Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining and Operating Cost of Each Product = ((((Machining Time for Minimum Cost/Machining Time for Maximum Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate
Cm = ((((tmin/tmax)^(1/Te))*Te/(1-Te))+1)*tmax*M
This formula uses 5 Variables
Variables Used
Machining and Operating Cost of Each Product - Machining and operating cost of each product refers to the total expenses incurred in the manufacturing process for producing individual metal components or products.
Machining Time for Minimum Cost - (Measured in Second) - Machining time for minimum cost refers to the duration required to produce a specific component or part while minimizing the overall cost of the machining process.
Machining Time for Maximum Cost - (Measured in Second) - Machining time for maximum cost refers to the duration it takes to complete a specific machining operation or process on a workpiece.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Machining and Operating Rate - Machining and operating rate refers to the speed or efficiency at which machining operations are conducted and machinery is utilized within a manufacturing facility.
STEP 1: Convert Input(s) to Base Unit
Machining Time for Minimum Cost: 74.88022 Second --> 74.88022 Second No Conversion Required
Machining Time for Maximum Cost: 30 Second --> 30 Second No Conversion Required
Taylor's Tool Life Exponent: 0.3 --> No Conversion Required
Machining and Operating Rate: 0.083 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cm = ((((tmin/tmax)^(1/Te))*Te/(1-Te))+1)*tmax*M --> ((((74.88022/30)^(1/0.3))*0.3/(1-0.3))+1)*30*0.083
Evaluating ... ...
Cm = 24.999996029858
STEP 3: Convert Result to Output's Unit
24.999996029858 --> No Conversion Required
FINAL ANSWER
24.999996029858 25 <-- Machining and Operating Cost of Each Product
(Calculation completed in 00.020 seconds)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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 Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate
Cost of 1 Tool given Machining Cost for Maximum Power
​ Go Cost of One Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time for Maximum Cost)-Machining and Operating Rate)/Time Proportion)-(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 Cost*(Machining and Operating Rate+(Time Proportion*(Machining and Operating Rate*Time to Change One Tool+Cost of One Tool)/Tool Life))
Cost of Machine tool given initial weight of workpiece
​ Go Cost of One Tool = Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f)

Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent Formula

Machining and Operating Cost of Each Product = ((((Machining Time for Minimum Cost/Machining Time for Maximum Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate
Cm = ((((tmin/tmax)^(1/Te))*Te/(1-Te))+1)*tmax*M

Components of Machining Cost

1) Material Cost: The cost of the raw material required for the component.
2) Machine Setup Cost: The cost to set up the machine for the specific job, which is often a fixed cost that can be amortized over the number of components produced.
3) Machining Time and Labor Cost: The direct labor costs associated with the machining time to produce the component.
4) Tooling Cost: The cost of tools used during machining, which includes tool wear and replacement.
5) Energy Cost: The cost of energy consumed during the machining process.
6) Overhead Costs: Indirect costs such as machine depreciation, maintenance, and facility overheads.

How to Calculate Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent?

Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent calculator uses Machining and Operating Cost of Each Product = ((((Machining Time for Minimum Cost/Machining Time for Maximum Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate to calculate the Machining and Operating Cost of Each Product, Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent refers to the total expense incurred to produce a single machined part. This cost includes all relevant expenses such as material, labor, machine usage, tooling, and overheads. Accurately calculating this cost is essential for pricing, budgeting, and profitability analysis. Machining and Operating Cost of Each Product is denoted by Cm symbol.

How to calculate Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent using this online calculator? To use this online calculator for Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent, enter Machining Time for Minimum Cost (tmin), Machining Time for Maximum Cost (tmax), Taylor's Tool Life Exponent (Te) & Machining and Operating Rate (M) and hit the calculate button. Here is how the Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent calculation can be explained with given input values -> 9.661628 = ((((74.88022/30)^(1/0.3))*0.3/(1-0.3))+1)*30*0.083.

FAQ

What is Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent?
Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent refers to the total expense incurred to produce a single machined part. This cost includes all relevant expenses such as material, labor, machine usage, tooling, and overheads. Accurately calculating this cost is essential for pricing, budgeting, and profitability analysis and is represented as Cm = ((((tmin/tmax)^(1/Te))*Te/(1-Te))+1)*tmax*M or Machining and Operating Cost of Each Product = ((((Machining Time for Minimum Cost/Machining Time for Maximum Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate. Machining time for minimum cost refers to the duration required to produce a specific component or part while minimizing the overall cost of the machining process, Machining time for maximum cost refers to the duration it takes to complete a specific machining operation or process on a workpiece, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Machining and operating rate refers to the speed or efficiency at which machining operations are conducted and machinery is utilized within a manufacturing facility.
How to calculate Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent?
Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent refers to the total expense incurred to produce a single machined part. This cost includes all relevant expenses such as material, labor, machine usage, tooling, and overheads. Accurately calculating this cost is essential for pricing, budgeting, and profitability analysis is calculated using Machining and Operating Cost of Each Product = ((((Machining Time for Minimum Cost/Machining Time for Maximum Cost)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Cost*Machining and Operating Rate. To calculate Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent, you need Machining Time for Minimum Cost (tmin), Machining Time for Maximum Cost (tmax), Taylor's Tool Life Exponent (Te) & Machining and Operating Rate (M). With our tool, you need to enter the respective value for Machining Time for Minimum Cost, Machining Time for Maximum Cost, Taylor's Tool Life Exponent & Machining and Operating Rate 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 Minimum Cost, Machining Time for Maximum Cost, Taylor's Tool Life Exponent & Machining and Operating Rate. 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 Maximum Cost*(Machining and Operating Rate+(Time Proportion*(Machining and Operating Rate*Time to Change One Tool+Cost of One Tool)/Tool Life))
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