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Rotational Frequency of Cutter given Roughness Value Formula

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Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time. Check FAQs

ω c = \sqrt{\frac{0.0642}{R \cdot d t}} \cdot V f

ω_c - Rotational Frequency of Cutter?R - Roughness Value?d_t - Diameter of Cutter?V_f - Feed Speed?

Rotational Frequency of Cutter given Roughness Value Example

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Here is how the Rotational Frequency of Cutter given Roughness Value equation looks like with Values.

Here is how the Rotational Frequency of Cutter given Roughness Value equation looks like with Units.

Here is how the Rotational Frequency of Cutter given Roughness Value equation looks like.

29.9986 = \sqrt{\frac{0.0642}{0.0171 \cdot 41.8}} \cdot 100

29.9986Hz = \sqrt{\frac{0.0642}{0.0171mm \cdot 41.8mm}} \cdot 100mm/s

29.9986 = \sqrt{\frac{0.0642}{0.0171 \cdot 41.8}} \cdot 100

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Rotational Frequency of Cutter given Roughness Value Solution

Follow our step by step solution on how to calculate Rotational Frequency of Cutter given Roughness Value?

FIRST Step Consider the formula

ω c = \sqrt{\frac{0.0642}{R \cdot d t}} \cdot V f

Next Step Substitute values of Variables

∴

ω c = \sqrt{\frac{0.0642}{0.0171mm \cdot 41.8mm}} \cdot 100mm/s

Next Step Convert Units

∴

ω c = \sqrt{\frac{0.0642}{1.7E-5m \cdot 0.0418m}} \cdot 0.1m/s

Next Step Prepare to Evaluate

∴

ω c = \sqrt{\frac{0.0642}{1.7E-5 \cdot 0.0418}} \cdot 0.1

Next Step Evaluate

∴

ω c = 29.9985856140494Hz

LAST Step Rounding Answer

∴

ω c = 29.9986Hz

Rotational Frequency of Cutter given Roughness Value Formula Elements

Variables

Functions

Rotational Frequency of Cutter

Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.

Symbol: ω_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of Cutter

Roughness Value

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roughness Value

Diameter of Cutter

The Diameter of Cutter is defined as the actual diameter of the cutter being used.

Symbol: d_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Cutter

Feed Speed

Feed Speed is the feed given against a workpiece per unit time.

Symbol: V_f

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Feed Speed

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Cutting Force and Surface Roughness category

Go Cutting Force given Rate of Energy Consumption during Machining

F c = \frac{Q c}{V c}

Go Cutting Force given Specific Cutting Energy in Machining

F c = Q sc \cdot A cs

Go Force required to remove Chip and Acting on Tool Face

F r = F rc - F p

Go Resultant Cutting Force using Force required to remove Chip

F rc = F r + F p

How to Evaluate Rotational Frequency of Cutter given Roughness Value?

Rotational Frequency of Cutter given Roughness Value evaluator uses Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed to evaluate the Rotational Frequency of Cutter, Rotational Frequency of Cutter given Roughness Value formula measures angular displacement of the cutter per unit time, also known as radial or circular frequency. Rotational Frequency of Cutter is denoted by ω_c symbol.

How to evaluate Rotational Frequency of Cutter given Roughness Value using this online evaluator? To use this online evaluator for Rotational Frequency of Cutter given Roughness Value, enter Roughness Value (R), Diameter of Cutter (d_t) & Feed Speed (V_f) and hit the calculate button.

FAQs on Rotational Frequency of Cutter given Roughness Value

What is the formula to find Rotational Frequency of Cutter given Roughness Value?

The formula of Rotational Frequency of Cutter given Roughness Value is expressed as Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed. Here is an example- 29.99859 = sqrt(0.0642/(1.7067E-05*0.0418))*0.1.

How to calculate Rotational Frequency of Cutter given Roughness Value?

With Roughness Value (R), Diameter of Cutter (d_t) & Feed Speed (V_f) we can find Rotational Frequency of Cutter given Roughness Value using the formula - Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed. This formula also uses Square Root (sqrt) function(s).

Can the Rotational Frequency of Cutter given Roughness Value be negative?

No, the Rotational Frequency of Cutter given Roughness Value, measured in Frequency cannot be negative.

Which unit is used to measure Rotational Frequency of Cutter given Roughness Value?

Rotational Frequency of Cutter given Roughness Value 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 Cutter given Roughness Value can be measured.

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Rotational Frequency of Cutter given Roughness Value Formula

Rotational Frequency of Cutter given Roughness Value Example

Rotational Frequency of Cutter given Roughness Value Solution

Rotational Frequency of Cutter given Roughness Value Formula Elements

Other formulas in Cutting Force and Surface Roughness category

How to Evaluate Rotational Frequency of Cutter given Roughness Value?

FAQs on Rotational Frequency of Cutter given Roughness Value

Variable Name