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Rotational Frequency of Spindle given Instantaneous Radius for Cut Formula

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

ω s = \frac{r o - r}{t′ \cdot f}

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

Rotational Frequency of Spindle given Instantaneous Radius for Cut Example

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Here is how the Rotational Frequency of Spindle given Instantaneous Radius for Cut equation looks like with Values.

Here is how the Rotational Frequency of Spindle given Instantaneous Radius for Cut equation looks like with Units.

Here is how the Rotational Frequency of Spindle given Instantaneous Radius for Cut equation looks like.

10 = \frac{984 - 120}{1.6 \cdot 0.9}

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

10 = \frac{984 - 120}{1.6 \cdot 0.9}

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Rotational Frequency of Spindle given Instantaneous Radius for Cut Solution

Follow our step by step solution on how to calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut?

FIRST Step Consider the formula

ω s = \frac{r o - r}{t′ \cdot f}

Next Step Substitute values of Variables

∴

ω s = \frac{984mm - 120mm}{1.6min \cdot 0.9mm}

Next Step Convert Units

∴

ω s = \frac{0.984m - 0.12m}{96s \cdot 0.0009m}

Next Step Prepare to Evaluate

∴

ω s = \frac{0.984 - 0.12}{96 \cdot 0.0009}

LAST Step Evaluate

∴

ω s = 10Hz

Rotational Frequency of Spindle given Instantaneous Radius for Cut Formula Elements

Variables

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

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

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

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

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 Rotational Frequency of Spindle given Instantaneous Radius for Cut?

Rotational Frequency of Spindle given Instantaneous Radius for Cut evaluator uses Rotational Frequency of Spindle = (Outside Radius of The Workpiece-Instantaneous Radius For Cut)/(Process Time*Feed) to evaluate the Rotational Frequency of Spindle, The Rotational Frequency of Spindle given Instantaneous Radius for Cut is a method to determine the required frequency of rotation of the Spindle of a Machining Tool for a given Cutting Radius of Workpiece. Rotational Frequency of Spindle is denoted by ω_s symbol.

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

FAQs on Rotational Frequency of Spindle given Instantaneous Radius for Cut

What is the formula to find Rotational Frequency of Spindle given Instantaneous Radius for Cut?

The formula of Rotational Frequency of Spindle given Instantaneous Radius for Cut is expressed as Rotational Frequency of Spindle = (Outside Radius of The Workpiece-Instantaneous Radius For Cut)/(Process Time*Feed). Here is an example- 9.814811 = (0.984-0.12)/(96*0.0009).

How to calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut?

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

Can the Rotational Frequency of Spindle given Instantaneous Radius for Cut be negative?

No, the Rotational Frequency of Spindle given Instantaneous Radius for Cut, measured in Frequency cannot be negative.

Which unit is used to measure Rotational Frequency of Spindle given Instantaneous Radius for Cut?

Rotational Frequency of Spindle given Instantaneous Radius for Cut is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Rotational Frequency of Spindle given Instantaneous Radius for Cut can be measured.

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Rotational Frequency of Spindle given Instantaneous Radius for Cut Formula

Rotational Frequency of Spindle given Instantaneous Radius for Cut Example

Rotational Frequency of Spindle given Instantaneous Radius for Cut Solution

Rotational Frequency of Spindle given Instantaneous Radius for Cut Formula Elements

Other formulas in Instantaneous Radius category

How to Evaluate Rotational Frequency of Spindle given Instantaneous Radius for Cut?

FAQs on Rotational Frequency of Spindle given Instantaneous Radius for Cut

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