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Feed given Instantaneous Cutting Speed Formula

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The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle. Check FAQs

f = \frac{R o - (\frac{V}{2 \cdot π \cdot ω s})}{ω s \cdot t}

f - Feed?R_o - Outer Radius of Workpiece?V - Cutting Velocity?ω_s - Rotational Frequency of Spindle?t - Process Time?π - Archimedes' constant?

Feed given Instantaneous Cutting Speed Example

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Here is how the Feed given Instantaneous Cutting Speed equation looks like with Values.

Here is how the Feed given Instantaneous Cutting Speed equation looks like with Units.

Here is how the Feed given Instantaneous Cutting Speed equation looks like.

0.3008 = \frac{1000 - (\frac{8000}{2 \cdot 3.1416 \cdot 600})}{600 \cdot 5.5282}

0.3008mm = \frac{1000mm - (\frac{8000mm/min}{2 \cdot 3.1416 \cdot 600rev/min})}{600rev/min \cdot 5.5282min}

0.3008 = \frac{1000 - (\frac{8000}{2 \cdot 3.1416 \cdot 600})}{600 \cdot 5.5282}

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Feed given Instantaneous Cutting Speed Solution

Follow our step by step solution on how to calculate Feed given Instantaneous Cutting Speed?

FIRST Step Consider the formula

f = \frac{R o - (\frac{V}{2 \cdot π \cdot ω s})}{ω s \cdot t}

Next Step Substitute values of Variables

∴

f = \frac{1000mm - (\frac{8000mm/min}{2 \cdot π \cdot 600rev/min})}{600rev/min \cdot 5.5282min}

Next Step Substitute values of Constants

∴

f = \frac{1000mm - (\frac{8000mm/min}{2 \cdot 3.1416 \cdot 600rev/min})}{600rev/min \cdot 5.5282min}

Next Step Convert Units

∴

f = \frac{1m - (\frac{0.1333m/s}{2 \cdot 3.1416 \cdot 10Hz})}{10Hz \cdot 331.692s}

Next Step Prepare to Evaluate

∴

f = \frac{1 - (\frac{0.1333}{2 \cdot 3.1416 \cdot 10})}{10 \cdot 331.692}

Next Step Evaluate

∴

f = 0.000300844739726043m

Next Step Convert to Output's Unit

∴

f = 0.300844739726043mm

LAST Step Rounding Answer

∴

f = 0.3008mm

Feed given Instantaneous Cutting Speed Formula Elements

Variables

Constants

Feed

The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

Symbol: f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Feed

Outer Radius of Workpiece

Outer Radius of Workpiece is the distance from the center of rotation to the outermost surface of the workpiece being machined.

Symbol: R_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Workpiece

Cutting Velocity

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

Symbol: V

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Rotational Frequency of Spindle

Rotational Frequency of Spindle is the speed at which the spindle of a machine tool rotates during machining operations. It is typically measured in revolutions per minute.

Symbol: ω_s

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of Spindle

Process Time

Process Time refers to the duration it takes to complete a specific operation or set of operations involved in the manufacturing process.

Symbol: t

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Process Time

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Cutting Speed category

Go Reference Cutting Velocity given Rate of Increase of Wear-Land Width

V ref = \frac{V}{{(V r \cdot \frac{T ref}{w})}^{n}}

Go Cutting Velocity given Rate of Increase of Wear-Land Width

V = V ref \cdot {(V r \cdot \frac{T ref}{w})}^{n}

Go Instantaneous Cutting Speed

V = 2 \cdot π \cdot ω s \cdot r

Go Time for Facing given Instantaneous Cutting Speed

t = \frac{R o - (\frac{V}{2 \cdot π \cdot ω s})}{ω s \cdot f}

How to Evaluate Feed given Instantaneous Cutting Speed?

Feed given Instantaneous Cutting Speed evaluator uses Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time) to evaluate the Feed, The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool. The feed refers to the linear distance the cutting tool travels along the workpiece surface per revolution or per unit of time. It's a crucial parameter that, along with the cutting speed (or velocity) and depth of cut, determines the material removal rate and the quality of the machined surface. Feed is denoted by f symbol.

How to evaluate Feed given Instantaneous Cutting Speed using this online evaluator? To use this online evaluator for Feed given Instantaneous Cutting Speed, enter Outer Radius of Workpiece (R_o), Cutting Velocity (V), Rotational Frequency of Spindle (ω_s) & Process Time (t) and hit the calculate button.

FAQs on Feed given Instantaneous Cutting Speed

What is the formula to find Feed given Instantaneous Cutting Speed?

The formula of Feed given Instantaneous Cutting Speed is expressed as Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). Here is an example- 15785.9 = (1-(0.133333333333333/(2*pi*10)))/(10*331.692).

How to calculate Feed given Instantaneous Cutting Speed?

With Outer Radius of Workpiece (R_o), Cutting Velocity (V), Rotational Frequency of Spindle (ω_s) & Process Time (t) we can find Feed given Instantaneous Cutting Speed using the formula - Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). This formula also uses Archimedes' constant .

Can the Feed given Instantaneous Cutting Speed be negative?

No, the Feed given Instantaneous Cutting Speed, measured in Length cannot be negative.

Which unit is used to measure Feed given Instantaneous Cutting Speed?

Feed given Instantaneous Cutting Speed is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Feed given Instantaneous Cutting Speed can be measured.

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Feed given Instantaneous Cutting Speed Formula

Feed given Instantaneous Cutting Speed Example

Feed given Instantaneous Cutting Speed Solution

Feed given Instantaneous Cutting Speed Formula Elements

Other formulas in Cutting Speed category

How to Evaluate Feed given Instantaneous Cutting Speed?

FAQs on Feed given Instantaneous Cutting Speed

Variable Name