Batch Size given Machining Time and Conditions Calculator

✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools Used [N_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%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖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%
✖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.ⓘ Machining Time For Tool Life Production [t_b]			+10% -10%

✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size given Machining Time and Conditions [N_b]

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Batch Size given Machining Time and Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Batch Size = Number of Tools Used*(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Machining Time For Tool Life Production
N_b = N_t*(L_ref*(V_ref/V)^(1/n))/t_b
This formula uses 7 Variables

Variables Used

Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Tools Used: 3 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Cutting Velocity: 9.167 Meter per Second --> 9.167 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Machining Time For Tool Life Production: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_b = N_t*(L_ref*(V_ref/V)^(1/n))/t_b --> 3*(103716.2*(0.083/9.167)^(1/0.55))/30

Evaluating ... ...

N_b = 1.99999992878177

STEP 3: Convert Result to Output's Unit

1.99999992878177 --> No Conversion Required

FINAL ANSWER

1.99999992878177 ≈ 2 <-- Batch Size

(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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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Batch Processing Time Calculators

Tool Life given Batch Size and Number of Tools

LaTeX Go Tool Life = Machining Time For Tool Life Production*Batch Size/Number of Tools Used

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LaTeX Go Machining Time For Tool Life Production = Number of Tools Used*Tool Life/Batch Size

Batch Size using Tool Life and Machining Time

LaTeX Go Batch Size = Number of Tools Used*Tool Life/Machining Time For Tool Life Production

Number of Tools Used given Tool Life

LaTeX Go Number of Tools Used = Machining Time For Tool Life Production*Batch Size/Tool Life

Batch Size given Machining Time and Conditions Formula

LaTeX Go

What is Batch Size? What is an Ideal Batch Size?

Batch size is the number of units manufactured in a production run at a time. A batch in production usually comprises identical or at least similar products. An Ideal Batch Size is the one that can cover up the total production cost of the batch including setup and overhead costs and can yield more profit to the firm.

How to Calculate Batch Size given Machining Time and Conditions?

Batch Size given Machining Time and Conditions calculator uses Batch Size = Number of Tools Used*(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Machining Time For Tool Life Production to calculate the Batch Size, The Batch Size given Machining Time and Conditions is a method to determine the maximum number of components that can be manufactured using a given Number of Tools when the conditions under which the tool is being used are known. Batch Size is denoted by N_b symbol.

How to calculate Batch Size given Machining Time and Conditions using this online calculator? To use this online calculator for Batch Size given Machining Time and Conditions, enter Number of Tools Used (N_t), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Machining Time For Tool Life Production (t_b) and hit the calculate button. Here is how the Batch Size given Machining Time and Conditions calculation can be explained with given input values -> 2 = 3*(103716.2*(0.083/9.167)^(1/0.55))/30.

FAQ

What is Batch Size given Machining Time and Conditions?

The Batch Size given Machining Time and Conditions is a method to determine the maximum number of components that can be manufactured using a given Number of Tools when the conditions under which the tool is being used are known and is represented as N_b = N_t*(L_ref*(V_ref/V)^(1/n))/t_b or Batch Size = Number of Tools Used*(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Machining Time For Tool Life Production. 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 & 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.

How to calculate Batch Size given Machining Time and Conditions?

The Batch Size given Machining Time and Conditions is a method to determine the maximum number of components that can be manufactured using a given Number of Tools when the conditions under which the tool is being used are known is calculated using Batch Size = Number of Tools Used*(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Machining Time For Tool Life Production. To calculate Batch Size given Machining Time and Conditions, you need Number of Tools Used (N_t), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V), Taylor's Tool Life Exponent (n) & Machining Time For Tool Life Production (t_b). 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 & Machining Time For Tool Life Production 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 Batch Size?

In this formula, Batch Size uses Number of Tools Used, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity, Taylor's Tool Life Exponent & Machining Time For Tool Life Production. We can use 1 other way(s) to calculate the same, which is/are as follows -

Batch Size = Number of Tools Used*Tool Life/Machining Time For Tool Life Production

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