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))^Taylor's Tool Life Exponent)
V = Vref*(((Tref*Nt)/(Nb*tm))^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 - (Measured in Second) - Machining Time 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: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Number of Tools Used: 3 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Machining Time: 0.5 Minute --> 30 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Vref*(((Tref*Nt)/(Nb*tm))^n) --> 0.0833333333333333*(((72000*3)/(2*30))^0.55)
Evaluating ... ...
V = 7.52982927307461
STEP 3: Convert Result to Output's Unit
7.52982927307461 Meter per Second -->451.789756384477 Meter per Minute (Check conversion here)
FINAL ANSWER
451.789756384477 โ‰ˆ 451.7898 Meter per Minute <-- Cutting Velocity
(Calculation completed in 00.004 seconds)

Credits

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
Parul Keshav has verified this Calculator and 400+ more calculators!

18 Tool Life and Production Batch Calculators

Taylor's Tool Life Exponent given Production Batch and Machining Conditions
Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))
Machining Time of one product given Production Batch and Machining Conditions
Go Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size
Number of Tools Used given Machining Time and Conditions
Go Number of Tools Used = Machining Time*Batch Size/(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))
Batch Size given Machining Time and Conditions
Go Batch Size = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Machining Time
Reference Cutting Velocity given Production Batch and Machining Conditions
Go Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent)
Reference Tool Life given Production Batch and Machining Conditions
Go Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used
Cutting Velocity given Production Batch and Machining Conditions
Go Cutting Velocity = Reference Cutting Velocity*(((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))^Taylor's Tool Life Exponent)
Diameter of workpiece given Constant for Cylindrical Turning
Go Diameter of Workpiece = Constant For Machining Condition*Feed/(pi*Length of Cut)
Turning Length given Constant for Cylindrical Turning
Go Length of Cut = Constant For Machining Condition*Feed/(pi*Diameter of Workpiece)
Feed given Constant for Cylindrical Turning
Go Feed = pi*Diameter of Workpiece*Length of Cut/Constant For Machining Condition
Constant for given Cylindrical Turning
Go Constant For Machining Condition = pi*Diameter of Workpiece*Length of Cut/Feed
Tool Life given Batch Size and Number of Tools
Go Tool Life = Machining Time*Batch Size/Number of Tools Used
Machining Time of One Product using Tool Life
Go Machining Time = Number of Tools Used*Tool Life/Batch Size
Batch Size using Tool Life and Machining Time
Go Batch Size = Number of Tools Used*Tool Life/Machining Time
Number of Tools Used given Tool Life
Go Number of Tools Used = Machining Time*Batch Size/Tool Life
Cutting Velocity of one product given Constant for Machining Operation
Go Cutting Velocity = Constant For Machining Condition/Machining Time
Constant for Machining Operation of one product given Machining Condition
Go Constant For Machining Condition = Machining Time*Cutting Velocity
Machining Time of one product given Constant for Machining Operation
Go Machining Time = Constant For Machining Condition/Cutting Velocity

Cutting Velocity given Production Batch and Machining Conditions Formula

Cutting Velocity = Reference Cutting Velocity*(((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))^Taylor's Tool Life Exponent)
V = Vref*(((Tref*Nt)/(Nb*tm))^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))^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 (Tref), Number of Tools Used (Nt), Batch Size (Nb), Machining Time (tm) & 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 -> 27107.39 = 0.0833333333333333*(((72000*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*(((Tref*Nt)/(Nb*tm))^n) or Cutting Velocity = Reference Cutting Velocity*(((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))^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 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))^Taylor's Tool Life Exponent). To calculate Cutting Velocity given Production Batch and Machining Conditions, you need Reference Cutting Velocity (Vref), Reference Tool Life (Tref), Number of Tools Used (Nt), Batch Size (Nb), Machining Time (tm) & 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 & 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 & 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
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!