Ra & RMS Surface Roughness Calculation

Ra & RMS Surface Roughness Calculation
  • Standards : ASME B46.1
  • RA Formula: Ra = (1/L) * ∫ |Z(x)| dx
  • RMS Formula: RMS = √((1/L) * ∫ Z(x)² dx)



 

 

 

Understand Difference Between RMS vs Ra

 

 

RMS vs Ra Comparision

RMS

  • Root Mean Square
  • Use : General manufacturing

Ra

  • Roughness Average
  • Use : Aerospace

Must Know Surface Roughness vs Surface Finish

 

Surface Roughness vs Surface Finish

Surface Roughness

  • Measured using specific instruments
  • Parameters :Ra, Rq

Surface Finish

  • based on roughness value
  • Parameters : Roughness

Find Ra Roughness Chart and Different Method of Measuring Roughness

 

Ra Roughness Chart
Roughness Average Ra
μm μin
3.2-25 128-1000
12.5-25 500-1000
0.8-35 32-1000
1.6-6.3 64-250
3.2-12.5 128-500
0.8-6.3 32-250
0.8-3.2 32-128
0.4-6.3 16-250
0.8-1.6 32-64
0.1-0.4 4-16
0.4-1.6 16-64
0.1-0.8 4-32
0.025-0.4 1-16
0.05-0.4 2-16

 

How to Measure Surface Roughness?
  • Contact profilometer
  • Non-contact profilometer
  • Portable surface roughness tester
  • Surface roughness comparator

Check Surface Roughness Conversion Chart and Calculator Here

 

Surface Roughness Conversion Chart
Ra (Micro-meters) Rt** Ra (Micro-inches) N
0.05 0.5 2 N2
0.025 0.3 1 N1
0.1 0.8 4 N3
0.4 2 16 N5
0.2 1.2 8 N4
0.8 4 32 N6
3.2 13 125 N8
1.6 8 63 N7
6.3 25 250 N9
25 100 1000 N11
12.5 50 500 N10
50 200 2000 N12

 

Turning Surface Roughness Calculator

²
÷
× 24
=
÷ 1000000

500000
× 1.11 =
Surface Roughness
>

 

Surface Roughness Chart
Surface Roughness Chart

See Grit Vs Ra Chart Here

 

Grit Vs RA Chart
Grit Finish RMS (Micron) RMS (Micro-inch) Ra (Micron) Ra (Micro-inch)
36 4.06 160 3.61 142
80 2.03 80 1.8 71
60 2.49 98 2.21 87
150 1.2 47 1.06 42
120 1.47 58 1.32 52
220 0.53 21 0.48 19
180 0.86 34 0.76 30
320 0.36 14 0.3 12
240 0.43 17 0.38 15
400 0.25 10 0.23 9
Mirror 0.13 5 0.1 4

 

Types of Machining Finishes
  • As-Machined Finish
  • Smooth Finish
  • Textured Finish
  • Mirror Finish
  • Anodised Finish

 

Surface Roughness Symbol And Meaning
Symbol Meaning
Surface Roughness Basic Surface Texture Symbol
Surface Roughness Material Removal Required
Surface Roughness Material Removel Prohibited
Surface Roughness Surface Texture Symobel

 

How To Choose the Most Suitable CNC Machining Surface Roughness?
  • Functionality and Purpose
  • Cost and Lead Time
  • Aesthetics
  • Material Properties
  • Part Geometry

 

Ra Surface Finish Grade Numbers Equivalent Ra values
Roughness N ISO Grade Numbers Roughness values Ra microinches (μin.) Roughness values Ra micrometers (μm) CLA (μin.) Center Line Avg. RMS Rt Roughness, microns
N11 1000 25 1000 1100 100
N12 2000 50 2000 2200 200
N9 250 6.3 250 275 25
N10 500 12.5 500 550 50
N7 63 1.6 63 64.3 8.0
N8 125 3.2 125 137.5 13
N5 16 0.4 16 17.6 2.0
N6 32 0.8 32 32.5 4.0
N4 8 0.2 8 8.8 1.2
N2 2 0.05 2 2.2 0.5
N3 4 0.1 4 4.4 0.8
N1 1 0.025 1 1.1 0.3

 

Surface Finish Measurements
Electropolishing Stainless Steel 202 Pipes Maintain

 

RMS Roughness Calculation
  • RMS = SQRT[ 1/n* SUM(Zi-Zmean)^2 ] from i=1 to n
  • Measure height across the microscopic peaks and valleys
  • Calculate the SQUARE of each value
  • Calculate the MEAN
  • Find the square ROOT

 

Ra value For Different Material
Material RA Value
Steel 0.2 µm to 3 µm
Aluminum 0.1 µm to 1 µm
Copper 0.1 µm to 1 µm
Titanium 0.5 µm to 4 µm

 

What Is Significance Of Ra And RMS In Industry?
  • material selection
  • Choosing processing techniques
  • Can Improve durability
  • functionality
  • enhancing performance

 

Surface Roughness Abbreviation
Abbreaviations Meaning
Ra Average Surface Roughness
Rmax Vertical Distance from Peak to Valley
Rz Average Maximum Height of the Profile

 

What Are the Factors Affecting Surface Finish?
  • Machine tool condition
  • Feeds and speeds
  • Cut width
  • Vibration
  • Tool deflection
  • Coolant

 

Average Roughness Value Of Different Machining Process
Machining Processes Roughness Average Range
Max. Min. Max. Min. Max. Min.
RA(μm) RA(μm) RMS(μm) RMS(μm) CLA(μin) CLA(μin)
Flame Cutting 25 12.5 27.5 13.75 1000 500
Sawing 25 1.6 27.5 1.76 1000 63
Drilling 6.3 1.6 6.93 1.76 250 63
EDM Machining 0.4 0.1 0.44 0.11 250 63
Broaching 3.2 0.8 3.52 0.88 125 32
Electron Beam 6.3 0.8 6.93 0.88 250 32
Electro-Chemical 3.2 0.2 3.52 0.22 125 8
Barrel Finishing 0.8 0.2 0.88 0.22 32 8
Roller Burnishing 0.4 0.2 0.44 0.22 16 8
Honing 0.8 0.1 0.88 0.11 32 4
Polishing 0.4 0.1 0.44 0.11 16 4
Super Finishing 0.2 0.025 0.22 0.0275 8 1
Hot Rolling 25 12.5 27.5 13.75 1000 500
Perm. Mold Casting 3.2 1.6 3.52 1.76 125 64
Cold Rolling, Drawing 3.2 0.8 3.52 0.88 125 32

 

CNC Machining Achievable Surface Roughness
  • 1.6 μm Ra
  • 3.2 μm Ra
  • 0.4 μm Ra
  • 0.8 μm Ra