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Batch Size given Non-productive Time in Turning Formula

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

N b = \frac{t s + N t \cdot t st}{(NPT - t ln - (t pt \cdot n 0))}

N_b - Batch Size?t_s - Basic Setup Time?N_t - Number of Tools Used?t_st - Setup Time Per Tool?NPT - Non-Productive Time?t_ln - Loading And Unloading Time?t_pt - Tool Positioning Time Per Operation?n₀ - Number of Operations?

Batch Size given Non-productive Time in Turning Example

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Here is how the Batch Size given Non-productive Time in Turning equation looks like with Values.

Here is how the Batch Size given Non-productive Time in Turning equation looks like with Units.

Here is how the Batch Size given Non-productive Time in Turning equation looks like.

2.9997 = \frac{20.5 + 4 \cdot 10}{(28.169 - 30 - (1.5 \cdot 5))}

2.9997 = \frac{20.5min + 4 \cdot 10min}{(28.169min - 30s - (1.5min \cdot 5))}

2.9997 = \frac{20.5 + 4 \cdot 10}{(28.169 - 30 - (1.5 \cdot 5))}

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Batch Size given Non-productive Time in Turning Solution

Follow our step by step solution on how to calculate Batch Size given Non-productive Time in Turning?

FIRST Step Consider the formula

N b = \frac{t s + N t \cdot t st}{(NPT - t ln - (t pt \cdot n 0))}

Next Step Substitute values of Variables

∴

N b = \frac{20.5min + 4 \cdot 10min}{(28.169min - 30s - (1.5min \cdot 5))}

Next Step Convert Units

∴

N b = \frac{1230s + 4 \cdot 600s}{(1690.14s - 30s - (90s \cdot 5))}

Next Step Prepare to Evaluate

∴

N b = \frac{1230 + 4 \cdot 600}{(1690.14 - 30 - (90 \cdot 5))}

Next Step Evaluate

∴

N b = 2.99965293271853

LAST Step Rounding Answer

∴

N b = 2.9997

Batch Size given Non-productive Time in Turning 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

Basic Setup Time

Basic Setup Time is the basic time required to load/unload the workpiece and position the tool for production for one component.

Symbol: t_s

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Basic Setup Time

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

Setup Time Per Tool

Setup Time Per Tool is defined as the amount of time taken in setting up the tool while machining.

Symbol: t_st

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Setup Time Per Tool

Non-Productive Time

Non-Productive Time (NPT) refers to the time during which a machine is not actively engaged in producing parts.

Symbol: NPT

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Non-Productive Time

Loading And Unloading Time

Loading And Unloading Time is the time required to load/unload the workpiece before the start of machine operation.

Symbol: t_ln

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Loading And Unloading Time

Tool Positioning Time Per Operation

Tool Positioning Time Per Operation is defined as the time taken in changing the tool before the start of operation.

Symbol: t_pt

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Tool Positioning Time Per Operation

Number of Operations

The Number of Operations is defined as the total number of operations done in a batch.

Symbol: n₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Operations

Other formulas in Turning Operation category

Go Diameter of Workpiece given Constant for Cylindrical Turning

d = K \cdot \frac{f}{π \cdot L cut}

Go Turning Length given Constant for Cylindrical Turning

L cut = K \cdot \frac{f}{π \cdot d}

How to Evaluate Batch Size given Non-productive Time in Turning?

Batch Size given Non-productive Time in Turning evaluator uses Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time Per Tool)/((Non-Productive Time-Loading And Unloading Time-(Tool Positioning Time Per Operation*Number of Operations))) to evaluate the Batch Size, The Batch Size given Non-productive Time in Turning is the count of similar kinds of products to be manufactured. Batch Size is denoted by N_b symbol.

How to evaluate Batch Size given Non-productive Time in Turning using this online evaluator? To use this online evaluator for Batch Size given Non-productive Time in Turning, enter Basic Setup Time (t_s), Number of Tools Used (N_t), Setup Time Per Tool (t_st), Non-Productive Time (NPT), Loading And Unloading Time (t_ln), Tool Positioning Time Per Operation (t_pt) & Number of Operations (n₀) and hit the calculate button.

FAQs on Batch Size given Non-productive Time in Turning

What is the formula to find Batch Size given Non-productive Time in Turning?

The formula of Batch Size given Non-productive Time in Turning is expressed as Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time Per Tool)/((Non-Productive Time-Loading And Unloading Time-(Tool Positioning Time Per Operation*Number of Operations))). Here is an example- 2.999653 = (1230+4*600)/((1690.14-30-(90*5))).

How to calculate Batch Size given Non-productive Time in Turning?

With Basic Setup Time (t_s), Number of Tools Used (N_t), Setup Time Per Tool (t_st), Non-Productive Time (NPT), Loading And Unloading Time (t_ln), Tool Positioning Time Per Operation (t_pt) & Number of Operations (n₀) we can find Batch Size given Non-productive Time in Turning using the formula - Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time Per Tool)/((Non-Productive Time-Loading And Unloading Time-(Tool Positioning Time Per Operation*Number of Operations))).

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Batch Size given Non-productive Time in Turning Formula

Batch Size given Non-productive Time in Turning Example

Batch Size given Non-productive Time in Turning Solution

Batch Size given Non-productive Time in Turning Formula Elements

Other formulas in Turning Operation category

How to Evaluate Batch Size given Non-productive Time in Turning?

FAQs on Batch Size given Non-productive Time in Turning

Variable Name