Number of Tools Used given Tool Life Calculator

✖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.ⓘ Machining Time [t_m]			+10% -10%
✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size [N_b]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%

✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools Used given Tool Life [N_t]

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Formula

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Number of Tools Used given Tool Life

Formula

`"N"_{"t"} = "t"_{"m"}*"N"_{"b"}/"T"`

Example

`"0.013333"="0.5min"*"2"/"75min"`

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Number of Tools Used given Tool Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Tools Used = Machining Time*Batch Size/Tool Life
N_t = t_m*N_b/T
This formula uses 4 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.
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.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

STEP 1: Convert Input(s) to Base Unit

Machining Time: 0.5 Minute --> 30 Second (Check conversion here)
Batch Size: 2 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t = t_m*N_b/T --> 30*2/4500

Evaluating ... ...

N_t = 0.0133333333333333

STEP 3: Convert Result to Output's Unit

0.0133333333333333 --> No Conversion Required

FINAL ANSWER

0.0133333333333333 ≈ 0.013333 <-- Number of Tools Used

(Calculation completed in 00.021 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< 14 Batch Processing Time Calculators

Taylor's Tool Life Exponent given Production Batch and Machining Conditions

Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))

Machining Time of one product given Production Batch and Machining Conditions

Go Machining Time = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Batch Size

Number of Tools Used given Machining Time and Conditions

Go Number of Tools Used = Machining Time*Batch Size/(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))

Batch Size given Machining Time and Conditions

Go Batch Size = Number of Tools Used*(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))/Machining Time

Reference Cutting Velocity given Production Batch and Machining Conditions

Go Reference Cutting Velocity = Cutting Velocity*(((Batch Size*Machining Time)/(Reference Tool Life*Number of Tools Used))^Taylor's Tool Life Exponent)

Reference Tool Life given Production Batch and Machining Conditions

Go Reference Tool Life = Machining Time*Batch Size*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Number of Tools Used

Cutting Velocity given Production Batch and Machining Conditions

Go Cutting Velocity = Reference Cutting Velocity*(((Reference Tool Life*Number of Tools Used)/(Batch Size*Machining Time))^Taylor's Tool Life Exponent)

Tool Life given Batch Size and Number of Tools

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

Machining Time of One Product using Tool Life

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

Batch Size using Tool Life and Machining Time

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

Number of Tools Used given Tool Life

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

Constant for Machining Operation of one product given Machining Condition

Go Constant For Machining Condition = Machining Time*Cutting Velocity

Cutting Velocity of one product given Constant for Machining Operation

Go Cutting Velocity = Constant For Machining Condition/Machining Time

Machining Time of one product given Constant for Machining Operation

Go Machining Time = Constant For Machining Condition/Cutting Velocity

Number of Tools Used given Tool Life Formula

Number of Tools Used = Machining Time*Batch Size/Tool Life
N_t = t_m*N_b/T

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 - The 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 Tool Life?

Number of Tools Used given Tool Life calculator uses Number of Tools Used = Machining Time*Batch Size/Tool Life to calculate the Number of Tools Used, The Number of Tools Used given Tool Life is a method to determine the maximum number of tools that might be required to manufacture a batch of components when it is known how long one tool is going to last. Number of Tools Used is denoted by N_t symbol.

How to calculate Number of Tools Used given Tool Life using this online calculator? To use this online calculator for Number of Tools Used given Tool Life, enter Machining Time (t_m), Batch Size (N_b) & Tool Life (T) and hit the calculate button. Here is how the Number of Tools Used given Tool Life calculation can be explained with given input values -> 0.013333 = 30*2/4500.

FAQ

What is Number of Tools Used given Tool Life?

The Number of Tools Used given Tool Life is a method to determine the maximum number of tools that might be required to manufacture a batch of components when it is known how long one tool is going to last and is represented as N_t = t_m*N_b/T or Number of Tools Used = Machining Time*Batch Size/Tool Life. 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, Batch Size is the count of similar kinds of products to be manufactured & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

How to calculate Number of Tools Used given Tool Life?

The Number of Tools Used given Tool Life is a method to determine the maximum number of tools that might be required to manufacture a batch of components when it is known how long one tool is going to last is calculated using Number of Tools Used = Machining Time*Batch Size/Tool Life. To calculate Number of Tools Used given Tool Life, you need Machining Time (t_m), Batch Size (N_b) & Tool Life (T). With our tool, you need to enter the respective value for Machining Time, Batch Size & Tool Life 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 Machining Time, Batch Size & Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Tools Used = Machining Time*Batch Size/(Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))

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