Number of Tools Used given Total Tool Changing Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Tools Used = Total Tool Changing Time/Time to Change One Tool
Nt = TTCT/tc
This formula uses 3 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.
Total Tool Changing Time - (Measured in Second) - Total Tool Changing Time is the average time required by the operator or automation system to change the tool.
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
Total Tool Changing Time: 4.5 Minute --> 270 Second (Check conversion ​here)
Time to Change One Tool: 1.5 Minute --> 90 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nt = TTCT/tc --> 270/90
Evaluating ... ...
Nt = 3
STEP 3: Convert Result to Output's Unit
3 --> No Conversion Required
FINAL ANSWER
3 <-- Number of Tools Used
(Calculation completed in 00.020 seconds)

Credits

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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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13 Individual Cost Calculators

Tool Changing Time for Each Tool given Individual Costs
​ Go Time to Change One Tool = (Total Production Cost-(Total Machining And Operating Cost+Total Non Productive Cost+Total Cost of Tools Used))/(Cost of A Tool*Number of Tools Used)
Setup Time for Each Product given Individual Costs
​ Go Setup Time = (Total Production Cost for Setup Time-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used))/(Cost of A Tool*Batch Size)
Machining Time for Each Product given Individual Costs
​ Go Machining Time = (Total Production Cost-(Total Non-Productive Cost+Total Tool Changing Cost+Total Cost of Tools Used))/(Cost of A Tool*Batch Size)
Machining and Operating Rate using Individual Cost
​ Go Cost of A Tool = (Total Production Cost-(Total Non Productive Cost+Total Tool Changing Cost+Total Cost of Tools Used))/(Batch Size*Machining Time)
Non-Productive Cost of One Component given Individual Costs
​ Go Non Another Productive Cost of Each Component = (Total Production Cost-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used))/Batch Size
Tool Changing Cost of each Tool given Individual Costs
​ Go Cost of changing each Tool = (Total Production Cost-(Total Non Productive Cost+Total Machining And Operating Cost+Total Cost of Tools Used))/Number of Tools Used
Number of Tools used given Individual Costs
​ Go Number of Tools Used = (Total Production Cost-(Total Non Productive Cost+Total Machining And Operating Cost+Total Tool Changing Cost))/Cost of A Tool
Total Non-Productive Cost given Individual Costs
​ Go Total Non Productive Cost = Total Production Cost-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used)
Total Tool Changing Cost given Individual Costs
​ Go Total Tool Changing Cost = Total Production Cost-(Total Machining And Operating Cost+Total Non Productive Cost+Total Cost of Tools Used)
Total Cost of Tools Used given Individual Costs
​ Go Total Cost of Tools Used = Total Production Cost-(Total Non Productive Cost+Total Machining And Operating Cost+Total Tool Changing Cost)
Total Production Cost given Individual Costs
​ Go Total Production Cost = Total Non-Productive Cost+Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used
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 Total Tool Changing Time Formula

Number of Tools Used = Total Tool Changing Time/Time to Change One Tool
Nt = TTCT/tc

Tool Failure and Need to change the Tool

The tool generally undergoes the following failure:
1. Fracture failure - Cutting force becomes excessive, leading to brittle fracture
2. Temperature failure - Cutting temperature is too high for the tool material
3. Gradual wear
Due to Wear, 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 Total Tool Changing Time?

Number of Tools Used given Total Tool Changing Time calculator uses Number of Tools Used = Total Tool Changing Time/Time to Change One Tool to calculate the Number of Tools Used, The Number of Tools Used given Total Tool Changing Time is a method to determine the maximum number of tools that can be changed during a batch production when the total spare time allowed for Tool Changing is known. Number of Tools Used is denoted by Nt symbol.

How to calculate Number of Tools Used given Total Tool Changing Time using this online calculator? To use this online calculator for Number of Tools Used given Total Tool Changing Time, enter Total Tool Changing Time (TTCT) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Number of Tools Used given Total Tool Changing Time calculation can be explained with given input values -> 9 = 270/90.

FAQ

What is Number of Tools Used given Total Tool Changing Time?
The Number of Tools Used given Total Tool Changing Time is a method to determine the maximum number of tools that can be changed during a batch production when the total spare time allowed for Tool Changing is known and is represented as Nt = TTCT/tc or Number of Tools Used = Total Tool Changing Time/Time to Change One Tool. Total Tool Changing Time is the average time required by the operator or automation system to change the tool & 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 Total Tool Changing Time?
The Number of Tools Used given Total Tool Changing Time is a method to determine the maximum number of tools that can be changed during a batch production when the total spare time allowed for Tool Changing is known is calculated using Number of Tools Used = Total Tool Changing Time/Time to Change One Tool. To calculate Number of Tools Used given Total Tool Changing Time, you need Total Tool Changing Time (TTCT) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Total Tool Changing 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 Total Tool Changing Time & Time to Change One Tool. We can use 1 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
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