Machining Cost per component under Maximum Power Condition Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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))
Cm1 = tmaxp*(M+(Q*(M*tc+Ct)/T))
This formula uses 7 Variables
Variables Used
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 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 Time for Maximum Power: 48.925 Second --> 48.925 Second 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: 5 Minute --> 300 Second (Check conversion here)
Cost of a Tool: 100 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cm1 = tmaxp*(M+(Q*(M*tc+Ct)/T)) --> 48.925*(0.0083+(0.5*(0.0083*300+100)/4500))
Evaluating ... ...
Cm1 = 0.963224527777778
STEP 3: Convert Result to Output's Unit
0.963224527777778 --> No Conversion Required
FINAL ANSWER
0.963224527777778 0.963225 <-- Machining and Operating Cost of Each Product
(Calculation completed in 00.004 seconds)

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
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5 Maximum Power cost Calculators

Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent
Go 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*Machining and Operating Rate
Cost amortized over years given Total rate for Machining and Operator
Go Amortized Years = (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*Number of Shifts))
Cost of 1 Tool given Machining Cost for Maximum Power
Go Cost of a 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)-(Machining and Operating Rate*Time to Change One Tool)
Machining Cost per component under Maximum Power Condition
Go Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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))
Cost of Machine tool given initial weight of workpiece
Go Cost of a Tool = Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f)

Machining Cost per component under Maximum Power Condition Formula

Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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))
Cm1 = tmaxp*(M+(Q*(M*tc+Ct)/T))

Significance of Machining and Operating Costs

The Machining and Operating Cost basically helps in determining the count of components that can be manufactured in the given resources. If this calculated cost is lower than the actual cost based on machining time, it means that the production planning has failed, as the total number of the components that are to be produced becomes lower than the starting batch size.

How to Calculate Machining Cost per component under Maximum Power Condition?

Machining Cost per component under Maximum Power Condition calculator uses Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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 and Operating Cost of Each Product, The Machining Cost per component under Maximum Power Condition is defined as the capital that must be invested for machining and operating processes to be afforded on a single product when the workpiece is machined under maximum power delivered by the tool. Machining and Operating Cost of Each Product is denoted by Cm1 symbol.

How to calculate Machining Cost per component under Maximum Power Condition using this online calculator? To use this online calculator for Machining Cost per component under Maximum Power Condition, enter Machining Time for Maximum Power (tmaxp), 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 Cost per component under Maximum Power Condition calculation can be explained with given input values -> 0.963225 = 48.925*(0.0083+(0.5*(0.0083*300+100)/4500)).

FAQ

What is Machining Cost per component under Maximum Power Condition?
The Machining Cost per component under Maximum Power Condition is defined as the capital that must be invested for machining and operating processes to be afforded on a single product when the workpiece is machined under maximum power delivered by the tool and is represented as Cm1 = tmaxp*(M+(Q*(M*tc+Ct)/T)) or Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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 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 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 Cost per component under Maximum Power Condition?
The Machining Cost per component under Maximum Power Condition is defined as the capital that must be invested for machining and operating processes to be afforded on a single product when the workpiece is machined under maximum power delivered by the tool is calculated using Machining and Operating Cost of Each Product = Machining Time for Maximum Power*(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 Cost per component under Maximum Power Condition, you need Machining Time for Maximum Power (tmaxp), 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 Time for Maximum Power, 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 and Operating Cost of Each Product?
In this formula, Machining and Operating Cost of Each Product uses Machining Time for Maximum Power, Machining and Operating Rate, Time Proportion of Cutting Edge Engagement, Time to Change One Tool, Cost of a Tool & Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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*Machining and Operating Rate
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