Time Proportion of Cutting Edge Engagement for Maximum Power delivery 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 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%
✖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 for Maximum Power delivery given Machining Cost [Q]

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

Formula

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

Example

`"0.5"="4500s"*(("0.963225"/"48.925s")-"0.0083")/("0.0083"*"300s"+"100")`

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Time Proportion of Cutting Edge Engagement for Maximum Power delivery 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 For Maximum Power)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of A Tool)
Q = T*((C_m1/tmax_p)-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 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.
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: 4500 Second --> 4500 Second 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
Machining and Operating Rate: 0.0083 --> No Conversion Required
Time to Change One Tool: 300 Second --> 300 Second No Conversion Required
Cost of A Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = T*((C_m1/tmax_p)-M)/(M*t_c+C_t) --> 4500*((0.963225/48.925)-0.0083)/(0.0083*300+100)

Evaluating ... ...

Q = 0.500000423786002

STEP 3: Convert Result to Output's Unit

0.500000423786002 --> No Conversion Required

FINAL ANSWER

0.500000423786002 ≈ 0.5 <-- Time Proportion of Cutting Edge Engagement

(Calculation completed in 00.004 seconds)

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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

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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)

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)

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 given Surface Generation rate

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

Length of Workpiece given Surface Generation rate

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

Power available for Machining given Machining time for maximum power

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

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)

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)

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

Surface Generation Rate

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

Machining Time for Minimum Cost given Surface Generation rate

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

Machining time under Max power for free machining

Go Machining Time For Free Machining = 49.9*Initial Work Piece Weight^0.47

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

Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost calculator uses 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) to calculate the Time Proportion of Cutting Edge Engagement, The Time Proportion of Cutting Edge Engagement for Maximum Power delivery 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 under maximum power. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost using this online calculator? To use this online calculator for Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost, enter Tool Life (T), Machining and Operating Cost of Each Product (C_m1), Machining Time For Maximum Power (tmax_p), 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 for Maximum Power delivery given Machining Cost calculation can be explained with given input values -> 0.5 = 4500*((0.963225/48.925)-0.0083)/(0.0083*300+100).

FAQ

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

The Time Proportion of Cutting Edge Engagement for Maximum Power delivery 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 under maximum power and is represented as Q = T*((C_m1/tmax_p)-M)/(M*t_c+C_t) or 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 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 For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions, 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 for Maximum Power delivery given Machining Cost?

The Time Proportion of Cutting Edge Engagement for Maximum Power delivery 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 under maximum power is calculated using 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). To calculate Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost, you need Tool Life (T), Machining and Operating Cost of Each Product (C_m1), Machining Time For Maximum Power (tmax_p), 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 For Maximum Power, 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.

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