating Rate given Tool Changing Cost?

The formula of Machining and Operating Rate given Tool Changing Cost is expressed as 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)). Here is an example- 0.000988 = ((48+9.8)/((504000*(1.55/(1.55-1))*(0.0499342666666667/7)^(1/1.55))-54)).

How to calculate Machining and Operating Rate given Tool Changing Cost?

With Cost of A Tool (C_t), Cost of Changing Each Tool (C_ct), Reference Tool Life (L_ref), Taylor's Tool Life Exponent For Hard Material (n_h), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Time to Change One Tool (t_c) we can find Machining and Operating Rate given Tool Changing Cost using the formula - 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)).

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/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1))

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Machining and Operating Rate given Tool Changing Cost Formula

​GoMachining and Operating Rate using Minimum Production Cost Formula

​GoMachining and Operating Rate using Minimum Production Cost and Minimum Production time Formula

Machining and Operating Rate given Tool Changing Cost Example

Machining and Operating Rate given Tool Changing Cost Solution

Machining and Operating Rate given Tool Changing Cost Formula Elements

Other Formulas to find Machining And Operating Rate

Other formulas in Minimum Production Cost category

How to Evaluate Machining and Operating Rate given Tool Changing Cost?

FAQs on Machining and Operating Rate given Tool Changing Cost

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GoMachining and Operating Rate using Minimum Production Cost Formula

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