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Number of Tools Used given Machining Time and Conditions Formula

GoNumber of Tools Used given Tool Life Formula

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The Number of Tools Used is the total number of tools used for manufacturing a batch of products. Check FAQs

N t = t b \cdot \frac{N b}{L ref \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}}

N_t - Number of Tools Used?t_b - Machining Time For Tool Life Production?N_b - Batch Size?L_ref - Reference Tool Life?V_ref - Reference Cutting Velocity?V - Cutting Velocity?n - Taylor's Tool Life Exponent?

Number of Tools Used given Machining Time and Conditions Example

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Here is how the Number of Tools Used given Machining Time and Conditions equation looks like with Values.

Here is how the Number of Tools Used given Machining Time and Conditions equation looks like with Units.

Here is how the Number of Tools Used given Machining Time and Conditions equation looks like.

3 = 30 \cdot \frac{2}{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}

3 = 30s \cdot \frac{2}{103716.2s \cdot {(\frac{0.083m/s}{9.167m/s})}^{\frac{1}{0.55}}}

3 = 30 \cdot \frac{2}{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}

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Number of Tools Used given Machining Time and Conditions Solution

Follow our step by step solution on how to calculate Number of Tools Used given Machining Time and Conditions?

FIRST Step Consider the formula

N t = t b \cdot \frac{N b}{L ref \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}}

Next Step Substitute values of Variables

∴

N t = 30s \cdot \frac{2}{103716.2s \cdot {(\frac{0.083m/s}{9.167m/s})}^{\frac{1}{0.55}}}

Next Step Prepare to Evaluate

∴

N t = 30 \cdot \frac{2}{103716.2 \cdot {(\frac{0.083}{9.167})}^{\frac{1}{0.55}}}

Next Step Evaluate

∴

N t = 3.00000010682735

LAST Step Rounding Answer

∴

N t = 3

Number of Tools Used given Machining Time and Conditions Formula Elements

Variables

Number of Tools Used

The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Tools Used

Machining Time For Tool Life Production

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.

Symbol: t_b

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time For Tool Life Production

Batch Size

Batch Size is the count of similar kinds of products to be manufactured.

Symbol: N_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Batch Size

Reference Tool Life

Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.

Symbol: L_ref

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Reference Cutting Velocity

Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.

Symbol: V_ref

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Tool Life Exponent

Other Formulas to find Number of Tools Used

Go Number of Tools Used given Tool Life

N t = t b \cdot \frac{N b}{L}

Other formulas in Batch Processing Time category

Go Machining Time of One Product using Tool Life

t b = N t \cdot \frac{L}{N b}

Go Batch Size using Tool Life and Machining Time

N b = N t \cdot \frac{L}{t b}

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

Number of Tools Used given Machining Time and Conditions evaluator 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 evaluate 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 evaluate Number of Tools Used given Machining Time and Conditions using this online evaluator? To use this online evaluator 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.

FAQs on Number of Tools Used given Machining Time and Conditions

What is the formula to find Number of Tools Used given Machining Time and Conditions?

The formula of Number of Tools Used given Machining Time and Conditions is expressed as 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)). Here is an example- 3 = 30*2/(103716.2*(0.083/9.167)^(1/0.55)).

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

With 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) we can find Number of Tools Used given Machining Time and Conditions using the formula - 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)).

What are the other ways to Calculate Number of Tools Used?

Here are the different ways to Calculate Number of Tools Used-

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

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Number of Tools Used given Machining Time and Conditions Formula

​GoNumber of Tools Used given Tool Life Formula

Number of Tools Used given Machining Time and Conditions Example

Number of Tools Used given Machining Time and Conditions Solution

Number of Tools Used given Machining Time and Conditions Formula Elements

Other Formulas to find Number of Tools Used

Other formulas in Batch Processing Time category

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

FAQs on Number of Tools Used given Machining Time and Conditions

Variable Name

GoNumber of Tools Used given Tool Life Formula