Machining Cost given Tool Changing Cost per Tool Calculator

✖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.ⓘ Machining Time [t_m]			+10% -10%
✖Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate [M]			+10% -10%
✖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.ⓘ Time Proportion of Cutting Edge Engagement [Q]			+10% -10%
✖The 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.ⓘ Cost of changing each Tool [C_CT]			+10% -10%
✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of a Tool [C_t]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%

✖Machining and Operating Cost of Each Product is the total amount of money required to machine a single product.ⓘ Machining Cost given Tool Changing Cost per Tool [C_m1]

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Formula

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Machining Cost given Tool Changing Cost per Tool

Formula

`"C"_{"m1"} = "t"_{"m"}*("M"+("Q"*("C"_{"CT"}+"C"_{"t"})/"T"))`

Example

`"4545.625"="0.75min"*("101"+("0.5"*("25"+"100")/"75min"))`

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Machining Cost given Tool Changing Cost per Tool Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life))
C_m1 = t_m*(M+(Q*(C_CT+C_t)/T))
This formula uses 7 Variables

Variables Used

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.
Machining Time - (Measured in Second) - 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.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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.
Cost of changing each Tool - The 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.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

STEP 1: Convert Input(s) to Base Unit

Machining Time: 0.75 Minute --> 45 Second (Check conversion here)
Machining and Operating Rate: 101 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Cost of changing each Tool: 25 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_m1 = t_m*(M+(Q*(C_CT+C_t)/T)) --> 45*(101+(0.5*(25+100)/4500))

Evaluating ... ...

C_m1 = 4545.625

STEP 3: Convert Result to Output's Unit

4545.625 --> No Conversion Required

FINAL ANSWER

4545.625 <-- Machining and Operating Cost of Each Product

(Calculation completed in 00.004 seconds)

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Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Tool Cost Calculators

Tool Changing Time for 1 Tool given Machining Cost

Go Time to Change One 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)/Machining and Operating Rate

Tool Life of One Tool given Machining Cost

Go 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)

Cost of 1 Tool given Machining Cost

Go Cost of a Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-(Machining and Operating Rate*Time to Change One Tool)

Time Proportion of Cutting Edge Engagement given Machining Cost

Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)

Machining Time per component given Machining Cost

Go Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))

Machining Cost per component

Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))

Tool Changing Cost per Tool given Machining Cost

Go 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

Machining Cost given Tool Changing Cost per Tool

Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life))

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost

Go Time Proportion of Cutting Edge Engagement = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate)))

Cost of 1 Tool given Tool Life for Minimum Machining Cost

Go Cost of a Tool = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining and Operating Rate

Minimum Cost of Machining per component

Go Machining and Operating Cost of Each Product = Machining and Operating Rate*Machining Time for Minimum Cost/(1-Taylor's Tool Life Exponent)

Cutting Velocity of one product given Constant for Machining Operation

Go Cutting Velocity = Constant For Machining Condition/Machining Time

Constant for Machining Operation of one product given Machining Condition

Go Constant For Machining Condition = Machining Time*Cutting Velocity

Machining Time of one product given Constant for Machining Operation

Go Machining Time = Constant For Machining Condition/Cutting Velocity

Machining Cost given Tool Changing Cost per Tool Formula

Significance of Machining and Operating Costs

The Machining and Operating Cost basically helps in determining the count of components that can be manufactured in the given resources. If this calculated cost is lower than the actual cost based on machining time, it means that the production planning has failed, as the total number of the components that are to be produced becomes lower than the starting batch size.

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

Machining Cost given Tool Changing Cost per Tool calculator uses Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life)) to calculate the Machining and Operating Cost of Each Product, The Machining Cost given Tool Changing Cost per Tool is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known. Machining and Operating Cost of Each Product is denoted by C_m1 symbol.

How to calculate Machining Cost given Tool Changing Cost per Tool using this online calculator? To use this online calculator for Machining Cost given Tool Changing Cost per Tool, enter Machining Time (t_m), Machining and Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Cost of changing each Tool (C_CT), Cost of a Tool (C_t) & Tool Life (T) and hit the calculate button. Here is how the Machining Cost given Tool Changing Cost per Tool calculation can be explained with given input values -> 4545.625 = 45*(101+(0.5*(25+100)/4500)).

FAQ

What is Machining Cost given Tool Changing Cost per Tool?

The Machining Cost given Tool Changing Cost per Tool is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known and is represented as C_m1 = t_m*(M+(Q*(C_CT+C_t)/T)) or Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life)). 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, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, 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, The 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, The Cost of a Tool is simply the cost of one tool being used for machining & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

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

The Machining Cost given Tool Changing Cost per Tool is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known is calculated using Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life)). To calculate Machining Cost given Tool Changing Cost per Tool, you need Machining Time (t_m), Machining and Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Cost of changing each Tool (C_CT), Cost of a Tool (C_t) & Tool Life (T). With our tool, you need to enter the respective value for Machining Time, Machining and Operating Rate, Time Proportion of Cutting Edge Engagement, Cost of changing each Tool, Cost of a Tool & Tool Life and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Machining and Operating Cost of Each Product?

In this formula, Machining and Operating Cost of Each Product uses Machining Time, Machining and Operating Rate, Time Proportion of Cutting Edge Engagement, Cost of changing each Tool, Cost of a Tool & Tool Life. We can use 2 other way(s) to calculate the same, which is/are as follows -

Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
Machining and Operating Cost of Each Product = Machining and Operating Rate*Machining Time for Minimum Cost/(1-Taylor's Tool Life Exponent)

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