✖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.ⓘ Machining Time For Tool Life Production [t_b]			+10% -10%
✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size [N_b]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+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 Machining Time and Conditions [N_t]

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Formula

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Number of Tools Used given Machining Time and Conditions

Formula

`"N"_{"t"} = "t"_{"b"}*"N"_{"b"}/("L"_{"ref"}*("V"_{"ref"}/"V")^(1/"n"))`

Example

`"3"="30s"*"2"/("103716.2s"*(".083m/s"/"9.167m/s")^(1/"0.55"))`

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Number of Tools Used given Machining Time and Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Tools Used = Machining Time For Tool Life Production*Batch Size/(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))
N_t = t_b*N_b/(L_ref*(V_ref/V)^(1/n))
This formula uses 7 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 For Tool Life Production - (Measured in Second) - 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.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

STEP 1: Convert Input(s) to Base Unit

Machining Time For Tool Life Production: 30 Second --> 30 Second No Conversion Required
Batch Size: 2 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Cutting Velocity: 9.167 Meter per Second --> 9.167 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t = t_b*N_b/(L_ref*(V_ref/V)^(1/n)) --> 30*2/(103716.2*(0.083/9.167)^(1/0.55))

Evaluating ... ...

N_t = 3.00000010682735

STEP 3: Convert Result to Output's Unit

3.00000010682735 --> No Conversion Required

FINAL ANSWER

3.00000010682735 ≈ 3 <-- Number of Tools Used

(Calculation completed in 00.020 seconds)

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

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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 For Tool Life Production))

Machining Time of one product given Production Batch and Machining Conditions

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

Reference Tool Life given Production Batch and Machining Conditions

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

Number of Tools Used given Machining Time and Conditions

Go Number of Tools Used = Machining Time For Tool Life Production*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 For Tool Life Production

Reference Cutting Velocity given Production Batch and Machining Conditions

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

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 For Tool Life Production))^Taylor's Tool Life Exponent

Tool Life given Batch Size and Number of Tools

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

Machining Time of One Product using Tool Life

Go Machining Time For Tool Life Production = 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 For Tool Life Production

Number of Tools Used given Tool Life

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

Constant for Machining Operation of one product given Machining Condition

Go Constant For Machining Condition = Machining Time For Tool Life Production*Cutting Velocity

Cutting Velocity of one product given Constant for Machining Operation

Go Cutting Velocity = Constant For Machining Condition/Machining Time For Tool Life Production

Machining Time of one product given Constant for Machining Operation

Go Machining Time For Tool Life Production = Constant For Machining Condition/Cutting Velocity

Number of Tools Used given Machining Time and Conditions Formula

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 Machining Time and Conditions?

Number of Tools Used given Machining Time and Conditions calculator uses Number of Tools Used = Machining Time For Tool Life Production*Batch Size/(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)) to calculate the Number of Tools Used, Number of Tools Used given Machining Time and Conditions is a method to determine the maximum number of tools that might be required to manufacture a batch of components when the conditions under which the tool is being used are known. Number of Tools Used is denoted by N_t symbol.

How to calculate Number of Tools Used given Machining Time and Conditions using this online calculator? To use this online calculator for Number of Tools Used given Machining Time and Conditions, enter Machining Time For Tool Life Production (t_b), Batch Size (N_b), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Number of Tools Used given Machining Time and Conditions calculation can be explained with given input values -> 3 = 30*2/(103716.2*(0.083/9.167)^(1/0.55)).

FAQ

What is Number of Tools Used given Machining Time and Conditions?

Number of Tools Used given Machining Time and Conditions is a method to determine the maximum number of tools that might be required to manufacture a batch of components when the conditions under which the tool is being used are known and is represented as N_t = t_b*N_b/(L_ref*(V_ref/V)^(1/n)) or Number of Tools Used = Machining Time For Tool Life Production*Batch Size/(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)). 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, Batch Size is the count of similar kinds of products to be manufactured, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

How to calculate Number of Tools Used given Machining Time and Conditions?

Number of Tools Used given Machining Time and Conditions is a method to determine the maximum number of tools that might be required to manufacture a batch of components when the conditions under which the tool is being used are known is calculated using Number of Tools Used = Machining Time For Tool Life Production*Batch Size/(Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)). To calculate Number of Tools Used given Machining Time and Conditions, you need Machining Time For Tool Life Production (t_b), Batch Size (N_b), Reference Tool Life (L_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Machining Time For Tool Life Production, Batch Size, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent 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 For Tool Life Production, Batch Size, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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