Machining and Operating Rate using Minimum Production Cost and Minimum Production time Calculator

✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+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 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 and Minimum Production time [M]

⎘ Copy

👎

Formula

✖

Machining and Operating Rate using Minimum Production Cost and Minimum Production time

Formula

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

Example

4.999777 = (\frac{48}{0.9 min}) \cdot (\frac{1 - 0.540818}{2 \cdot 0.540818 - 1})

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Machining and Operating Rate using Minimum Production Cost and Minimum Production time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
M = (C_t/t_c)*((1-n)/(2*n-1))
This formula uses 4 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.
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
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 = (C_t/t_c)*((1-n)/(2*n-1)) --> (48/54)*((1-0.540818)/(2*0.540818-1))

Evaluating ... ...

M = 4.99977678692951

STEP 3: Convert Result to Output's Unit

4.99977678692951 --> No Conversion Required

FINAL ANSWER

4.99977678692951 ≈ 4.999777 <-- Machining And Operating Rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Economics » Production Cost » Minimum Production Cost » Machining and Operating Rate using Minimum Production Cost and Minimum Production time

Credits

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 and Minimum Production time Formula

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))
M = (C_t/t_c)*((1-n)/(2*n-1))

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 and Minimum Production time?

Machining and Operating Rate using Minimum Production Cost and Minimum Production time calculator uses 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)) to calculate the Machining And Operating Rate, Machining and Operating Rate using Minimum Production Cost and Minimum Production time 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 and Minimum Production time using this online calculator? To use this online calculator for Machining and Operating Rate using Minimum Production Cost and Minimum Production time, enter Cost of A Tool (C_t), 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 using Minimum Production Cost and Minimum Production time calculation can be explained with given input values -> 4.999777 = (48/54)*((1-0.540818)/(2*0.540818-1)).

FAQ

What is Machining and Operating Rate using Minimum Production Cost and Minimum Production time?

Machining and Operating Rate using Minimum Production Cost and Minimum Production time 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/t_c)*((1-n)/(2*n-1)) or 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)). Cost of A Tool is simply the cost of one tool being used for machining, 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 using Minimum Production Cost and Minimum Production time?

Machining and Operating Rate using Minimum Production Cost and Minimum Production time 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/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1)). To calculate Machining and Operating Rate using Minimum Production Cost and Minimum Production time, you need Cost of A Tool (C_t), 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, 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.

How many ways are there to calculate Machining And Operating Rate?

In this formula, Machining And Operating Rate uses Cost of A Tool, Time to Change One Tool & Taylor's Tool Life Exponent. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

Home

FREE PDFs

🔍 Search