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Roughness value given feed speed Formula

GoRoughness Value Formula

GoRoughness value given corner radius Formula

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

R = \frac{0.0642 \cdot {(V f)}^{2}}{d t \cdot {(ω c)}^{2}}

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

Roughness value given feed speed Example

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Here is how the Roughness value given feed speed equation looks like with Values.

Here is how the Roughness value given feed speed equation looks like with Units.

Here is how the Roughness value given feed speed equation looks like.

0.0171 = \frac{0.0642 \cdot {(100)}^{2}}{41.8 \cdot {(30)}^{2}}

0.0171mm = \frac{0.0642 \cdot {(100mm/s)}^{2}}{41.8mm \cdot {(30Hz)}^{2}}

0.0171 = \frac{0.0642 \cdot {(100)}^{2}}{41.8 \cdot {(30)}^{2}}

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Roughness value given feed speed Solution

Follow our step by step solution on how to calculate Roughness value given feed speed?

FIRST Step Consider the formula

R = \frac{0.0642 \cdot {(V f)}^{2}}{d t \cdot {(ω c)}^{2}}

Next Step Substitute values of Variables

∴

R = \frac{0.0642 \cdot {(100mm/s)}^{2}}{41.8mm \cdot {(30Hz)}^{2}}

Next Step Convert Units

∴

R = \frac{0.0642 \cdot {(0.1m/s)}^{2}}{0.0418m \cdot {(30Hz)}^{2}}

Next Step Prepare to Evaluate

∴

R = \frac{0.0642 \cdot {(0.1)}^{2}}{0.0418 \cdot {(30)}^{2}}

Next Step Evaluate

∴

R = 1.70653907496013E-05m

Next Step Convert to Output's Unit

∴

R = 0.0170653907496013mm

LAST Step Rounding Answer

∴

R = 0.0171mm

Roughness value given feed speed Formula Elements

Variables

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

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

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

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

Other Formulas to find Roughness Value

Go Roughness Value

R = \frac{f}{4 \cdot (\cot (θ) + \cot (θ'))}

Go Roughness value given corner radius

R = 0.0321 \cdot \frac{{(f)}^{2}}{r c}

Go Roughness Value of Tool

R = 0.0321 \cdot \frac{{(f)}^{2}}{r c}

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 Roughness value given feed speed?

Roughness value given feed speed evaluator uses Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2) to evaluate the Roughness Value, Roughness value given feed speed is a critical measure in machining and manufacturing that quantifies the texture of a surface. It is typically expressed in micrometers or microinches. The roughness value can be influenced by various machining parameters, including feed rate (or feed speed), cutting speed, tool geometry, and material properties. Roughness Value is denoted by R symbol.

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

FAQs on Roughness value given feed speed

What is the formula to find Roughness value given feed speed?

The formula of Roughness value given feed speed is expressed as Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2). Here is an example- 17.06539 = (0.0642*(0.1)^2)/(0.0418*(30)^2).

How to calculate Roughness value given feed speed?

With Feed Speed (V_f), Diameter of Cutter (d_t) & Rotational Frequency of Cutter (ω_c) we can find Roughness value given feed speed using the formula - Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2).

What are the other ways to Calculate Roughness Value?

Here are the different ways to Calculate Roughness Value-

Roughness Value=Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge)))
Roughness Value=0.0321*(Feed)^2/Corner Radius of Tool
Roughness Value=0.0321*(Feed)^2/Corner Radius of Tool

Can the Roughness value given feed speed be negative?

No, the Roughness value given feed speed, measured in Length cannot be negative.

Which unit is used to measure Roughness value given feed speed?

Roughness value given feed speed is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Roughness value given feed speed can be measured.

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Roughness value given feed speed Formula

​GoRoughness Value Formula

​GoRoughness value given corner radius Formula

Roughness value given feed speed Example

Roughness value given feed speed Solution

Roughness value given feed speed Formula Elements

Other Formulas to find Roughness Value

Other formulas in Cutting Force and Surface Roughness category

How to Evaluate Roughness value given feed speed?

FAQs on Roughness value given feed speed

Variable Name

GoRoughness Value Formula

GoRoughness value given corner radius Formula