✖Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum.ⓘ Cutting Velocity For Minimum Production Time [V_p]			+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%
✖Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Exponent For Minimum Production Time [n_mpt]			+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%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [L_ref]			+10% -10%

✖Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate given Tool Changing Cost and Cutting Velocity [M_min]

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Formula

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Machining and Operating Rate given Tool Changing Cost and Cutting Velocity

Formula

`"M"_{"min"} = (("V"_{"p"}/"V"_{"ref"})^(1/"n"_{"mpt"}))*(1-"n"_{"mpt"})*"C"_{"ct"}/("n"_{"mpt"}*"L"_{"ref"})`

Example

`"0.35"=(("5.977043m/s"/".083m/s")^(1/".5"))*(1-".5")*"7"/(".5"*"103716.2s")`

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Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life)
M_min = ((V_p/V_ref)^(1/n_mpt))*(1-n_mpt)*C_ct/(n_mpt*L_ref)
This formula uses 6 Variables

Variables Used

Machining And Operating Rate in Minimum Time - Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.
Cutting Velocity For Minimum Production Time - (Measured in Meter per Second) - Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Taylor's Exponent For Minimum Production Time - Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.

STEP 1: Convert Input(s) to Base Unit

Cutting Velocity For Minimum Production Time: 5.977043 Meter per Second --> 5.977043 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Cost of Changing Each Tool: 7 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_min = ((V_p/V_ref)^(1/n_mpt))*(1-n_mpt)*C_ct/(n_mpt*L_ref) --> ((5.977043/0.083)^(1/0.5))*(1-0.5)*7/(0.5*103716.2)

Evaluating ... ...

M_min = 0.349999979757818

STEP 3: Convert Result to Output's Unit

0.349999979757818 --> No Conversion Required

FINAL ANSWER

0.349999979757818 ≈ 0.35 <-- Machining And Operating Rate in Minimum Time

(Calculation completed in 00.004 seconds)

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< 12 Minimum Production Time Calculators

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity

Go Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life)

Cost to change One Tool given min production time

Go Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))

Cutting Velocity for Minimum Production Time given Tool Changing Cost

Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool))^Taylor's Exponent For Minimum Production Time)

Tool Changing Time for each Tool given min production time

Go Time to Change Tool For Minimum Production Time = (Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))

Reference Cutting Velocity using Minimum Production Time

Go Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Reference Tool Life given Min Production time

Go Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time

Cutting Velocity for Minimum Production Time

Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Machining and Operating Rate given Tool Changing Cost and Tool Life

Go Machining And Operating Rate in Minimum Time = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Tool Life)

Tool Life for Minimum Production Time given Tool Changing Cost

Go Tool Life = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time)

Tool Changing Time for each Tool given Tool Life

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

Taylor's Tool Life Exponent given Tool Life

Go Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life)

Tool Life for Minimum Production Time

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

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

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity calculator uses Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life) to calculate the Machining And Operating Rate in Minimum Time, The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool. Machining And Operating Rate in Minimum Time is denoted by M_min symbol.

How to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity using this online calculator? To use this online calculator for Machining and Operating Rate given Tool Changing Cost and Cutting Velocity, enter Cutting Velocity For Minimum Production Time (V_p), Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Cost of Changing Each Tool (C_ct) & Reference Tool Life (L_ref) and hit the calculate button. Here is how the Machining and Operating Rate given Tool Changing Cost and Cutting Velocity calculation can be explained with given input values -> 193.3213 = ((5.977043/0.083)^(1/0.5))*(1-0.5)*7/(0.5*103716.2).

FAQ

What is Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool and is represented as M_min = ((V_p/V_ref)^(1/n_mpt))*(1-n_mpt)*C_ct/(n_mpt*L_ref) or Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life). Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear, 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 & Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.

How to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool is calculated using Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life). To calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity, you need Cutting Velocity For Minimum Production Time (V_p), Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Cost of Changing Each Tool (C_ct) & Reference Tool Life (L_ref). With our tool, you need to enter the respective value for Cutting Velocity For Minimum Production Time, Reference Cutting Velocity, Taylor's Exponent For Minimum Production Time, Cost of Changing Each Tool & Reference Tool Life 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 Minimum Time?

In this formula, Machining And Operating Rate in Minimum Time uses Cutting Velocity For Minimum Production Time, Reference Cutting Velocity, Taylor's Exponent For Minimum Production Time, Cost of Changing Each Tool & Reference Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -

Machining And Operating Rate in Minimum Time = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Tool Life)

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