Number of Tools used given Average Production Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool
Nt = Nb*(tp-(ts+tm))/tc
This formula uses 6 Variables
Variables Used
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Average Production Time - (Measured in Second) - Average Production Time is the time taken to produce a single component out of a lot of produced batches.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
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.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
STEP 1: Convert Input(s) to Base Unit
Batch Size: 2 --> No Conversion Required
Average Production Time: 18 Minute --> 1080 Second (Check conversion here)
Setup Time: 0.9 Minute --> 54 Second (Check conversion here)
Machining Time: 1.15 Minute --> 69 Second (Check conversion here)
Time to Change One Tool: 0.5 Minute --> 30 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nt = Nb*(tp-(ts+tm))/tc --> 2*(1080-(54+69))/30
Evaluating ... ...
Nt = 63.8
STEP 3: Convert Result to Output's Unit
63.8 --> No Conversion Required
FINAL ANSWER
63.8 <-- Number of Tools Used
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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3 Number of Tools Calculators

Number of Tools used given Average Production Time
Go Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool
Number of Tools Used given Total Tool Changing Time
Go Number of Tools Used = Total Tool Changing Time/Time to Change One Tool
Number of Tools used given Total Cost of Tools
Go Number of Tools Used = Total Cost of Tools Used/Cost of a Tool

Number of Tools used given Average Production Time Formula

Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool
Nt = Nb*(tp-(ts+tm))/tc

Why there is a need to change the Tool?

Due to Wear during the cutting operation, the sharpness of the Cutting edge of the tool is lost which leads to roughness and tolerances at the surface. To tackle this, the tool is usually sharpened rather than completely changed.

How to Calculate Number of Tools used given Average Production Time?

Number of Tools used given Average Production Time calculator uses Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool to calculate the Number of Tools Used, Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known. Number of Tools Used is denoted by Nt symbol.

How to calculate Number of Tools used given Average Production Time using this online calculator? To use this online calculator for Number of Tools used given Average Production Time, enter Batch Size (Nb), Average Production Time (tp), Setup Time (ts), Machining Time (tm) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Number of Tools used given Average Production Time calculation can be explained with given input values -> 63.8 = 2*(1080-(54+69))/30.

FAQ

What is Number of Tools used given Average Production Time?
Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known and is represented as Nt = Nb*(tp-(ts+tm))/tc or Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool. Batch Size is the count of similar kinds of products to be manufactured, Average Production Time is the time taken to produce a single component out of a lot of produced batches, Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component, 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 & Time to Change One Tool is the measure of time it takes to change one tool during machining.
How to calculate Number of Tools used given Average Production Time?
Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known is calculated using Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool. To calculate Number of Tools used given Average Production Time, you need Batch Size (Nb), Average Production Time (tp), Setup Time (ts), Machining Time (tm) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Batch Size, Average Production Time, Setup Time, Machining Time & Time to Change One Tool 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 Number of Tools Used?
In this formula, Number of Tools Used uses Batch Size, Average Production Time, Setup Time, Machining Time & Time to Change One Tool. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Number of Tools Used = Total Cost of Tools Used/Cost of a Tool
  • Number of Tools Used = Total Tool Changing Time/Time to Change One Tool
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