✖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%
✖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%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.ⓘ Time to Change Tool For Minimum Production Time [t_ct]			+10% -10%

✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity using Minimum Production Time [V_ref]

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Formula

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Reference Cutting Velocity using Minimum Production Time

Formula

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

Example

`"0.083m/s"="5.977043m/s"/((".5"*"103716.2s"/((1-".5")*"20s"))^".5")`

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Reference Cutting Velocity using Minimum Production Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_ref = V_p/((n_mpt*L_ref/((1-n_mpt)*t_ct))^n_mpt)
This formula uses 5 Variables

Variables Used

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 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.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Time to Change Tool For Minimum Production Time - (Measured in Second) - Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.

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
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Time to Change Tool For Minimum Production Time: 20 Second --> 20 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ref = V_p/((n_mpt*L_ref/((1-n_mpt)*t_ct))^n_mpt) --> 5.977043/((0.5*103716.2/((1-0.5)*20))^0.5)

Evaluating ... ...

V_ref = 0.0829999975998556

STEP 3: Convert Result to Output's Unit

0.0829999975998556 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0829999975998556 ≈ 0.083 Meter per Second <-- Reference Cutting Velocity

(Calculation completed in 00.020 seconds)

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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

Reference Cutting Velocity using Minimum Production Time Formula

What is Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate Reference Cutting Velocity using Minimum Production Time?

Reference Cutting Velocity using Minimum Production Time calculator uses 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) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum. Reference Cutting Velocity is denoted by V_ref symbol.

How to calculate Reference Cutting Velocity using Minimum Production Time using this online calculator? To use this online calculator for Reference Cutting Velocity using Minimum Production Time, enter Cutting Velocity For Minimum Production Time (V_p), Taylor's Exponent For Minimum Production Time (n_mpt), Reference Tool Life (L_ref) & Time to Change Tool For Minimum Production Time (t_ct) and hit the calculate button. Here is how the Reference Cutting Velocity using Minimum Production Time calculation can be explained with given input values -> 0.003532 = 5.977043/((0.5*103716.2/((1-0.5)*20))^0.5).

FAQ

What is Reference Cutting Velocity using Minimum Production Time?

The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum and is represented as V_ref = V_p/((n_mpt*L_ref/((1-n_mpt)*t_ct))^n_mpt) or 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). 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, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition & Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.

How to calculate Reference Cutting Velocity using Minimum Production Time?

The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum is calculated using 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). To calculate Reference Cutting Velocity using Minimum Production Time, you need Cutting Velocity For Minimum Production Time (V_p), Taylor's Exponent For Minimum Production Time (n_mpt), Reference Tool Life (L_ref) & Time to Change Tool For Minimum Production Time (t_ct). With our tool, you need to enter the respective value for Cutting Velocity For Minimum Production Time, Taylor's Exponent For Minimum Production Time, Reference Tool Life & Time to Change Tool For Minimum Production Time 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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