Time Proportion of Cutting Edge Engagement given Machining Cost Calculator

✖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 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%
✖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%

✖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 given Machining Cost [Q]

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Time Proportion of Cutting Edge Engagement given Machining Cost

Formula

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

Example

`"1.374593"="75min"*(("4650.5"/"0.75min")-"101")/("101"*"1.25min"+"100")`

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Time Proportion of Cutting Edge Engagement given Machining Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Machining and Operating Cost of Each Product: 4650.5 --> No Conversion Required
Machining Time: 0.75 Minute --> 45 Second (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = T*((C_m1/t_m)-M)/(M*t_c+C_t) --> 4500*((4650.5/45)-101)/(101*75+100)

Evaluating ... ...

Q = 1.37459283387622

STEP 3: Convert Result to Output's Unit

1.37459283387622 --> No Conversion Required

FINAL ANSWER

1.37459283387622 ≈ 1.374593 <-- Time Proportion of Cutting Edge Engagement

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Tool Cost » Time Proportion of Cutting Edge Engagement 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

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

Time Proportion of Cutting Edge Engagement given Machining Cost Formula

Advantages of Constant-Cutting-Speed Operation

Constant Surface Speed provides at least four advantages:
1. It simplifies programming.
2. It provides a consistent workpiece finish.
3. It optimizes Tool Life - Tools will always machine at the appropriate speed.
4. It optimizes Machining Time - Cutting conditions will always be properly set, which translates to minimal machining time.

How to Calculate Time Proportion of Cutting Edge Engagement given Machining Cost?

Time Proportion of Cutting Edge Engagement given Machining Cost calculator uses 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) to calculate the Time Proportion of Cutting Edge Engagement, The Time Proportion of Cutting Edge Engagement given Machining Cost is a method to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Time Proportion of Cutting Edge Engagement given Machining Cost using this online calculator? To use this online calculator for Time Proportion of Cutting Edge Engagement given Machining Cost, enter Tool Life (T), Machining and Operating Cost of Each Product (C_m1), Machining Time (t_m), Machining and Operating Rate (M), Time to Change One Tool (t_c) & Cost of a Tool (C_t) and hit the calculate button. Here is how the Time Proportion of Cutting Edge Engagement given Machining Cost calculation can be explained with given input values -> 0.347039 = 4500*((4650.5/45)-101)/(101*75+100).

FAQ

What is Time Proportion of Cutting Edge Engagement given Machining Cost?

The Time Proportion of Cutting Edge Engagement given Machining Cost is a method to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time and is represented as Q = T*((C_m1/t_m)-M)/(M*t_c+C_t) or 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). Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, 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, 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.

How to calculate Time Proportion of Cutting Edge Engagement given Machining Cost?

The Time Proportion of Cutting Edge Engagement given Machining Cost is a method to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time is calculated using 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). To calculate Time Proportion of Cutting Edge Engagement given Machining Cost, you need Tool Life (T), Machining and Operating Cost of Each Product (C_m1), Machining Time (t_m), Machining and Operating Rate (M), Time to Change One Tool (t_c) & Cost of a Tool (C_t). With our tool, you need to enter the respective value for Tool Life, Machining and Operating Cost of Each Product, Machining Time, Machining and Operating Rate, Time to Change One Tool & Cost of a Tool 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 Time Proportion of Cutting Edge Engagement?

In this formula, Time Proportion of Cutting Edge Engagement uses Tool Life, Machining and Operating Cost of Each Product, Machining Time, Machining and Operating Rate, Time to Change One Tool & Cost of a Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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