Machining and Operating Rate given Machining Cost for Maximum Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
M = ((Cm1/tmaxp)-(Q*Ct/T))/((Q*tc/T)+1)
This formula uses 7 Variables
Variables Used
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = ((Cm1/tmaxp)-(Q*Ct/T))/((Q*tc/T)+1) --> ((0.963225/48.925)-(0.5*100/4500))/((0.5*300/4500)+1)
Evaluating ... ...
M = 0.00830000934060802
STEP 3: Convert Result to Output's Unit
0.00830000934060802 --> No Conversion Required
FINAL ANSWER
0.00830000934060802 0.0083 <-- Machining and Operating Rate
(Calculation completed in 00.004 seconds)

Credits

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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24 Machining Calculators

Machining and Operating Rate given Machining Cost for Maximum Power
Go Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
Machining Rate given Machining Cost for Maximum Power with limited Cutting Speed
Go Machining and Operating Rate = Machining and Operating Cost of Each Product/(((((Machining Time for Minimum Cost/Machining Time for Maximum Power)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Power)
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)
Number of shifts given Total rate for Machining and Operator
Go Number of Shifts = (Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/((Total Rate of Machining and Operator-(Factor to allow for Operator*Direct Labor Rate))*(2*Amortized Years))
Factor to allow for Machining overheads given Total rate for Machining and Operator
Go Factor to allow for Machining = (Total Rate of Machining and Operator-(Factor to allow for Operator*Direct Labor Rate))*(2*Amortized Years*Number of Shifts)/(Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))
Factor to allow for Operator overheads given Total rate for Machining and Operator
Go Factor to allow for Operator = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Direct Labor Rate
Direct labour Rate given Total rate for Machining and Operator
Go Direct Labor Rate = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Factor to allow for Operator
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)
Initial weight of workpiece given Machining time for maximum power
Go Initial Work Piece Weight = ((Density of work piece*Constant for Tool Type(a)*Machining Time for Maximum Power)/(Proportion of Initial Volume*Specific Cutting Energy in Machining))^(1/(1-Constant for Tool Type(b)))
Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece
Go Proportion of Initial Volume = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
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)
Specific cutting energy given Initial weight of workpiece
Go Specific Cutting Energy in Machining = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Proportion of Initial Volume*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
Density of Workpiece given Initial weight of workpiece
Go Density of work piece = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Machining Time for Maximum Power*Constant for Tool Type(a))
Length of Workpiece given Machining time for maximum power
Go Length of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Diameter 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 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)
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 Minimum Cost given Surface Generation rate
Go Machining Time for Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate
Surface area of Workpiece given Surface Generation rate
Go Surface Area of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)
Surface Generation Rate
Go Surface Generation Rate = (Surface Area of Workpiece)/Machining Time for Minimum Cost
Length-to-diameter Ratio in terms Initial weight of workpiece
Go Length to Diameter Ratio = 1.26/(Initial Work Piece Weight^0.29)

Machining and Operating Rate given Machining Cost for Maximum Power Formula

Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
M = ((Cm1/tmaxp)-(Q*Ct/T))/((Q*tc/T)+1)

Significance of Machining and Operating Rate

The Machining and Operating Rate basically helps in determining the count of components that can be manufactured in the given time for given resources. Optimizing this Rate helps in regulating the Total Machining Cost of the Production which carries the maximum weightage of the Total Production Cost.

How to Calculate Machining and Operating Rate given Machining Cost for Maximum Power?

Machining and Operating Rate given Machining Cost for Maximum Power calculator uses Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1) to calculate the Machining and Operating Rate, The Machining and Operating Rate given Machining Cost for Maximum Power is a way to determine the maximum expense rate that can be afforded on machines and operators when the workpiece is machined under maximum power delivered by the tool. Machining and Operating Rate is denoted by M symbol.

How to calculate Machining and Operating Rate given Machining Cost for Maximum Power using this online calculator? To use this online calculator for Machining and Operating Rate given Machining Cost for Maximum Power, enter Machining and Operating Cost of Each Product (Cm1), Machining Time for Maximum Power (tmaxp), Time Proportion of Cutting Edge Engagement (Q), Cost of a Tool (Ct), Tool Life (T) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Machining and Operating Rate given Machining Cost for Maximum Power calculation can be explained with given input values -> 0.0083 = ((0.963225/48.925)-(0.5*100/4500))/((0.5*300/4500)+1) .

FAQ

What is Machining and Operating Rate given Machining Cost for Maximum Power?
The Machining and Operating Rate given Machining Cost for Maximum Power is a way to determine the maximum expense rate that can be afforded on machines and operators when the workpiece is machined under maximum power delivered by the tool and is represented as M = ((Cm1/tmaxp)-(Q*Ct/T))/((Q*tc/T)+1) or Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1). 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, 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, 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 & Time to Change One Tool is the measure of time it takes to change one tool during machining.
How to calculate Machining and Operating Rate given Machining Cost for Maximum Power?
The Machining and Operating Rate given Machining Cost for Maximum Power is a way to determine the maximum expense rate that can be afforded on machines and operators when the workpiece is machined under maximum power delivered by the tool is calculated using Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1). To calculate Machining and Operating Rate given Machining Cost for Maximum Power, you need Machining and Operating Cost of Each Product (Cm1), Machining Time for Maximum Power (tmaxp), Time Proportion of Cutting Edge Engagement (Q), Cost of a Tool (Ct), Tool Life (T) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Machining and Operating Cost of Each Product, Machining Time for Maximum Power, Time Proportion of Cutting Edge Engagement, Cost of a Tool, Tool Life & Time to Change One 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 Machining and Operating Rate?
In this formula, Machining and Operating Rate uses Machining and Operating Cost of Each Product, Machining Time for Maximum Power, Time Proportion of Cutting Edge Engagement, Cost of a Tool, Tool Life & Time to Change One Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Machining and Operating Rate = Machining and Operating Cost of Each Product/(((((Machining Time for Minimum Cost/Machining Time for Maximum Power)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Power)
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