Machining and Operating Rate given Minimum Production Cost Calculator

✖Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.ⓘ Production Cost of Each Component [C_p]			+10% -10%
✖Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.ⓘ Setup Time [t_s]			+10% -10%
✖Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter".ⓘ Constant For Machining Condition [K]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.ⓘ Reference Tool Life [L]			+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%
✖Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.ⓘ Reference Cutting Velocity [V]			+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 given Minimum Production Cost [R]

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Formula

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Machining and Operating Rate given Minimum Production Cost

Formula

R = \frac{C p}{t s + (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)})}

Example

7 = \frac{5000}{300 s + (168.946948749017 m \cdot \frac{{(\frac{3000 s}{60 s})}^{0.125}}{0.76 m/s \cdot (1 - 0.125)})}

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Machining and Operating Rate given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))
R = C_p/(t_s+(K*((T/L)^n)/(V*(1-n))))
This formula uses 8 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.
Production Cost of Each Component - Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Constant For Machining Condition - (Measured in Meter) - Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter".
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.
Reference Tool Life - (Measured in Second) - Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.

STEP 1: Convert Input(s) to Base Unit

Production Cost of Each Component: 5000 --> No Conversion Required
Setup Time: 300 Second --> 300 Second No Conversion Required
Constant For Machining Condition: 168.946948749017 Meter --> 168.946948749017 Meter No Conversion Required
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = C_p/(t_s+(K*((T/L)^n)/(V*(1-n)))) --> 5000/(300+(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125))))

Evaluating ... ...

R = 7.00000000000001

STEP 3: Convert Result to Output's Unit

7.00000000000001 --> No Conversion Required

FINAL ANSWER

7.00000000000001 ≈ 7 <-- Machining and Operating Rate

(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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< Minimum Machining Cost Calculators

Machining and Operating Rate given Minimum Production Cost

Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Minimum Production Cost per Component

Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Non-Productive Time per component given Minimum Production Cost

Go Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))

Constant for Machining Operation given Minimum Production Cost

Go Constant For Machining Condition = (Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Machining and Operating Rate given Minimum Production Cost Formula

Machining Time Estimation Methods

Commonly used Machining Time Estimation Methods are:
1. By estimation
2. By Timing
3. By Comparison
4. By the sum of elementary pre-defined times

How to Calculate Machining and Operating Rate given Minimum Production Cost?

Machining and Operating Rate given Minimum Production Cost calculator uses Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))) to calculate the Machining and Operating Rate, The Machining and Operating Rate given Minimum Production Cost is a method to determine the maximum amount that can be spent on Machining and Operating when the resources to be used are strictly bounded. Machining and Operating Rate is denoted by R symbol.

How to calculate Machining and Operating Rate given Minimum Production Cost using this online calculator? To use this online calculator for Machining and Operating Rate given Minimum Production Cost, enter Production Cost of Each Component (C_p), Setup Time (t_s), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V) and hit the calculate button. Here is how the Machining and Operating Rate given Minimum Production Cost calculation can be explained with given input values -> 7.000001 = 5000/(300+(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125)))).

FAQ

What is Machining and Operating Rate given Minimum Production Cost?

The Machining and Operating Rate given Minimum Production Cost is a method to determine the maximum amount that can be spent on Machining and Operating when the resources to be used are strictly bounded and is represented as R = C_p/(t_s+(K*((T/L)^n)/(V*(1-n)))) or Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))). Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process, Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component, Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter", Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.

How to calculate Machining and Operating Rate given Minimum Production Cost?

The Machining and Operating Rate given Minimum Production Cost is a method to determine the maximum amount that can be spent on Machining and Operating when the resources to be used are strictly bounded is calculated using Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))). To calculate Machining and Operating Rate given Minimum Production Cost, you need Production Cost of Each Component (C_p), Setup Time (t_s), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V). With our tool, you need to enter the respective value for Production Cost of Each Component, Setup Time, Constant For Machining Condition, Tool Life, Reference Tool Life, Taylor's Tool Life Exponent & Reference Cutting Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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