Destiny Tool
408.988.8898
  • Home
    • Quick Links
  • About
    • Terms & Conditions
    • Test Tool Policy
    • RGA Returned Goods Authorization
    • Sponsorship
  • Technical
    • Carbide Substrate
    • Geometry
    • Coatings
    • Chip Formation
    • ISO 513 & Formulas
    • Speeds & Feeds >
      • Viper S&F
      • Diamond Back S&F
      • Raptor DVH S&F
      • Raptor 3/6 S&F
      • Python S&F
      • Miniature S&F
    • Ball End Mills
    • Charts & Calculators
    • Surface Finish
    • Torque Efficiency
    • Toolholders
    • End Mill Troubleshooting
  • Products
    • Select an End Mill
    • Viper DVH
    • Diamond Back
    • Raptor DVH
    • Raptor DVH 3/6
    • Python
    • Miniatures >
      • Viper Mini ERS
      • Cobra Miniatures
    • Specialty Tools >
      • Chamfer Tools
      • Countersinks
      • Corner Rounders
      • Dovetail Cutters
      • Drill Mills
      • Engraving Tools
      • Spot Drills
      • Thread Mills
  • News
  • Events
  • Contact
    • Consultation Request
    • Test Tool Report
    • Specials Request
    • Distributor LogIn

Understanding Surface Finish

RMS and Ra are based on different methods of calculating the roughness. Both are done with a profilometer, but the profilometer calculates the roughness differently for Ra and RMS.  

Ra is the arithmetic average of surface heights measured across a surface. Simply average the height across the microscopic peaks and valleys.

Ra and RMS are both representations of surface roughness, but each is calculated differently. 

Ra is calculated as the Roughness Average of a surfaces measured microscopic peaks and valleys. 

RMS is calculated as the Root Mean Square of a surfaces measured microscopic peaks and valleys. Each value uses the same individual height measurements of the surfaces peaks and valleys, but uses the measurements in a different formula. 

A single large peak or flaw within the microscopic surface texture will effect (raise) the RMS value more than the Ra value, which is why Ra is more commonly used today as a measurement.

  • The RMS is sensitive to the BIG peaks and valleys.  Ra is not.
  • Both numbers can be expressed in metric or inch.
  • RMS was more popular 40 years ago when most US industry still worked in inches. Old inch drawings specify RMS.
  • Ra is more commonly used today. (now most US industries work in metric) So they specify Ra in metric.
  • Both Ra and RMS can be expressed in metric or inch.
  • There is no reliable way to convert between Ra and RMS. This formula can be used to convert: RMS (Microinch) = (Ra/.0254) X 1.11 (Micrometer) However, that is only an estimate based on guessing what the shape of the microsurface looks like.
Click on the image for a larger view.
Picture
Ra roughness average is the main height as calculated over the entire measured length or area. It is quoted in micrometers or micro-inches. For 2 dimensional computation: Ra = 1/n * SUM(ABS[Zi-Zmean] from i = 1 to n

RMS is a Root Mean Squared calculation. That means you:
  1. Measure height across the microscopic peaks and valleys.
  2. Calculate the SQUARE of each measurement value.
  3. Calculate the MEAN (or average) of those numbers (squared).
  4. Find the square ROOT of that number.

The Root Mean Square (RMS)average is precisely that: the square root of the average height deviations from the mean line/surface squared. 
RMS = SQRT[ 1/n* SUM(Zi-Zmean)^2 ] from i=1 to n

Machining surface finish chart: Ra vs RMS

The following is the conversion chart for Ra (um), Ra (micro inch), Rz (um), RMS.
Picture

READ THE NEXT TOPIC
Torque Efficiency

CONTACT US

Destiny Tool
18434 Technology Dr.
​Morgan Hill, CA 95037
US TF: 800.527.8665  
Tel: 408.988.8898    
​Fax: 408.988.2606
info@destinytool.com

FORMS

Consultation Request
Test Tool Form
Specials RFQ
RGA Form
​Check Stock
Sponsorship

REGISTER

Picture

CONNECT WITH US


Picture
Picture
Picture
 WARNING: These products contain Cobalt, a chemical known to the State of California to cause cancer. ​For more information go to www.P65Warnings.ca.gov
​©2022  Destiny Tool. All Rights Reserved        site design: Rapid Production Marketing