✖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%
✖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%
✖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 [N_t]			+10% -10%

✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life given Production Batch and Machining Conditions [L_ref]

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Formula

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Reference Tool Life given Production Batch and Machining Conditions

Formula

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

Example

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

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Reference Tool Life given Production Batch and Machining Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

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
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
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Number of Tools Used: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_ref = t_b*N_b*((V/V_ref)^(1/n))/N_t --> 30*2*((9.167/0.083)^(1/0.55))/3

Evaluating ... ...

L_ref = 103716.203693242

STEP 3: Convert Result to Output's Unit

103716.203693242 Second --> No Conversion Required

FINAL ANSWER

103716.203693242 ≈ 103716.2 Second <-- Reference Tool Life

(Calculation completed in 00.004 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

Reference Tool Life given Production Batch and Machining Conditions Formula

What is 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 Reference Tool Life given Production Batch and Machining Conditions?

Reference Tool Life given Production Batch and Machining Conditions calculator uses 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 to calculate the Reference Tool Life, The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components. Reference Tool Life is denoted by L_ref symbol.

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

FAQ

What is Reference Tool Life given Production Batch and Machining Conditions?

The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components and is represented as L_ref = t_b*N_b*((V/V_ref)^(1/n))/N_t or 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. 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, 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, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

How to calculate Reference Tool Life given Production Batch and Machining Conditions?

The Reference Tool Life given Production Batch and Machining Conditions is a method to determine the optimal Tool Sharpening period required for a known Cutting Velocity in reference machining condition to manufacture a given batch of components is calculated using 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. To calculate Reference Tool Life given Production Batch and Machining Conditions, you need Machining Time For Tool Life Production (t_b), Batch Size (N_b), Cutting Velocity (V), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n) & Number of Tools Used (N_t). With our tool, you need to enter the respective value for Machining Time For Tool Life Production, Batch Size, Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent & Number of Tools Used 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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