Machining Time for Maximum Power given Machining Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
tp = Cm/(M+(Q*(M*tc+Ct)/T))
This formula uses 7 Variables
Variables Used
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 Cost of Each Product - Machining And Operating Cost of Each Product is the total amount of money required to machine a single product.
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.
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.
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 And Operating Cost of Each Product: 0.963225 --> No Conversion Required
Machining And Operating Rate: 0.0083 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Time to Change One Tool: 300 Second --> 300 Second No Conversion Required
Cost of A Tool: 100 --> No Conversion Required
Tool Life: 4500 Second --> 4500 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tp = Cm/(M+(Q*(M*tc+Ct)/T)) --> 0.963225/(0.0083+(0.5*(0.0083*300+100)/4500))
Evaluating ... ...
tp = 48.9250239855522
STEP 3: Convert Result to Output's Unit
48.9250239855522 Second --> No Conversion Required
FINAL ANSWER
48.9250239855522 48.92502 Second <-- Machining Time For Maximum Power
(Calculation completed in 00.004 seconds)

Credits

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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!
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Machining Time Calculators

Machining Time for optimum speed for Maximum Power given Machining Cost
​ LaTeX ​ 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
Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost
​ LaTeX ​ 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)
Machining Time for Maximum Power given Machining Cost
​ LaTeX ​ 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 Minimum Cost given Surface Generation rate
​ LaTeX ​ Go Machining Surface Time For Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate

Machining Time for Maximum Power given Machining Cost Formula

​LaTeX ​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))
tp = Cm/(M+(Q*(M*tc+Ct)/T))

Importance of Production Time

The Production time and its proper estimation are of great help in determining:
1. Manufacturing Costs
2. Machine Work Loads
3. Personel Needs
4. Delivery Time

How to Calculate Machining Time for Maximum Power given Machining Cost?

Machining Time for Maximum Power given Machining Cost calculator uses 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)) to calculate the Machining Time For Maximum Power, The Machining Time for Maximum Power given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production when the workpiece is machined under maximum power delivered by the tool. Machining Time For Maximum Power is denoted by tp symbol.

How to calculate Machining Time for Maximum Power given Machining Cost using this online calculator? To use this online calculator for Machining Time for Maximum Power given Machining Cost, enter Machining And Operating Cost of Each Product (Cm), Machining And Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (tc), Cost of A Tool (Ct) & Tool Life (T) and hit the calculate button. Here is how the Machining Time for Maximum Power given Machining Cost calculation can be explained with given input values -> 48.925 = 0.963225/(0.0083+(0.5*(0.0083*300+100)/4500)).

FAQ

What is Machining Time for Maximum Power given Machining Cost?
The Machining Time for Maximum Power given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production when the workpiece is machined under maximum power delivered by the tool and is represented as tp = Cm/(M+(Q*(M*tc+Ct)/T)) or 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 And Operating Cost of Each Product is the total amount of money required to machine a single product, 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, 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 & 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 Time for Maximum Power given Machining Cost?
The Machining Time for Maximum Power given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production when the workpiece is machined under maximum power delivered by the tool is calculated using 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)). To calculate Machining Time for Maximum Power given Machining Cost, you need Machining And Operating Cost of Each Product (Cm), Machining And Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (tc), Cost of A Tool (Ct) & Tool Life (T). With our tool, you need to enter the respective value for Machining And Operating Cost of Each Product, Machining And Operating Rate, Time Proportion of Cutting Edge Engagement, Time to Change One 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 Time For Maximum Power?
In this formula, Machining Time For Maximum Power uses Machining And Operating Cost of Each Product, Machining And Operating Rate, Time Proportion of Cutting Edge Engagement, Time to Change One Tool, Cost of A Tool & Tool Life. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Machining Time For Maximum Power = (Volume of Work Material Removed*Specific Cutting Energy in Machining)/Power Available For Machining
  • 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))
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