✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools Used [N_t]			+10% -10%
✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size [N_b]			+10% -10%
✖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%

✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent given Production Batch and Machining Conditions [n]

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Formula

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

Formula

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

Example

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
n = ln(V/V_ref)/ln((L_ref*N_t)/(N_b*t_b))
This formula uses 1 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
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).
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cutting Velocity: 9.167 Meter per Second --> 9.167 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Number of Tools Used: 3 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Machining Time For Tool Life Production: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = ln(V/V_ref)/ln((L_ref*N_t)/(N_b*t_b)) --> ln(9.167/0.083)/ln((103716.2*3)/(2*30))

Evaluating ... ...

n = 0.550000002289659

STEP 3: Convert Result to Output's Unit

0.550000002289659 --> No Conversion Required

FINAL ANSWER

0.550000002289659 ≈ 0.55 <-- Taylor's Tool Life Exponent

(Calculation completed in 00.020 seconds)

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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

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

What is a Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

Taylor's Tool Life Exponent given Production Batch and Machining Conditions calculator uses 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)) to calculate the Taylor's Tool Life Exponent, The Taylor's Tool Life Exponent given Production Batch and Machining Conditions is a method to determine the experimental exponent after practical data of tool machining have been tabulated when comparing with a reference condition to optimally manufacture a given batch of components. Taylor's Tool Life Exponent is denoted by n symbol.

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

FAQ

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

The Taylor's Tool Life Exponent given Production Batch and Machining Conditions is a method to determine the experimental exponent after practical data of tool machining have been tabulated when comparing with a reference condition to optimally manufacture a given batch of components and is represented as n = ln(V/V_ref)/ln((L_ref*N_t)/(N_b*t_b)) or 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)). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, The Number of Tools Used is the total number of tools used for manufacturing a batch of products, Batch Size is the count of similar kinds of products to be manufactured & 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.

How to calculate Taylor's Tool Life Exponent given Production Batch and Machining Conditions?

The Taylor's Tool Life Exponent given Production Batch and Machining Conditions is a method to determine the experimental exponent after practical data of tool machining have been tabulated when comparing with a reference condition to optimally manufacture a given batch of components is calculated using 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)). To calculate Taylor's Tool Life Exponent given Production Batch and Machining Conditions, you need Cutting Velocity (V), Reference Cutting Velocity (V_ref), Reference Tool Life (L_ref), Number of Tools Used (N_t), Batch Size (N_b) & Machining Time For Tool Life Production (t_b). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Reference Tool Life, Number of Tools Used, Batch Size & Machining Time For Tool Life Production and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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