Cost to change One Tool given Cutting Velocity Calculator

✖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%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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 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 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 to change One Tool given Cutting Velocity [C_ct]

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Cost to change One Tool given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cost of A Tool: 48 --> No Conversion Required
Reference Tool Life: 8400 Minute --> 504000 Second (Check conversion here)
Cutting Velocity: 420 Meter per Minute --> 7 Meter per Second (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_ct = (C_t*L_ref/(((V/V_ref)^(1/n))*(1-n)/n))-C_t --> (48*504000/(((7/0.0499342666666667)^(1/0.540818))*(1-0.540818)/0.540818))-48

Evaluating ... ...

C_ct = 3009.60728084154

STEP 3: Convert Result to Output's Unit

3009.60728084154 --> No Conversion Required

FINAL ANSWER

3009.60728084154 ≈ 3009.607 <-- Cost of Changing Each Tool

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

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

Cost to change One Tool given Cutting Velocity Formula

LaTeX Go

How is Tool-Changing Cost generated?

The tool-changing cost is generated on the processes that basically include changing or re-sharpening the tool. These do not result in any productivity or profit whatsoever. But as the time is consumed by the operator to perform these tasks, when paid by the hour, the operators cost plants this time too.

How to Calculate Cost to change One Tool given Cutting Velocity?

Cost to change One Tool given Cutting Velocity calculator uses 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 to calculate the Cost of Changing Each Tool, Cost to change One Tool given Cutting Velocity is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Cost. Cost of Changing Each Tool is denoted by C_ct symbol.

How to calculate Cost to change One Tool given Cutting Velocity using this online calculator? To use this online calculator for Cost to change One Tool given Cutting Velocity, enter Cost of A Tool (C_t), Reference Tool Life (L_ref), Cutting Velocity (V), Reference Cutting Velocity (V_ref) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Cost to change One Tool given Cutting Velocity calculation can be explained with given input values -> 3009.607 = (48*504000/(((7/0.0499342666666667)^(1/0.540818))*(1-0.540818)/0.540818))-48.

FAQ

What is Cost to change One Tool given Cutting Velocity?

Cost to change One Tool given Cutting Velocity is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Cost and is represented as C_ct = (C_t*L_ref/(((V/V_ref)^(1/n))*(1-n)/n))-C_t or 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. 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, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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.

How to calculate Cost to change One Tool given Cutting Velocity?

Cost to change One Tool given Cutting Velocity is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Cost is calculated using 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. To calculate Cost to change One Tool given Cutting Velocity, you need Cost of A Tool (C_t), Reference Tool Life (L_ref), Cutting Velocity (V), Reference Cutting Velocity (V_ref) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cost of A Tool, Reference Tool Life, Cutting Velocity, Reference Cutting Velocity & Taylor's Tool Life Exponent 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 Cost of Changing Each Tool?

In this formula, Cost of Changing Each Tool uses Cost of A Tool, Reference Tool Life, Cutting Velocity, Reference Cutting Velocity & Taylor's Tool Life Exponent. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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