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Reference Cutting Velocity given Production Batch and Machining Conditions Formula

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

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

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

Reference Cutting Velocity given Production Batch and Machining Conditions Example

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

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

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

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

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

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

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Reference Cutting Velocity given Production Batch and Machining Conditions Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V ref = 0.0830000016255562m/s

LAST Step Rounding Answer

∴

V ref = 0.083m/s

Reference Cutting Velocity given Production Batch and Machining Conditions Formula Elements

Variables

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

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

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

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 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 Reference Cutting Velocity given Production Batch and Machining Conditions?

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

How to evaluate Reference Cutting Velocity given Production Batch and Machining Conditions using this online evaluator? To use this online evaluator for Reference Cutting Velocity given Production Batch and Machining Conditions, enter Cutting Velocity (V), Batch Size (N_b), Machining Time For Tool Life Production (t_b), Reference Tool Life (L_ref), Number of Tools Used (N_t) & Taylor's Tool Life Exponent (n) and hit the calculate button.

FAQs on Reference Cutting Velocity given Production Batch and Machining Conditions

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

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

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

With Cutting Velocity (V), Batch Size (N_b), Machining Time For Tool Life Production (t_b), Reference Tool Life (L_ref), Number of Tools Used (N_t) & Taylor's Tool Life Exponent (n) we can find Reference Cutting Velocity given Production Batch and Machining Conditions using the formula - 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.

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

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

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

Reference 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 Reference Cutting Velocity given Production Batch and Machining Conditions can be measured.

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Reference Cutting Velocity given Production Batch and Machining Conditions Formula

Reference Cutting Velocity given Production Batch and Machining Conditions Example

Reference Cutting Velocity given Production Batch and Machining Conditions Solution

Reference Cutting Velocity given Production Batch and Machining Conditions Formula Elements

Other formulas in Batch Processing Time category

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

FAQs on Reference Cutting Velocity given Production Batch and Machining Conditions

Variable Name