Machining and Operating Rate using Minimum Production Cost Calculator

✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖Taylor's Tool Life Exponent For Hard Material is a parameter used in machining operations to describe the relationship between cutting speed and tool life.ⓘ Taylor's Tool Life Exponent For Hard Material [n_h]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%

✖Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads for minimum production cost.ⓘ Machining and Operating Rate using Minimum Production Cost [M]

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Formula

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Machining and Operating Rate using Minimum Production Cost

Formula

M = (\frac{C t}{(L ref \cdot (\frac{n h}{n h - 1}) \cdot {(\frac{V ref}{V})}^{\frac{1}{n h}}) - t c})

Example

0.000821 = (\frac{48}{(8400 min \cdot (\frac{1.55}{1.55 - 1}) \cdot {(\frac{2.996056 m/min}{420 m/min})}^{\frac{1}{1.55}}) - 0.9 min})

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Machining and Operating Rate using Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))
M = (C_t/((L_ref*(n_h/(n_h-1))*(V_ref/V)^(1/n_h))-t_c))
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 for minimum production cost.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition.
Taylor's Tool Life Exponent For Hard Material - Taylor's Tool Life Exponent For Hard Material is a parameter used in machining operations to describe the relationship between cutting speed and tool life.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining condition.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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

Cost of A Tool: 48 --> No Conversion Required
Reference Tool Life: 8400 Minute --> 504000 Second (Check conversion here)
Taylor's Tool Life Exponent For Hard Material: 1.55 --> No Conversion Required
Reference Cutting Velocity: 2.996056 Meter per Minute --> 0.0499342666666667 Meter per Second (Check conversion here)
Cutting Velocity: 420 Meter per Minute --> 7 Meter per Second (Check conversion here)
Time to Change One Tool: 0.9 Minute --> 54 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (C_t/((L_ref*(n_h/(n_h-1))*(V_ref/V)^(1/n_h))-t_c)) --> (48/((504000*(1.55/(1.55-1))*(0.0499342666666667/7)^(1/1.55))-54))

Evaluating ... ...

M = 0.000820748014605173

STEP 3: Convert Result to Output's Unit

0.000820748014605173 --> No Conversion Required

FINAL ANSWER

0.000820748014605173 ≈ 0.000821 <-- 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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< Minimum Production Cost Calculators

Machining and Operating Rate using Minimum Production Cost

Go Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))

Reference Cutting Velocity given Cutting Velocity

Go Reference Cutting Velocity = Cutting Velocity/(((Taylor's Tool Life Exponent*Cost of A Tool*Reference Tool Life)/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)))^Taylor's Tool Life Exponent)

Reference Tool Life given Cutting Velocity

Go Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)/(Taylor's Tool Life Exponent*Cost of A Tool)

Cutting Velocity for Minimum Production Cost

Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Cost of A Tool*Reference Tool Life)/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)))^Taylor's Tool Life Exponent

Machining and Operating Rate using Minimum Production Cost Formula

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 using Minimum Production Cost?

Machining and Operating Rate using Minimum Production Cost calculator uses Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool)) to calculate the Machining And Operating Rate, The Machining and Operating Rate using Minimum Production Cost is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expenses it took to manufacture a complete batch of components, such that the Total Production Cost is Minimum. Machining And Operating Rate is denoted by M symbol.

How to calculate Machining and Operating Rate using Minimum Production Cost using this online calculator? To use this online calculator for Machining and Operating Rate using Minimum Production Cost, enter Cost of A Tool (C_t), Reference Tool Life (L_ref), Taylor's Tool Life Exponent For Hard Material (n_h), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Time to Change One Tool (t_c) and hit the calculate button. Here is how the Machining and Operating Rate using Minimum Production Cost calculation can be explained with given input values -> 0.000821 = (48/((504000*(1.55/(1.55-1))*(0.0499342666666667/7)^(1/1.55))-54)).

FAQ

What is Machining and Operating Rate using Minimum Production Cost?

The Machining and Operating Rate using Minimum Production Cost is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expenses it took to manufacture a complete batch of components, such that the Total Production Cost is Minimum and is represented as M = (C_t/((L_ref*(n_h/(n_h-1))*(V_ref/V)^(1/n_h))-t_c)) or Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool)). Cost of A Tool is simply the cost of one tool being used for machining, Reference Tool Life is the Tool Life of the tool obtained in the reference machining condition, Taylor's Tool Life Exponent For Hard Material is a parameter used in machining operations to describe the relationship between cutting speed and tool life, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & 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 using Minimum Production Cost?

The Machining and Operating Rate using Minimum Production Cost is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expenses it took to manufacture a complete batch of components, such that the Total Production Cost is Minimum is calculated using Machining And Operating Rate = (Cost of A Tool/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool)). To calculate Machining and Operating Rate using Minimum Production Cost, you need Cost of A Tool (C_t), Reference Tool Life (L_ref), Taylor's Tool Life Exponent For Hard Material (n_h), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Time to Change One Tool (t_c). With our tool, you need to enter the respective value for Cost of A Tool, Reference Tool Life, Taylor's Tool Life Exponent For Hard Material, Reference Cutting Velocity, Cutting Velocity & 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 Cost of A Tool, Reference Tool Life, Taylor's Tool Life Exponent For Hard Material, Reference Cutting Velocity, Cutting Velocity & Time to Change One Tool. We can use 2 other way(s) to calculate the same, which is/are as follows -

Machining And Operating Rate = (Cost of A Tool/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1))
Machining And Operating Rate = ((Cost of A Tool+Cost of Changing Each Tool)/((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool))

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