Cutting Velocity for Minimum Production Cost given Tool Changing Cost Calculator

✖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 Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+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%

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity for Minimum Production Cost given Tool Changing Cost [V]

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Cutting Velocity for Minimum Production Cost given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = V_ref*((n*C_t*L_ref)/((1-n)*(C_ct+C_t)))^n
This formula uses 6 Variables

Variables Used

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).
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 Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
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: 2.996056 Meter per Minute --> 0.0499342666666667 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.540818 --> No Conversion Required
Cost of A Tool: 48 --> No Conversion Required
Reference Tool Life: 8400 Minute --> 504000 Second (Check conversion here)
Cost of Changing Each Tool: 9.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = V_ref*((n*C_t*L_ref)/((1-n)*(C_ct+C_t)))^n --> 0.0499342666666667*((0.540818*48*504000)/((1-0.540818)*(9.8+48)))^0.540818

Evaluating ... ...

V = 59.8649897686221

STEP 3: Convert Result to Output's Unit

59.8649897686221 Meter per Second -->3591.89938611733 Meter per Minute (Check conversion here)

FINAL ANSWER

3591.89938611733 ≈ 3591.899 Meter per Minute <-- Cutting Velocity

(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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National Institute of Technology (NIT), Srinagar

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< Minimum Production Cost Calculators

Machining and Operating Rate using Minimum Production Cost

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

Cutting Velocity for Minimum Production Cost given Tool Changing Cost Formula

LaTeX Go

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 Cost given Tool Changing Cost?

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

How to calculate Cutting Velocity for Minimum Production Cost given Tool Changing Cost using this online calculator? To use this online calculator for Cutting Velocity for Minimum Production Cost given Tool Changing Cost, enter Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t), 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 Cost given Tool Changing Cost calculation can be explained with given input values -> 215514 = 0.0499342666666667*((0.540818*48*504000)/((1-0.540818)*(9.8+48)))^0.540818.

FAQ

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

The Cutting Velocity for Minimum Production Cost given Tool Changing Cost is a method to determine the Cutting Velocity required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum and is represented as V = V_ref*((n*C_t*L_ref)/((1-n)*(C_ct+C_t)))^n or 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. Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining condition, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, Cost of A Tool is simply the cost of one tool being used for machining, 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 Cost given Tool Changing Cost?

The Cutting Velocity for Minimum Production Cost given Tool Changing Cost is a method to determine the Cutting Velocity required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum is calculated using 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. To calculate Cutting Velocity for Minimum Production Cost given Tool Changing Cost, you need Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t), 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 Tool Life Exponent, Cost of A Tool, 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?

In this formula, Cutting Velocity uses Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of A Tool, 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 = 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

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