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Tool Changing Cost per Tool given Machining Cost Formula

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

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

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

Tool Changing Cost per Tool given Machining Cost Example

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Here is how the Tool Changing Cost per Tool given Machining Cost equation looks like with Values.

Here is how the Tool Changing Cost per Tool given Machining Cost equation looks like with Units.

Here is how the Tool Changing Cost per Tool given Machining Cost equation looks like.

7575 = (4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{0.5}) - 478575

7575 = (4500s \cdot \frac{(\frac{4650.5}{30s}) - 101}{0.5}) - 478575

7575 = (4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{0.5}) - 478575

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Home » Engineering » Production Engineering » Metal Machining » Tool Changing Cost per Tool given Machining Cost

Tool Changing Cost per Tool given Machining Cost Solution

Follow our step by step solution on how to calculate Tool Changing Cost per Tool given Machining Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

C ct = (4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{0.5}) - 478575

Next Step Evaluate

∴

C ct = 7575.00000000012

LAST Step Rounding Answer

∴

C ct = 7575

Tool Changing Cost per Tool given Machining Cost Formula Elements

Variables

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 he is paid by the hour.

Symbol: C_ct

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Formula and 400+ more formulas!

Verifier Image

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Formula and 400+ more formulas!

Other formulas in Tool Cost category

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}

Go Tool Changing Time for 1 Tool given Machining Cost

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

See More

How to Evaluate Tool Changing Cost per Tool given Machining Cost?

Tool Changing Cost per Tool given Machining Cost evaluator uses Cost of Changing Each Tool = (Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool to evaluate the Cost of Changing Each Tool, The Tool Changing Cost per Tool given Machining Cost is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour, based on the expense on to machine 1 component. Cost of Changing Each Tool is denoted by C_ct symbol.

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

FAQs on Tool Changing Cost per Tool given Machining Cost

What is the formula to find Tool Changing Cost per Tool given Machining Cost?

The formula of Tool Changing Cost per Tool given Machining Cost is expressed as Cost of Changing Each Tool = (Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool. Here is an example- 7575 = (4500*((4650.5/30)-101)/0.5)-478575.

How to calculate Tool Changing Cost per Tool given Machining Cost?

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

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