Tool Life for Maximum Power delivery given Machining Cost for Maximum Power 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 for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.ⓘ Machining Time for Maximum Power [tmax_p]			+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 for Maximum Power delivery given Machining Cost for Maximum Power [T]

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Tool Life for Maximum Power delivery given Machining Cost for Maximum Power

Formula

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

Example

`"74.99994min"="0.5"*("0.0083"*"5min"+"100")/(("0.963225"/"48.925s")-"0.0083") `

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Tool Life for Maximum Power delivery given Machining Cost for Maximum Power 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 for Maximum Power)-Machining and Operating Rate)
T = Q*(M*t_c+C_t)/((C_m1/tmax_p)-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 for Maximum Power - (Measured in Second) - Machining Time for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.

STEP 1: Convert Input(s) to Base Unit

Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Machining and Operating Rate: 0.0083 --> No Conversion Required
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Cost of Each Product: 0.963225 --> No Conversion Required
Machining Time for Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = Q*(M*t_c+C_t)/((C_m1/tmax_p)-M) --> 0.5*(0.0083*300+100)/((0.963225/48.925)-0.0083)

Evaluating ... ...

T = 4499.99618592922

STEP 3: Convert Result to Output's Unit

4499.99618592922 Second -->74.9999364321536 Minute (Check conversion here)

FINAL ANSWER

74.9999364321536 ≈ 74.99994 Minute <-- Tool Life

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

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National Institute of Technology (NIT), Srinagar

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< 19 Machining Time Calculators

Constant for machine type b given Machining time for maximum power

Go Constant for Tool Type(b) = 1-(ln(Density of work piece*Constant for Tool Type(a)*Machining Time for Maximum Power)-ln(Proportion of Initial Volume*Specific Cutting Energy in Machining))/ln(Initial Work Piece Weight)

Machining Time for optimum speed for Maximum Power given Machining Cost

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

Tool Changing Time for 1 Tool given Machining Cost for Maximum Power

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

Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost

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

Tool Life for Maximum Power delivery given Machining Cost for Maximum Power

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 for Maximum Power)-Machining and Operating Rate)

Machining Time for Maximum Power given Machining Cost

Go Machining Time for Maximum Power = 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 time for maximum power given Initial weight of workpiece

Go Machining Time for Maximum Power = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Density of work piece*Constant for Tool Type(a))

Constant for machine type given Machining time for maximum power

Go Constant for Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Density of work piece*Machining Time for Maximum Power)

Depth of cut given Machining time for maximum power

Go Depth of Cut = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Diameter of Workpiece)

Diameter of workpiece terms of Machining time for maximum power

Go Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)

Length of Workpiece given Surface Generation rate

Go Length of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece)

Specific cutting energy given Machining time for maximum power

Go Specific Cutting Energy in Machining = (Machining Time for Maximum Power*Power Available for Machining)/(Volume of Work Material Removed)

Power available for Machining given Machining time for maximum power

Go Power Available for Machining = (60*Volume of Work Material Removed*Specific Cutting Energy in Machining)/Machining Time for Maximum Power

Diameter of Workpiece given Surface Generation rate

Go Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)

Volume of material to be removed given Machining time for maximum power

Go Volume of Work Material Removed = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining)

Machining time for maximum power in Turning

Go Machining Time for Maximum Power = (Volume of Work Material Removed*Specific Cutting Energy in Machining)/Power Available for Machining

Machining Time for Minimum Cost given Surface Generation rate

Go Machining Time for Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate

Surface Generation Rate

Go Surface Generation Rate = (Surface Area of Workpiece)/Machining Time for Minimum Cost

Machining time under Max power for free machining

Go Machining Time for Maximum Power = 49.9*Initial Work Piece Weight^0.47

Tool Life for Maximum Power delivery given Machining Cost for Maximum Power 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 for Maximum Power delivery given Machining Cost for Maximum Power?

Tool Life for Maximum Power delivery given Machining Cost for Maximum Power 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 for Maximum Power)-Machining and Operating Rate) to calculate the Tool Life, The Tool Life for Maximum Power delivery given Machining Cost for Maximum Power is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known under maximum Power. Tool Life is denoted by T symbol.

How to calculate Tool Life for Maximum Power delivery given Machining Cost for Maximum Power using this online calculator? To use this online calculator for Tool Life for Maximum Power delivery given Machining Cost for Maximum Power, 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 for Maximum Power (tmax_p) and hit the calculate button. Here is how the Tool Life for Maximum Power delivery given Machining Cost for Maximum Power calculation can be explained with given input values -> 1.249999 = 0.5*(0.0083*300+100)/((0.963225/48.925)-0.0083) .

FAQ

What is Tool Life for Maximum Power delivery given Machining Cost for Maximum Power?

The Tool Life for Maximum Power delivery given Machining Cost for Maximum Power is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known under maximum Power and is represented as T = Q*(M*t_c+C_t)/((C_m1/tmax_p)-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 for Maximum Power)-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 for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.

How to calculate Tool Life for Maximum Power delivery given Machining Cost for Maximum Power?

The Tool Life for Maximum Power delivery given Machining Cost for Maximum Power is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known under maximum Power 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 for Maximum Power)-Machining and Operating Rate). To calculate Tool Life for Maximum Power delivery given Machining Cost for Maximum Power, 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 for Maximum Power (tmax_p). 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 for Maximum Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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