Machining and Operating Rate if cost of changing tool is also considered Calculator

✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%
✖Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.ⓘ Cost of Changing Each Tool [C_ct]			+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%
✖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 Rate For Cost Changing Tool is the money charged for processing on and operating machines per unit time, including overheads for minimum production cost.ⓘ Machining and Operating Rate if cost of changing tool is also considered [M_ct]

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Formula

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Machining and Operating Rate if cost of changing tool is also considered

Formula

M ct = (\frac{C t + C ct}{t c}) \cdot (\frac{1 - n}{2 \cdot n - 1})

Example

6.020565 = (\frac{48 + 9.8}{0.9 min}) \cdot (\frac{1 - 0.540818}{2 \cdot 0.540818 - 1})

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Machining and Operating Rate if cost of changing tool is also considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining Rate For Cost Changing Tool = ((Cost of A Tool+Cost of Changing Each Tool)/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1))
M_ct = ((C_t+C_ct)/t_c)*((1-n)/(2*n-1))
This formula uses 5 Variables

Variables Used

Machining Rate For Cost Changing Tool - Machining Rate For Cost Changing Tool 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.
Cost of Changing Each Tool - Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

STEP 1: Convert Input(s) to Base Unit

Cost of A Tool: 48 --> No Conversion Required
Cost of Changing Each Tool: 9.8 --> No Conversion Required
Time to Change One Tool: 0.9 Minute --> 54 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.540818 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_ct = ((C_t+C_ct)/t_c)*((1-n)/(2*n-1)) --> ((48+9.8)/54)*((1-0.540818)/(2*0.540818-1))

Evaluating ... ...

M_ct = 6.02056454759429

STEP 3: Convert Result to Output's Unit

6.02056454759429 --> No Conversion Required

FINAL ANSWER

6.02056454759429 ≈ 6.020565 <-- Machining Rate For Cost Changing Tool

(Calculation completed in 00.004 seconds)

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

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< 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 if cost of changing tool is also considered 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 if cost of changing tool is also considered?

Machining and Operating Rate if cost of changing tool is also considered calculator uses Machining Rate For Cost Changing Tool = ((Cost of A Tool+Cost of Changing Each Tool)/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)) to calculate the Machining Rate For Cost Changing Tool, The Machining and Operating Rate if cost of changing tool is also considered is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Cost is Minimum in reference to the Tool Life. Machining Rate For Cost Changing Tool is denoted by M_ct symbol.

How to calculate Machining and Operating Rate if cost of changing tool is also considered using this online calculator? To use this online calculator for Machining and Operating Rate if cost of changing tool is also considered, enter Cost of A Tool (C_t), Cost of Changing Each Tool (C_ct), Time to Change One Tool (t_c) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Machining and Operating Rate if cost of changing tool is also considered calculation can be explained with given input values -> 6.020565 = ((48+9.8)/54)*((1-0.540818)/(2*0.540818-1)).

FAQ

What is Machining and Operating Rate if cost of changing tool is also considered?

The Machining and Operating Rate if cost of changing tool is also considered is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Cost is Minimum in reference to the Tool Life and is represented as M_ct = ((C_t+C_ct)/t_c)*((1-n)/(2*n-1)) or Machining Rate For Cost Changing Tool = ((Cost of A Tool+Cost of Changing Each Tool)/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)). Cost of A Tool is simply the cost of one tool being used for machining, Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour, Time to Change One Tool is the measure of time it takes to change one tool during machining & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

How to calculate Machining and Operating Rate if cost of changing tool is also considered?

The Machining and Operating Rate if cost of changing tool is also considered is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Cost is Minimum in reference to the Tool Life is calculated using Machining Rate For Cost Changing Tool = ((Cost of A Tool+Cost of Changing Each Tool)/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)). To calculate Machining and Operating Rate if cost of changing tool is also considered, you need Cost of A Tool (C_t), Cost of Changing Each Tool (C_ct), Time to Change One Tool (t_c) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cost of A Tool, Cost of Changing Each Tool, Time to Change One Tool & Taylor's Tool Life Exponent 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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