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Outside Radius of Workpiece given Instantaneous Radius for Cut Formula

GoOutside Radius given Workpiece Radius Ratio Formula

GoOutside Radius of Workpiece given Instantaneous Cutting Speed Formula

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Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool. Check FAQs

r o = r + ω s \cdot f \cdot t′

r_o - Outside Radius of The Workpiece?r - Instantaneous Radius For Cut?ω_s - Rotational Frequency of Spindle?f - Feed?t′ - Process Time?

Outside Radius of Workpiece given Instantaneous Radius for Cut Example

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Here is how the Outside Radius of Workpiece given Instantaneous Radius for Cut equation looks like with Values.

Here is how the Outside Radius of Workpiece given Instantaneous Radius for Cut equation looks like with Units.

Here is how the Outside Radius of Workpiece given Instantaneous Radius for Cut equation looks like.

984 = 120 + 10 \cdot 0.9 \cdot 1.6

984mm = 120mm + 10Hz \cdot 0.9mm \cdot 1.6min

984 = 120 + 10 \cdot 0.9 \cdot 1.6

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Outside Radius of Workpiece given Instantaneous Radius for Cut Solution

Follow our step by step solution on how to calculate Outside Radius of Workpiece given Instantaneous Radius for Cut?

FIRST Step Consider the formula

r o = r + ω s \cdot f \cdot t′

Next Step Substitute values of Variables

∴

r o = 120mm + 10Hz \cdot 0.9mm \cdot 1.6min

Next Step Convert Units

∴

r o = 0.12m + 10Hz \cdot 0.0009m \cdot 96s

Next Step Prepare to Evaluate

∴

r o = 0.12 + 10 \cdot 0.0009 \cdot 96

Next Step Evaluate

∴

r o = 0.984m

LAST Step Convert to Output's Unit

∴

r o = 984mm

Outside Radius of Workpiece given Instantaneous Radius for Cut Formula Elements

Variables

Outside Radius of The Workpiece

Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

Symbol: r_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outside Radius of The Workpiece

Instantaneous Radius For Cut

Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Instantaneous Radius For Cut

Rotational Frequency of Spindle

Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.

Symbol: ω_s

Measurement: FrequencyUnit: Hz

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

Process Time

Process Time is the time for which any process has been carried out irrespective of its completion.

Symbol: t′

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Process Time

Other Formulas to find Outside Radius of The Workpiece

Go Outside Radius given Workpiece Radius Ratio

r o = \frac{r i}{R w}

Go Outside Radius of Workpiece given Instantaneous Cutting Speed

r o = (\frac{V}{2 \cdot π \cdot ω s}) + ω s \cdot f \cdot t′

Go Outside Radius of Workpiece given Optimum Spindle Speed

r o = (\frac{V ref}{2 \cdot π \cdot ω s}) \cdot {(\frac{(1 + n) \cdot C t \cdot L ref \cdot (1 - R w)}{(1 - n) \cdot (C t \cdot t c + C t) \cdot (1 - ({R w}^{\frac{1 + n}{n}}))})}^{n}

Other formulas in Instantaneous Radius category

Go Instantaneous Radius for Cut given Cutting Speed

r = \frac{V}{2 \cdot π \cdot ω s}

Go Instantaneous Radius for Cut given Rate of Increase of Wear-Land

r = \frac{V ref \cdot {(W r \cdot \frac{L ref}{W max})}^{n}}{2 \cdot π \cdot ω s}

Go Instantaneous Radius for Cut

r = r o - ω s \cdot f \cdot t′

Go Feed given Instantaneous Radius for Cut

f = \frac{r o - r}{ω s \cdot t′}

How to Evaluate Outside Radius of Workpiece given Instantaneous Radius for Cut?

Outside Radius of Workpiece given Instantaneous Radius for Cut evaluator uses Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time to evaluate the Outside Radius of The Workpiece, The Outside Radius of Workpiece given Instantaneous Radius for Cut is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool. Outside Radius of The Workpiece is denoted by r_o symbol.

How to evaluate Outside Radius of Workpiece given Instantaneous Radius for Cut using this online evaluator? To use this online evaluator for Outside Radius of Workpiece given Instantaneous Radius for Cut, enter Instantaneous Radius For Cut (r), Rotational Frequency of Spindle (ω_s), Feed (f) & Process Time (t′) and hit the calculate button.

FAQs on Outside Radius of Workpiece given Instantaneous Radius for Cut

What is the formula to find Outside Radius of Workpiece given Instantaneous Radius for Cut?

The formula of Outside Radius of Workpiece given Instantaneous Radius for Cut is expressed as Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time. Here is an example- 1E+6 = 0.12+10*0.0009*96.

How to calculate Outside Radius of Workpiece given Instantaneous Radius for Cut?

With Instantaneous Radius For Cut (r), Rotational Frequency of Spindle (ω_s), Feed (f) & Process Time (t′) we can find Outside Radius of Workpiece given Instantaneous Radius for Cut using the formula - Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time.

What are the other ways to Calculate Outside Radius of The Workpiece?

Here are the different ways to Calculate Outside Radius of The Workpiece-

Outside Radius of The Workpiece=Inner Radius of Workpiece/Workpiece Radius Ratio
Outside Radius of The Workpiece=(Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time
Outside Radius of The Workpiece=(Reference Cutting Velocity/(2*pi*Rotational Frequency of Spindle))*(((1+Taylor's Tool Life Exponent)*Cost of A Tool*Reference Tool Life*(1-Workpiece Radius Ratio))/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))))^Taylor's Tool Life Exponent

Can the Outside Radius of Workpiece given Instantaneous Radius for Cut be negative?

No, the Outside Radius of Workpiece given Instantaneous Radius for Cut, measured in Length cannot be negative.

Which unit is used to measure Outside Radius of Workpiece given Instantaneous Radius for Cut?

Outside Radius of Workpiece given Instantaneous Radius for Cut is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Outside Radius of Workpiece given Instantaneous Radius for Cut can be measured.

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Outside Radius of Workpiece given Instantaneous Radius for Cut Formula

​GoOutside Radius given Workpiece Radius Ratio Formula

​GoOutside Radius of Workpiece given Instantaneous Cutting Speed Formula

Outside Radius of Workpiece given Instantaneous Radius for Cut Example

Outside Radius of Workpiece given Instantaneous Radius for Cut Solution

Outside Radius of Workpiece given Instantaneous Radius for Cut Formula Elements

Other Formulas to find Outside Radius of The Workpiece

Other formulas in Instantaneous Radius category

How to Evaluate Outside Radius of Workpiece given Instantaneous Radius for Cut?

FAQs on Outside Radius of Workpiece given Instantaneous Radius for Cut

Variable Name

GoOutside Radius given Workpiece Radius Ratio Formula

GoOutside Radius of Workpiece given Instantaneous Cutting Speed Formula