✖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%
✖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 in Minimum Time [M_min]			+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%
✖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%

✖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 given Tool Changing Cost [V_p]

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Cutting Velocity for Minimum Production Time given Tool Changing Cost

Formula

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

Example

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

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Cutting Velocity for Minimum Production Time given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_p = V_ref*((n_mpt*M_min*L_ref/((1-n_mpt)*C_ct))^n_mpt)
This formula uses 6 Variables

Variables Used

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.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.

STEP 1: Convert Input(s) to Base Unit

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
Machining And Operating Rate in Minimum Time: 0.35 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Cost of Changing Each Tool: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_p = V_ref*((n_mpt*M_min*L_ref/((1-n_mpt)*C_ct))^n_mpt) --> 0.083*((0.5*0.35*103716.2/((1-0.5)*7))^0.5)

Evaluating ... ...

V_p = 5.97704317284056

STEP 3: Convert Result to Output's Unit

5.97704317284056 Meter per Second --> No Conversion Required

FINAL ANSWER

5.97704317284056 ≈ 5.977043 Meter per Second <-- Cutting Velocity For Minimum Production Time

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Time » Minimum Production Time » Cutting Velocity for Minimum Production Time given Tool Changing Cost

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Created by Kumar Siddhant

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

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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

Cutting Velocity for Minimum Production Time given Tool Changing Cost Formula

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost?

Cutting Velocity for Minimum Production Time given Tool Changing Cost calculator uses 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) to calculate the Cutting Velocity For Minimum Production Time, The Cutting Velocity for Minimum Production Time given Tool Changing Cost is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum. Cutting Velocity For Minimum Production Time is denoted by V_p symbol.

How to calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost using this online calculator? To use this online calculator for Cutting Velocity for Minimum Production Time given Tool Changing Cost, enter Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref) & Cost of Changing Each Tool (C_ct) and hit the calculate button. Here is how the Cutting Velocity for Minimum Production Time given Tool Changing Cost calculation can be explained with given input values -> 0.25432 = 0.083*((0.5*0.35*103716.2/((1-0.5)*7))^0.5).

FAQ

What is Cutting Velocity for Minimum Production Time given Tool Changing Cost?

The Cutting Velocity for Minimum Production Time given Tool Changing Cost is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum and is represented as V_p = V_ref*((n_mpt*M_min*L_ref/((1-n_mpt)*C_ct))^n_mpt) or 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). 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, Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition & 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.

How to calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost?

The Cutting Velocity for Minimum Production Time given Tool Changing Cost is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum is calculated using 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). To calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost, you need Reference Cutting Velocity (V_ref), Taylor's Exponent For Minimum Production Time (n_mpt), Machining And Operating Rate in Minimum Time (M_min), Reference Tool Life (L_ref) & Cost of Changing Each Tool (C_ct). With our tool, you need to enter the respective value for Reference Cutting Velocity, Taylor's Exponent For Minimum Production Time, Machining And Operating Rate in Minimum Time, Reference Tool Life & Cost of Changing Each 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 Cutting Velocity For Minimum Production Time?

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

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)

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