Reference Cutting Velocity given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent)
Vref = V*(((Nb*tm)/(Tref*Nt))^n)
This formula uses 7 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).
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.
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.
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
Cutting Velocity: 550 Meter per Minute --> 9.16666666666667 Meter per Second (Check conversion here)
Batch Size: 2 --> No Conversion Required
Machining Time: 0.5 Minute --> 30 Second (Check conversion here)
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Number of Tools Used: 3 --> No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vref = V*(((Nb*tm)/(Tref*Nt))^n) --> 9.16666666666667*(((2*30)/(72000*3))^0.55)
Evaluating ... ...
Vref = 0.101448367710066
STEP 3: Convert Result to Output's Unit
0.101448367710066 Meter per Second -->6.08690206260393 Meter per Minute (Check conversion here)
FINAL ANSWER
6.08690206260393 โ‰ˆ 6.086902 Meter per Minute <-- Reference Cutting Velocity
(Calculation completed in 00.004 seconds)

Credits

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

Reference Cutting Velocity given Production Batch and Machining Conditions Formula

Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent)
Vref = V*(((Nb*tm)/(Tref*Nt))^n)

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 Production Batch and Machining Conditions?

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

How to calculate Reference Cutting Velocity given Production Batch and Machining Conditions using this online calculator? To use this online calculator for Reference Cutting Velocity given Production Batch and Machining Conditions, enter Cutting Velocity (V), Batch Size (Nb), Machining Time (tm), Reference Tool Life (Tref), Number of Tools Used (Nt) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Cutting Velocity given Production Batch and Machining Conditions calculation can be explained with given input values -> 365.2141 = 9.16666666666667*(((2*30)/(72000*3))^0.55).

FAQ

What is Reference Cutting Velocity given Production Batch and Machining Conditions?
The Reference Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the optimal Cutting Velocity required for a given Tool Life in a reference machining condition to manufacture a given batch of components and is represented as Vref = V*(((Nb*tm)/(Tref*Nt))^n) or Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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, 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 & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
How to calculate Reference Cutting Velocity given Production Batch and Machining Conditions?
The Reference Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the optimal Cutting Velocity required for a given Tool Life in a reference machining condition to manufacture a given batch of components is calculated using Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent). To calculate Reference Cutting Velocity given Production Batch and Machining Conditions, you need Cutting Velocity (V), Batch Size (Nb), Machining Time (tm), Reference Tool Life (Tref), Number of Tools Used (Nt) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cutting Velocity, Batch Size, Machining Time, Reference Tool Life, Number of Tools Used & 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.
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