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Tool Life of One Tool given Machining Cost Formula

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Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations. Check FAQs

T = Q \cdot \frac{M \cdot t c + C t}{(\frac{C m}{t m}) - M}

T - Tool Life?Q - Time Proportion of Cutting Edge Engagement?M - Machining And Operating Rate?t_c - Time to Change One Tool?C_t - Cost of A Tool?C_m - Machining And Operating Cost of Each Product?t_m - Machining Time?

Tool Life of One Tool given Machining Cost Example

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Here is how the Tool Life of One Tool given Machining Cost equation looks like with Values.

Here is how the Tool Life of One Tool given Machining Cost equation looks like with Units.

Here is how the Tool Life of One Tool given Machining Cost equation looks like.

4500 = 0.5 \cdot \frac{101 \cdot 75 + 478575}{(\frac{4650.5}{30}) - 101}

4500s = 0.5 \cdot \frac{101 \cdot 75s + 478575}{(\frac{4650.5}{30s}) - 101}

4500 = 0.5 \cdot \frac{101 \cdot 75 + 478575}{(\frac{4650.5}{30}) - 101}

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Tool Life of One Tool given Machining Cost Solution

Follow our step by step solution on how to calculate Tool Life of One Tool given Machining Cost?

FIRST Step Consider the formula

T = Q \cdot \frac{M \cdot t c + C t}{(\frac{C m}{t m}) - M}

Next Step Substitute values of Variables

∴

T = 0.5 \cdot \frac{101 \cdot 75s + 478575}{(\frac{4650.5}{30s}) - 101}

Next Step Prepare to Evaluate

∴

T = 0.5 \cdot \frac{101 \cdot 75 + 478575}{(\frac{4650.5}{30}) - 101}

LAST Step Evaluate

∴

T = 4500s

Tool Life of One Tool given Machining Cost Formula Elements

Variables

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

Time Proportion of Cutting Edge Engagement

Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge Engagement

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

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: s

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

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

Machining And Operating Cost of Each Product

Machining And Operating Cost of Each Product is the total amount of money required to machine a single product.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Cost of Each Product

Machining Time

Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

Symbol: t_m

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time

Other formulas in Tool Cost category

Go Tool Changing Cost per Tool given Machining Cost

C ct = (T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - C t

Go Time Proportion of Cutting Edge Engagement given Machining Cost

Q = T \cdot \frac{(\frac{C m}{t m}) - M}{M \cdot t c + C t}

How to Evaluate Tool Life of One Tool given Machining Cost?

Tool Life of One Tool given Machining Cost evaluator uses Tool Life = Time Proportion of Cutting Edge Engagement*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate) to evaluate the Tool Life, The Tool Life of One Tool given Machining Cost is a method to determine the useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known. Tool Life is denoted by T symbol.

How to evaluate Tool Life of One Tool given Machining Cost using this online evaluator? To use this online evaluator for Tool Life of One Tool given Machining Cost, enter Time Proportion of Cutting Edge Engagement (Q), Machining And Operating Rate (M), Time to Change One Tool (t_c), Cost of A Tool (C_t), Machining And Operating Cost of Each Product (C_m) & Machining Time (t_m) and hit the calculate button.

FAQs on Tool Life of One Tool given Machining Cost

What is the formula to find Tool Life of One Tool given Machining Cost?

The formula of Tool Life of One Tool given Machining Cost is expressed as Tool Life = Time Proportion of Cutting Edge Engagement*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate). Here is an example- 4500 = 0.5*(101*75+478575)/((4650.5/30)-101).

How to calculate Tool Life of One Tool given Machining Cost?

With Time Proportion of Cutting Edge Engagement (Q), Machining And Operating Rate (M), Time to Change One Tool (t_c), Cost of A Tool (C_t), Machining And Operating Cost of Each Product (C_m) & Machining Time (t_m) we can find Tool Life of One Tool given Machining Cost using the formula - Tool Life = Time Proportion of Cutting Edge Engagement*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate).

Can the Tool Life of One Tool given Machining Cost be negative?

No, the Tool Life of One Tool given Machining Cost, measured in Time cannot be negative.

Which unit is used to measure Tool Life of One Tool given Machining Cost?

Tool Life of One Tool given Machining Cost is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Tool Life of One Tool given Machining Cost can be measured.

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Tool Life of One Tool given Machining Cost Formula

Tool Life of One Tool given Machining Cost Example

Tool Life of One Tool given Machining Cost Solution

Tool Life of One Tool given Machining Cost Formula Elements

Other formulas in Tool Cost category

How to Evaluate Tool Life of One Tool given Machining Cost?

FAQs on Tool Life of One Tool given Machining Cost

Variable Name