Machining Time of one product given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size
tm = Nt*(Tref*((Vref/V)^(1/n)))/Nb
This formula uses 7 Variables
Variables Used
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.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
STEP 1: Convert Input(s) to Base Unit
Number of Tools Used: 3 --> No Conversion Required
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 550 Meter per Minute --> 9.16666666666667 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tm = Nt*(Tref*((Vref/V)^(1/n)))/Nb --> 3*(72000*((0.0833333333333333/9.16666666666667)^(1/0.55)))/2
Evaluating ... ...
tm = 20.9797684939807
STEP 3: Convert Result to Output's Unit
20.9797684939807 Second -->0.349662808233011 Minute (Check conversion here)
FINAL ANSWER
0.349662808233011 โ‰ˆ 0.349663 Minute <-- Machining Time
(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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National Institute of Technology (NIT), Srinagar
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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

Machining Time of one product given Production Batch and Machining Conditions Formula

Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size
tm = Nt*(Tref*((Vref/V)^(1/n)))/Nb

Necessity Of Estimation Of Machining Time

The major aim and objectives in machining industries generally are;
1. Reduction of total manufacturing time
2. Increase in MRR, i.e., productivity
3. Reduction in machining cost without sacrificing product quality
4. Increase in profit or profit rate, i.e., profitability.

How to Calculate Machining Time of one product given Production Batch and Machining Conditions?

Machining Time of one product given Production Batch and Machining Conditions calculator uses Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size to calculate the Machining Time, The Machining Time of one product given Production Batch and Machining Conditions is a method to determine the maximum time for which a single component can be machined during the manufacturing of a batch when the tools are operated under a given condition. Machining Time is denoted by tm symbol.

How to calculate Machining Time of one product given Production Batch and Machining Conditions using this online calculator? To use this online calculator for Machining Time of one product given Production Batch and Machining Conditions, enter Number of Tools Used (Nt), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Batch Size (Nb) and hit the calculate button. Here is how the Machining Time of one product given Production Batch and Machining Conditions calculation can be explained with given input values -> 0.005828 = 3*(72000*((0.0833333333333333/9.16666666666667)^(1/0.55)))/2 .

FAQ

What is Machining Time of one product given Production Batch and Machining Conditions?
The Machining Time of one product given Production Batch and Machining Conditions is a method to determine the maximum time for which a single component can be machined during the manufacturing of a batch when the tools are operated under a given condition and is represented as tm = Nt*(Tref*((Vref/V)^(1/n)))/Nb or Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size. The Number of Tools Used is the total number of tools used for manufacturing a batch of products, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, 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 & Batch Size is the count of similar kinds of products to be manufactured.
How to calculate Machining Time of one product given Production Batch and Machining Conditions?
The Machining Time of one product given Production Batch and Machining Conditions is a method to determine the maximum time for which a single component can be machined during the manufacturing of a batch when the tools are operated under a given condition is calculated using Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size. To calculate Machining Time of one product given Production Batch and Machining Conditions, you need Number of Tools Used (Nt), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Batch Size (Nb). With our tool, you need to enter the respective value for Number of Tools Used, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Batch Size 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 Machining Time?
In this formula, Machining Time uses Number of Tools Used, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Batch Size. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Machining Time = Number of Tools Used*Tool Life/Batch Size
  • Machining Time = Constant For Machining Condition/Cutting Velocity
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