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Instantaneous Radius for Cut Formula

GoInstantaneous Radius for Cut given Cutting Speed Formula

GoInstantaneous Radius for Cut given Rate of Increase of Wear-Land Formula

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

r = r o - ω s \cdot f \cdot t′

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

Instantaneous Radius for Cut Example

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Here is how the Instantaneous Radius for Cut equation looks like with Values.

Here is how the Instantaneous Radius for Cut equation looks like with Units.

Here is how the Instantaneous Radius for Cut equation looks like.

120 = 984 - 10 \cdot 0.9 \cdot 1.6

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

120 = 984 - 10 \cdot 0.9 \cdot 1.6

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Instantaneous Radius for Cut Solution

Follow our step by step solution on how to calculate Instantaneous Radius for Cut?

FIRST Step Consider the formula

r = r o - ω s \cdot f \cdot t′

Next Step Substitute values of Variables

∴

r = 984mm - 10Hz \cdot 0.9mm \cdot 1.6min

Next Step Convert Units

∴

r = 0.984m - 10Hz \cdot 0.0009m \cdot 96s

Next Step Prepare to Evaluate

∴

r = 0.984 - 10 \cdot 0.0009 \cdot 96

Next Step Evaluate

∴

r = 0.12m

LAST Step Convert to Output's Unit

∴

r = 120mm

Instantaneous Radius for Cut Formula Elements

Variables

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

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

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 Instantaneous Radius For Cut

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}

Other formulas in Instantaneous Radius category

Go Feed given Instantaneous Radius for Cut

f = \frac{r o - r}{ω s \cdot t′}

Go Workpiece Radius Ratio

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

Go Outside Radius of Workpiece given Instantaneous Radius for Cut

r o = r + ω s \cdot f \cdot t′

Go Inside Radius given Workpiece Radius Ratio

r i = R w \cdot r o

How to Evaluate Instantaneous Radius for Cut?

Instantaneous Radius for Cut evaluator uses Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time to evaluate the Instantaneous Radius For Cut, The Instantaneous Radius for Cut is defined as the maximum radius of the workpiece that can be machined on a given spindle speed. Instantaneous Radius For Cut is denoted by r symbol.

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

FAQs on Instantaneous Radius for Cut

What is the formula to find Instantaneous Radius for Cut?

The formula of Instantaneous Radius for Cut is expressed as Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time. Here is an example- 120000 = 0.984-10*0.0009*96.

How to calculate Instantaneous Radius for Cut?

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

What are the other ways to Calculate Instantaneous Radius For Cut?

Here are the different ways to Calculate Instantaneous Radius For Cut-

Instantaneous Radius For Cut=Cutting Velocity/(2*pi*Rotational Frequency of Spindle)
Instantaneous Radius For Cut=(Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)/(2*pi*Rotational Frequency of Spindle)

Can the Instantaneous Radius for Cut be negative?

No, the Instantaneous Radius for Cut, measured in Length cannot be negative.

Which unit is used to measure Instantaneous Radius for Cut?

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 Instantaneous Radius for Cut can be measured.

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Instantaneous Radius for Cut Formula

​GoInstantaneous Radius for Cut given Cutting Speed Formula

​GoInstantaneous Radius for Cut given Rate of Increase of Wear-Land Formula

Instantaneous Radius for Cut Example

Instantaneous Radius for Cut Solution

Instantaneous Radius for Cut Formula Elements

Other Formulas to find Instantaneous Radius For Cut

Other formulas in Instantaneous Radius category

How to Evaluate Instantaneous Radius for Cut?

FAQs on Instantaneous Radius for Cut

Variable Name

GoInstantaneous Radius for Cut given Cutting Speed Formula

GoInstantaneous Radius for Cut given Rate of Increase of Wear-Land Formula