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Time for Facing given Instantaneous Cutting Speed Formula

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

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

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

Time for Facing given Instantaneous Cutting Speed Example

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Here is how the Time for Facing given Instantaneous Cutting Speed equation looks like with Values.

Here is how the Time for Facing given Instantaneous Cutting Speed equation looks like with Units.

Here is how the Time for Facing given Instantaneous Cutting Speed equation looks like.

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

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

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

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Time for Facing given Instantaneous Cutting Speed Solution

Follow our step by step solution on how to calculate Time for Facing given Instantaneous Cutting Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

t = \frac{1m - (\frac{0.1333m/s}{2 \cdot 3.1416 \cdot 10Hz})}{10Hz \cdot 0.0003m}

Next Step Prepare to Evaluate

∴

t = \frac{1 - (\frac{0.1333}{2 \cdot 3.1416 \cdot 10})}{10 \cdot 0.0003}

Next Step Evaluate

∴

t = 331.692000028714s

Next Step Convert to Output's Unit

∴

t = 5.52820000047856min

LAST Step Rounding Answer

∴

t = 5.5282min

Time for Facing given Instantaneous Cutting Speed Formula Elements

Variables

Constants

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

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

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

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 Instantaneous Cutting Speed given Feed

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

How to Evaluate Time for Facing given Instantaneous Cutting Speed?

Time for Facing given Instantaneous Cutting Speed evaluator uses Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed) to evaluate the Process Time, Time for Facing given Instantaneous Cutting Speed refers to the duration required to complete a facing operation, where a cutting tool removes material from the surface of a workpiece to create a flat, smooth surface. This time is influenced by various factors, including the instantaneous cutting speed, workpiece dimensions, feed rate, depth of cut, and machine setup. Process Time is denoted by t symbol.

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

FAQs on Time for Facing given Instantaneous Cutting Speed

What is the formula to find Time for Facing given Instantaneous Cutting Speed?

The formula of Time for Facing given Instantaneous Cutting Speed is expressed as Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed). Here is an example- 4.834587 = (1-(0.133333333333333/(2*pi*10)))/(10*0.0003008447397).

How to calculate Time for Facing given Instantaneous Cutting Speed?

With Outer Radius of Workpiece (R_o), Cutting Velocity (V), Rotational Frequency of Spindle (ω_s) & Feed (f) we can find Time for Facing given Instantaneous Cutting Speed using the formula - Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed). This formula also uses Archimedes' constant .

Can the Time for Facing given Instantaneous Cutting Speed be negative?

No, the Time for Facing given Instantaneous Cutting Speed, measured in Time cannot be negative.

Which unit is used to measure Time for Facing given Instantaneous Cutting Speed?

Time for Facing given Instantaneous Cutting Speed is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Time for Facing given Instantaneous Cutting Speed can be measured.

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Time for Facing given Instantaneous Cutting Speed Formula

Time for Facing given Instantaneous Cutting Speed Example

Time for Facing given Instantaneous Cutting Speed Solution

Time for Facing given Instantaneous Cutting Speed Formula Elements

Other formulas in Cutting Speed category

How to Evaluate Time for Facing given Instantaneous Cutting Speed?

FAQs on Time for Facing given Instantaneous Cutting Speed

Variable Name