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

✖Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining.ⓘ Machining Time for Minimum Cost [tm_c]			+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%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+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%

✖Machining and Operating Cost of Each Product is the total amount of money required to machine a single product.ⓘ Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent [C_m1]

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

Formula

`"C"_{"m1"} = (((("tm"_{"c"}/"tmax"_{"p"})^(1/"n"))*"n"/(1-"n"))+1)*"tmax"_{"p"}*"M"`

Example

`"0.884958"=(((("53.13s"/"48.925s")^(1/"0.5"))*"0.5"/(1-"0.5"))+1)*"48.925s"*"0.0083"`

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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 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
C_m1 = ((((tm_c/tmax_p)^(1/n))*n/(1-n))+1)*tmax_p*M
This formula uses 5 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 Minimum Cost - (Measured in Second) - Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining.
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.
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 is the money charged for processing on and operating machines per unit time, including overheads.

STEP 1: Convert Input(s) to Base Unit

Machining Time for Minimum Cost: 53.13 Second --> 53.13 Second No Conversion Required
Machining Time for Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required
Machining and Operating Rate: 0.0083 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_m1 = ((((tm_c/tmax_p)^(1/n))*n/(1-n))+1)*tmax_p*M --> ((((53.13/48.925)^(1/0.5))*0.5/(1-0.5))+1)*48.925*0.0083

Evaluating ... ...

C_m1 = 0.884957709913132

STEP 3: Convert Result to Output's Unit

0.884957709913132 --> No Conversion Required

FINAL ANSWER

0.884957709913132 ≈ 0.884958 <-- Machining and Operating Cost of Each Product

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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 for Maximum Power when Cutting Speed is limited by Taylor's Exponent Formula

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 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 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 to calculate the Machining and Operating Cost of Each Product, The Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known. Machining and Operating Cost of Each Product is denoted by C_m1 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 (tm_c), Machining Time for Maximum Power (tmax_p), Taylor's Tool Life Exponent (n) & 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 -> 0.884958 = ((((53.13/48.925)^(1/0.5))*0.5/(1-0.5))+1)*48.925*0.0083.

FAQ

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

The Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known and is represented as C_m1 = ((((tm_c/tmax_p)^(1/n))*n/(1-n))+1)*tmax_p*M or 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. Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining, Machining Time for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

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

The Machining Cost per component for Maximum Power when Cutting Speed is limited by Taylor's Exponent is the capital that must be invested for machining and operating processes to be afforded on a single product when Tool Changing Cost per Tool is known is calculated using 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. 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 (tm_c), Machining Time for Maximum Power (tmax_p), Taylor's Tool Life Exponent (n) & 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 Power, 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 Power, 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 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))

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