Machining and Operating Rate given Tool Changing Cost Calculator

✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of a Tool [C_t]			+10% -10%
✖The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.ⓘ Cost of changing each Tool [C_CT]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_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 given Tool Changing Cost [M]

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Formula

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Machining and Operating Rate given Tool Changing Cost

Formula

`"M" = (("C"_{"t"}+"C"_{"CT"})/(("T"_{"ref"}*("n"_{"h"}/("n"_{"h"}-1))*(("V"_{"ref"}/"V")^(1/"n"_{"h"})))-"t"_{"c"}))`

Example

`"0.001075"=(("100"+"25")/(("12000min"*("1.55"/("1.55"-1))*(("5m/min"/"7m/s")^(1/"1.55")))-"1.5min"))`

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Machining and Operating Rate given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
M = ((C_t+C_CT)/((T_ref*(n_h/(n_h-1))*((V_ref/V)^(1/n_h)))-t_c))
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 for minimum production cost.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
Cost of changing each Tool - The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.
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: 100 --> No Conversion Required
Cost of changing each Tool: 25 --> No Conversion Required
Reference Tool Life: 12000 Minute --> 720000 Second (Check conversion here)
Taylor's Tool Life Exponent for Hard Material: 1.55 --> No Conversion Required
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 7 Meter per Second --> 7 Meter per Second No Conversion Required
Time to Change One Tool: 1.5 Minute --> 90 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = ((C_t+C_CT)/((T_ref*(n_h/(n_h-1))*((V_ref/V)^(1/n_h)))-t_c)) --> ((100+25)/((720000*(1.55/(1.55-1))*((0.0833333333333333/7)^(1/1.55)))-90))

Evaluating ... ...

M = 0.00107501626214968

STEP 3: Convert Result to Output's Unit

0.00107501626214968 --> No Conversion Required

FINAL ANSWER

0.00107501626214968 ≈ 0.001075 <-- 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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< 20 Minimum Production Cost Calculators

Machining and Operating Rate given Tool Changing Cost

Go 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))

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))

Cost of One Tool given Cutting Velocity

Go Cost of a Tool = Machining and Operating Rate*((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)

Tool Changing Time for each Tool given Cutting Velocity

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

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)

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)

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)

Cost of One Tool for Minimum Production Cost given cutting speed

Go Cost of a Tool = Machining and Operating Rate*((Reference Tool Life*(Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))-Time to Change One Tool)

Cost to change One Tool given Cutting Velocity

Go Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)

Cutting Velocity for Minimum Production Cost given Tool Changing 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 changing each Tool+Cost of a Tool)))^Taylor's Tool Life Exponent)

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

Go 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))

Tool Life for Minimum Production Cost

Go Tool Life For Minimum Production Cost = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))/Taylor's Tool Life Exponent

Tool Life for Minimum Production Cost given Tool Changing Cost

Go Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool)

Tool Changing Time for each Tool given Tool Life and tool cost

Go Time to Change Each Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)

Cost to change One Tool given Tool Life

Go Cost of changing each Tool = Cost of a Tool*(Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-Cost of a Tool

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

Go 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 One Tool for Minimum Production Cost given Tool Changing Cost

Go Cost of a Tool = Machining and Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent))

Cost of One Tool given Tool Life

Go Cost of a Tool = Machining and Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent))

Tool Life for Minimum Production Cost when High-Speed Steel Tool is used

Go Tool Life For High Speed Steel = 7*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))

Tool Life for Minimum Production Cost when Carbide Tool is used

Go Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))

Machining and Operating Rate given Tool Changing 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 given Tool Changing Cost?

Machining and Operating Rate given Tool Changing Cost calculator uses 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)) to calculate the Machining and Operating Rate, The Machining and Operating Rate given Tool Changing Cost 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 Cutting Velocity of Tool. Machining and Operating Rate is denoted by M symbol.

How to calculate Machining and Operating Rate given Tool Changing Cost using this online calculator? To use this online calculator for Machining and Operating Rate given Tool Changing Cost, enter Cost of a Tool (C_t), Cost of changing each Tool (C_CT), Reference Tool Life (T_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 given Tool Changing Cost calculation can be explained with given input values -> -0.338642 = ((100+25)/((720000*(1.55/(1.55-1))*((0.0833333333333333/7)^(1/1.55)))-90)).

FAQ

What is Machining and Operating Rate given Tool Changing Cost?

The Machining and Operating Rate given Tool Changing Cost 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 Cutting Velocity of Tool and is represented as M = ((C_t+C_CT)/((T_ref*(n_h/(n_h-1))*((V_ref/V)^(1/n_h)))-t_c)) or 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)). The Cost of a Tool is simply the cost of one tool being used for machining, The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour, 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 given Tool Changing Cost?

The Machining and Operating Rate given Tool Changing Cost 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 Cutting Velocity of Tool is calculated using 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)). To calculate Machining and Operating Rate given Tool Changing Cost, you need Cost of a Tool (C_t), Cost of changing each Tool (C_CT), Reference Tool Life (T_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, Cost of changing each 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, Cost of changing each 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 1 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))

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