Reference Cutting Velocity given Cutting Velocity Calculator

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%

✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining condition.ⓘ Reference Cutting Velocity given Cutting Velocity [V_ref]

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Reference Cutting Velocity given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_ref = V/(((n*C_t*L_ref)/((1-n)*(C_t*t_c+C_t)))^n)
This formula uses 6 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 - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.

STEP 1: Convert Input(s) to Base Unit

Cutting Velocity: 420 Meter per Minute --> 7 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)
Time to Change One Tool: 0.9 Minute --> 54 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ref = V/(((n*C_t*L_ref)/((1-n)*(C_t*t_c+C_t)))^n) --> 7/(((0.540818*48*504000)/((1-0.540818)*(48*54+48)))^0.540818)

Evaluating ... ...

V_ref = 0.0461218274224771

STEP 3: Convert Result to Output's Unit

0.0461218274224771 Meter per Second -->2.76730964534863 Meter per Minute (Check conversion here)

FINAL ANSWER

2.76730964534863 ≈ 2.76731 Meter per Minute <-- Reference Cutting Velocity

(Calculation completed in 00.020 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

Reference Cutting Velocity given Cutting Velocity Formula

LaTeX Go

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 given Cutting Velocity?

Reference Cutting Velocity given Cutting Velocity calculator uses 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) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity given Cutting Velocity formula 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 Cost is minimum. Reference Cutting Velocity is denoted by V_ref symbol.

How to calculate Reference Cutting Velocity given Cutting Velocity using this online calculator? To use this online calculator for Reference Cutting Velocity given Cutting Velocity, enter Cutting Velocity (V), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t), Reference Tool Life (L_ref) & Time to Change One Tool (t_c) and hit the calculate button. Here is how the Reference Cutting Velocity given Cutting Velocity calculation can be explained with given input values -> 136.91 = 7/(((0.540818*48*504000)/((1-0.540818)*(48*54+48)))^0.540818).

FAQ

What is Reference Cutting Velocity given Cutting Velocity?

The Reference Cutting Velocity given Cutting Velocity formula 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 Cost is minimum and is represented as V_ref = V/(((n*C_t*L_ref)/((1-n)*(C_t*t_c+C_t)))^n) or 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). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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 & Time to Change One Tool is the measure of time it takes to change one tool during machining.

How to calculate Reference Cutting Velocity given Cutting Velocity?

The Reference Cutting Velocity given Cutting Velocity formula 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 Cost is minimum is calculated using 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). To calculate Reference Cutting Velocity given Cutting Velocity, you need Cutting Velocity (V), Taylor's Tool Life Exponent (n), Cost of A Tool (C_t), Reference Tool Life (L_ref) & Time to Change One Tool (t_c). With our tool, you need to enter the respective value for Cutting Velocity, Taylor's Tool Life Exponent, Cost of A Tool, Reference Tool Life & Time to Change One Tool 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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