Cutting Velocity given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = Reference Cutting Velocity*((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production))^Taylor's Tool Life Exponent
V = Vref*((Lref*Nt)/(Nb*tb))^n
This formula uses 7 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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Machining Time For Tool Life Production - (Measured in Second) - Machining Time For Tool Life Production is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
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
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Number of Tools Used: 3 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Machining Time For Tool Life Production: 30 Second --> 30 Second No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Vref*((Lref*Nt)/(Nb*tb))^n --> 0.083*((103716.2*3)/(2*30))^0.55
Evaluating ... ...
V = 9.16699982046418
STEP 3: Convert Result to Output's Unit
9.16699982046418 Meter per Second --> No Conversion Required
FINAL ANSWER
9.16699982046418 9.167 Meter per Second <-- 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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Number of Tools Used given Tool Life
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Cutting Velocity given Production Batch and Machining Conditions Formula

​LaTeX ​Go
Cutting Velocity = Reference Cutting Velocity*((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production))^Taylor's Tool Life Exponent
V = Vref*((Lref*Nt)/(Nb*tb))^n

What is a 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 Cutting Velocity given Production Batch and Machining Conditions?

Cutting Velocity given Production Batch and Machining Conditions calculator uses Cutting Velocity = Reference Cutting Velocity*((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production))^Taylor's Tool Life Exponent to calculate the Cutting Velocity, The Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference condition to manufacture a given batch of components. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Velocity given Production Batch and Machining Conditions using this online calculator? To use this online calculator for Cutting Velocity given Production Batch and Machining Conditions, enter Reference Cutting Velocity (Vref), Reference Tool Life (Lref), Number of Tools Used (Nt), Batch Size (Nb), Machining Time For Tool Life Production (tb) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Cutting Velocity given Production Batch and Machining Conditions calculation can be explained with given input values -> 9.167 = 0.083*((103716.2*3)/(2*30))^0.55.

FAQ

What is Cutting Velocity given Production Batch and Machining Conditions?
The Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference condition to manufacture a given batch of components and is represented as V = Vref*((Lref*Nt)/(Nb*tb))^n or Cutting Velocity = Reference Cutting Velocity*((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production))^Taylor's Tool Life Exponent. Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, The Number of Tools Used is the total number of tools used for manufacturing a batch of products, Batch Size is the count of similar kinds of products to be manufactured, Machining Time For Tool Life Production is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
How to calculate Cutting Velocity given Production Batch and Machining Conditions?
The Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference condition to manufacture a given batch of components is calculated using Cutting Velocity = Reference Cutting Velocity*((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time For Tool Life Production))^Taylor's Tool Life Exponent. To calculate Cutting Velocity given Production Batch and Machining Conditions, you need Reference Cutting Velocity (Vref), Reference Tool Life (Lref), Number of Tools Used (Nt), Batch Size (Nb), Machining Time For Tool Life Production (tb) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Reference Cutting Velocity, Reference Tool Life, Number of Tools Used, Batch Size, Machining Time For Tool Life Production & 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 Cutting Velocity?
In this formula, Cutting Velocity uses Reference Cutting Velocity, Reference Tool Life, Number of Tools Used, Batch Size, Machining Time For Tool Life Production & Taylor's Tool Life Exponent. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = Constant For Machining Condition/Machining Time For Tool Life Production
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