FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Cutting Velocity given Production Batch and Machining Conditions Formula

GoCutting Velocity of one product given Constant for Machining Operation Formula

Fx Copy

LaTeX Copy

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

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

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

Cutting Velocity given Production Batch and Machining Conditions Example

With values

With units

Only example

Here is how the Cutting Velocity given Production Batch and Machining Conditions equation looks like with Values.

Here is how the Cutting Velocity given Production Batch and Machining Conditions equation looks like with Units.

Here is how the Cutting Velocity given Production Batch and Machining Conditions equation looks like.

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Cutting Velocity given Production Batch and Machining Conditions

Cutting Velocity given Production Batch and Machining Conditions Solution

Follow our step by step solution on how to calculate Cutting Velocity given Production Batch and Machining Conditions?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 9.16699982046418m/s

LAST Step Rounding Answer

∴

V = 9.167m/s

Cutting Velocity given Production Batch and Machining Conditions Formula Elements

Variables

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

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

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

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

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

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

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 Cutting Velocity

Go Cutting Velocity of one product given Constant for Machining Operation

V = \frac{K}{t b}

Other formulas in Batch Processing Time category

Go Number of Tools Used given Tool Life

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

Go Machining Time of One Product using Tool Life

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

How to Evaluate Cutting Velocity given Production Batch and Machining Conditions?

Cutting Velocity given Production Batch and Machining Conditions evaluator uses 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 to evaluate the Cutting Velocity, The Cutting Velocity given Production Batch and Machining Conditions is given is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference condition to manufacture a given batch of components. Cutting Velocity is denoted by V symbol.

How to evaluate Cutting Velocity given Production Batch and Machining Conditions using this online evaluator? To use this online evaluator for Cutting Velocity given Production Batch and Machining Conditions, enter 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) & Taylor's Tool Life Exponent (n) and hit the calculate button.

FAQs on Cutting Velocity given Production Batch and Machining Conditions

What is the formula to find Cutting Velocity given Production Batch and Machining Conditions?

The formula of Cutting Velocity given Production Batch and Machining Conditions is expressed as 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. Here is an example- 9.167 = 0.083*((103716.2*3)/(2*30))^0.55.

How to calculate Cutting Velocity given Production Batch and Machining Conditions?

With 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) & Taylor's Tool Life Exponent (n) we can find Cutting Velocity given Production Batch and Machining Conditions using the formula - 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.

What are the other ways to Calculate Cutting Velocity?

Here are the different ways to Calculate Cutting Velocity-

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

Can the Cutting Velocity given Production Batch and Machining Conditions be negative?

No, the Cutting Velocity given Production Batch and Machining Conditions, measured in Speed cannot be negative.

Which unit is used to measure Cutting Velocity given Production Batch and Machining Conditions?

Cutting Velocity given Production Batch and Machining Conditions is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cutting Velocity given Production Batch and Machining Conditions can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Cutting Velocity given Production Batch and Machining Conditions Formula

​GoCutting Velocity of one product given Constant for Machining Operation Formula

Cutting Velocity given Production Batch and Machining Conditions Example

Cutting Velocity given Production Batch and Machining Conditions Solution

Cutting Velocity given Production Batch and Machining Conditions Formula Elements

Other Formulas to find Cutting Velocity

Other formulas in Batch Processing Time category

How to Evaluate Cutting Velocity given Production Batch and Machining Conditions?

FAQs on Cutting Velocity given Production Batch and Machining Conditions

Variable Name

GoCutting Velocity of one product given Constant for Machining Operation Formula