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Batch Size given Machining Time and Conditions Formula

GoBatch Size using Tool Life and Machining Time Formula

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

N b = N t \cdot \frac{L ref \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}}{t b}

N_b - Batch Size?N_t - Number of Tools Used?L_ref - Reference Tool Life?V_ref - Reference Cutting Velocity?V - Cutting Velocity?n - Taylor's Tool Life Exponent?t_b - Machining Time For Tool Life Production?

Batch Size given Machining Time and Conditions Example

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Here is how the Batch Size given Machining Time and Conditions equation looks like with Values.

Here is how the Batch Size given Machining Time and Conditions equation looks like with Units.

Here is how the Batch Size given Machining Time and Conditions equation looks like.

2 = 3 \cdot \frac{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}{30}

2 = 3 \cdot \frac{103716.2s \cdot {(\frac{0.083m/s}{9.167m/s})}^{\frac{1}{0.55}}}{30s}

2 = 3 \cdot \frac{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}{30}

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Batch Size given Machining Time and Conditions Solution

Follow our step by step solution on how to calculate Batch Size given Machining Time and Conditions?

FIRST Step Consider the formula

N b = N t \cdot \frac{L ref \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}}{t b}

Next Step Substitute values of Variables

∴

N b = 3 \cdot \frac{103716.2s \cdot {(\frac{0.083m/s}{9.167m/s})}^{\frac{1}{0.55}}}{30s}

Next Step Prepare to Evaluate

∴

N b = 3 \cdot \frac{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}{30}

Next Step Evaluate

∴

N b = 1.99999992878177

LAST Step Rounding Answer

∴

N b = 2

Batch Size given Machining Time and Conditions Formula Elements

Variables

Batch Size

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

Symbol: N_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Batch Size

Number of Tools Used

The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Tools Used

Reference Tool Life

Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.

Symbol: L_ref

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Reference Cutting Velocity

Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.

Symbol: V_ref

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Tool Life Exponent

Machining Time For Tool Life Production

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.

Symbol: t_b

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time For Tool Life Production

Other Formulas to find Batch Size

Go Batch Size using Tool Life and Machining Time

N b = N t \cdot \frac{L}{t b}

Other formulas in Batch Processing Time category

Go Number of Tools Used given Tool Life

N t = t b \cdot \frac{N b}{L}

Go Machining Time of One Product using Tool Life

t b = N t \cdot \frac{L}{N b}

How to Evaluate Batch Size given Machining Time and Conditions?

Batch Size given Machining Time and Conditions evaluator 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 evaluate 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 evaluate Batch Size given Machining Time and Conditions using this online evaluator? To use this online evaluator 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.

FAQs on Batch Size given Machining Time and Conditions

What is the formula to find Batch Size given Machining Time and Conditions?

The formula of Batch Size given Machining Time and Conditions is expressed as 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. Here is an example- 2 = 3*(103716.2*(0.083/9.167)^(1/0.55))/30.

How to calculate Batch Size given Machining Time and Conditions?

With 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) we can find Batch Size given Machining Time and Conditions using the formula - 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.

What are the other ways to Calculate Batch Size?

Here are the different ways to Calculate Batch Size-

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

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Batch Size given Machining Time and Conditions Formula

​GoBatch Size using Tool Life and Machining Time Formula

Batch Size given Machining Time and Conditions Example

Batch Size given Machining Time and Conditions Solution

Batch Size given Machining Time and Conditions Formula Elements

Other Formulas to find Batch Size

Other formulas in Batch Processing Time category

How to Evaluate Batch Size given Machining Time and Conditions?

FAQs on Batch Size given Machining Time and Conditions

Variable Name

GoBatch Size using Tool Life and Machining Time Formula