Tool Life of One Tool given Machining Cost Calculator

✖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%
✖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 to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+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%
✖Machining and Operating Cost of Each Product is the total amount of money required to machine a single product.ⓘ Machining and Operating Cost of Each Product [C_m1]			+10% -10%
✖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%

✖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 of One Tool given Machining Cost [T]

⎘ Copy

👎

Formula

✖

Tool Life of One Tool given Machining Cost

Formula

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

Example

`"27.28081min"="0.5"*("101"*"1.25min"+"100")/(("4650.5"/"0.75min")-"101")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Tool Life of One Tool given Machining Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T = Q*(M*t_c+C_t)/((C_m1/t_m)-M)
This formula uses 7 Variables

Variables Used

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.
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.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
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.

STEP 1: Convert Input(s) to Base Unit

Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Machining and Operating Rate: 101 --> No Conversion Required
Time to Change One Tool: 1.25 Minute --> 75 Second (Check conversion here)
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Cost of Each Product: 4650.5 --> No Conversion Required
Machining Time: 0.75 Minute --> 45 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = Q*(M*t_c+C_t)/((C_m1/t_m)-M) --> 0.5*(101*75+100)/((4650.5/45)-101)

Evaluating ... ...

T = 1636.84834123222

STEP 3: Convert Result to Output's Unit

1636.84834123222 Second -->27.2808056872037 Minute (Check conversion here)

FINAL ANSWER

27.2808056872037 ≈ 27.28081 Minute <-- Tool Life

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Tool Cost » Tool Life of One Tool given Machining Cost

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

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))

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)

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)

Constant for Machining Operation of one product given Machining Condition

Go Constant For Machining Condition = Machining Time*Cutting Velocity

Cutting Velocity of one product given Constant for Machining Operation

Go Cutting Velocity = Constant For Machining Condition/Machining Time

Machining Time of one product given Constant for Machining Operation

Go Machining Time = Constant For Machining Condition/Cutting Velocity

Tool Life of One Tool given Machining Cost Formula

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

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

Tool Life of One Tool given Machining Cost calculator 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 calculate 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 calculate Tool Life of One Tool given Machining Cost using this online calculator? To use this online calculator 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_m1) & Machining Time (t_m) and hit the calculate button. Here is how the Tool Life of One Tool given Machining Cost calculation can be explained with given input values -> 1.800948 = 0.5*(101*75+100)/((4650.5/45)-101).

FAQ

What is Tool Life of One Tool given Machining Cost?

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 and is represented as T = Q*(M*t_c+C_t)/((C_m1/t_m)-M) or 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). 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, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Time to Change One Tool is the measure of time it takes to change one tool during machining, The Cost of a Tool is simply the cost of one tool being used for machining, Machining and Operating Cost of Each Product is the total amount of money required to machine a single product & 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.

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

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 is calculated using 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 calculate Tool Life of One Tool given Machining Cost, you need 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_m1) & Machining Time (t_m). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search