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Instantaneous Radius for Cut given Cutting Speed Formula

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

GoInstantaneous Radius for Cut Formula

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

r = \frac{V}{2 \cdot π \cdot ω s}

r - Instantaneous Radius For Cut?V - Cutting Velocity?ω_s - Rotational Frequency of Spindle?π - Archimedes' constant?

Instantaneous Radius for Cut given Cutting Speed Example

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

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

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

7199.9977 = \frac{452.3892}{2 \cdot 3.1416 \cdot 10}

7199.9977mm = \frac{452.3892m/s}{2 \cdot 3.1416 \cdot 10Hz}

7199.9977 = \frac{452.3892}{2 \cdot 3.1416 \cdot 10}

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Instantaneous Radius for Cut given Cutting Speed Solution

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

FIRST Step Consider the formula

r = \frac{V}{2 \cdot π \cdot ω s}

Next Step Substitute values of Variables

∴

r = \frac{452.3892m/s}{2 \cdot π \cdot 10Hz}

Next Step Substitute values of Constants

∴

r = \frac{452.3892m/s}{2 \cdot 3.1416 \cdot 10Hz}

Next Step Prepare to Evaluate

∴

r = \frac{452.3892}{2 \cdot 3.1416 \cdot 10}

Next Step Evaluate

∴

r = 7.19999773813881m

Next Step Convert to Output's Unit

∴

r = 7199.99773813881mm

LAST Step Rounding Answer

∴

r = 7199.9977mm

Instantaneous Radius for Cut given Cutting Speed Formula Elements

Variables

Constants

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

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

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

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 to find Instantaneous Radius For Cut

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′

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 given Cutting Speed?

Instantaneous Radius for Cut given Cutting Speed evaluator uses Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle) to evaluate the Instantaneous Radius For Cut, The Instantaneous Radius for Cut given Cutting Speed is a method to determine the maximum radius of the workpiece that can be machined on a given spindle speed such that the Instantaneous Cutting Speed is not disturbed. Instantaneous Radius For Cut is denoted by r symbol.

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

FAQs on Instantaneous Radius for Cut given Cutting Speed

What is the formula to find Instantaneous Radius for Cut given Cutting Speed?

The formula of Instantaneous Radius for Cut given Cutting Speed is expressed as Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle). Here is an example- 120000 = 452.3892/(2*pi*10).

How to calculate Instantaneous Radius for Cut given Cutting Speed?

With Cutting Velocity (V) & Rotational Frequency of Spindle (ω_s) we can find Instantaneous Radius for Cut given Cutting Speed using the formula - Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle). This formula also uses Archimedes' constant .

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=(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)
Instantaneous Radius For Cut=Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time

Can the Instantaneous Radius for Cut given Cutting Speed be negative?

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

Which unit is used to measure Instantaneous Radius for Cut given Cutting Speed?

Instantaneous Radius for Cut given Cutting Speed 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 given Cutting Speed can be measured.

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Instantaneous Radius for Cut given Cutting Speed Formula

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

​GoInstantaneous Radius for Cut Formula

Instantaneous Radius for Cut given Cutting Speed Example

Instantaneous Radius for Cut given Cutting Speed Solution

Instantaneous Radius for Cut given Cutting Speed Formula Elements

Other Formulas to find Instantaneous Radius For Cut

Other formulas in Instantaneous Radius category

How to Evaluate Instantaneous Radius for Cut given Cutting Speed?

FAQs on Instantaneous Radius for Cut given Cutting Speed

Variable Name

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

GoInstantaneous Radius for Cut Formula