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Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates. Check FAQs
R=0.0321(f)2rc
R - Roughness Value?f - Feed?rc - Corner Radius of Tool?

Roughness Value of Tool Example

With values
With units
Only example

Here is how the Roughness Value of Tool equation looks like with Values.

Here is how the Roughness Value of Tool equation looks like with Units.

Here is how the Roughness Value of Tool equation looks like.

0.0171Edit=0.0321(0.9Edit)21.5235Edit
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Roughness Value of Tool Solution

Follow our step by step solution on how to calculate Roughness Value of Tool?

FIRST Step Consider the formula
R=0.0321(f)2rc
Next Step Substitute values of Variables
R=0.0321(0.9mm)21.5235mm
Next Step Convert Units
R=0.0321(0.0009m)20.0015m
Next Step Prepare to Evaluate
R=0.0321(0.0009)20.0015
Next Step Evaluate
R=1.70670037926675E-05m
Next Step Convert to Output's Unit
R=0.0170670037926675mm
LAST Step Rounding Answer
R=0.0171mm

Roughness Value of Tool 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.
Feed
The Feed is the distance as 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.
Corner Radius of Tool
The Corner Radius of Tool is a measurement describing the curve on the corners of labels.
Symbol: rc
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Roughness Value

​Go Roughness Value
R=f4(cot(θ)+cot(θ'))
​Go Roughness value given corner radius
R=0.0321(f)2rc
​Go Roughness value given feed speed
R=0.0642(Vf)2dt(ωc)2

Other formulas in Cutting Force and Surface Roughness category

​Go Cutting Force given Rate of Energy Consumption during Machining
Fc=QcVc
​Go Cutting Force given Specific Cutting Energy in Machining
Fc=QscAcs
​Go Force required to remove Chip and Acting on Tool Face
Fr=Frc-Fp
​Go Resultant Cutting Force using Force required to remove Chip
Frc=Fr+Fp

How to Evaluate Roughness Value of Tool?

Roughness Value of Tool evaluator uses Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool to evaluate the Roughness Value, Roughness Value of Tool is a quantitative measure of the texture of a surface. It is calculated as the arithmetic average of the absolute values of the surface height deviations measured from the mean line of the surface. Roughness Value is denoted by R symbol.

How to evaluate Roughness Value of Tool using this online evaluator? To use this online evaluator for Roughness Value of Tool, enter Feed (f) & Corner Radius of Tool (rc) and hit the calculate button.

FAQs on Roughness Value of Tool

What is the formula to find Roughness Value of Tool?
The formula of Roughness Value of Tool is expressed as Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool. Here is an example- 17.334 = 0.0321*(0.0009)^2/0.001523466.
How to calculate Roughness Value of Tool?
With Feed (f) & Corner Radius of Tool (rc) we can find Roughness Value of Tool using the formula - Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool.
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)))OpenImg
  • Roughness Value=0.0321*(Feed)^2/Corner Radius of ToolOpenImg
  • Roughness Value=(0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)OpenImg
Can the Roughness Value of Tool be negative?
No, the Roughness Value of Tool, measured in Length cannot be negative.
Which unit is used to measure Roughness Value of Tool?
Roughness Value of Tool is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Roughness Value of Tool can be measured.
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